Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the tip of the tree's shadow at point C. BE is two and a half times EC. Tanya is 5 feet, 3 inches tall. How tall is the tree in feet?
Answers
TRIANGLE ABC
The height of the tree is the segment AB. The shadow of the tree is BC.
TRIANGLE DEC
Tanya's height is 5 feet 3 inches (since there are 12 inches in one foot that is (5)(12)+3 = 63 inches).
Tanya's shadow is EC
Since both triangles are right triangles (the both have a right angle) and they share the angle at C, they are similar triangles. That means that their corresponding angles are congruent and their corresponding sides are in proportion.
We can set up the following proportion:
(tree height / tree shadow) = (Tanya's height / Tanya's shadow)
BE is 2.5 times EC. This means that BE is (2.5)(EC). It also means that BC = 2.5EC + EC = 3.5EC
The shadow of the tree is 3.5 times Tanya's shadow. That means that the height of the tree must be 3.5 times Tanya's height.
The height of the tree is (3.5)(63) = 220.5 inches. If we divide this by 12 we get 18.375 which means 18 feet and some inches. (18)(12)=216 and the tree is 220.5. That means the tree is 18 feet and 4.5 inches.
The height of the tree is 7.35 feet.
To find the height of the tree, we need to use similar triangles. Here’s the detailed process:
Understand the problem and convert units: Tanya is 5 feet, 3 inches tall. Convert her height to feet.
- 3 inches is 0.25 feet.
- So, Tanya’s height is [tex]\( 5 + 0.25 = 5.25 \)[/tex] feet.
According to diagram
- A tree T with height h.
- Tanya is standing at a point B, with her shadow extending to point E.
- The tree’s shadow extends to point C.
- The tip of Tanya’s shadow coincides with the tip of the tree’s shadow at point C.
- Let E be the point where Tanya’s shadow ends.
- Let EC = x.
- [tex]\( BE = 2.5 \times EC = 2.5x \)[/tex].
Using similar triangles:
[tex]\[ \frac{\text{Tanya's height}}{\text{Length of Tanya's shadow}} = \frac{\text{Tree's height}}{\text{Length of tree's shadow}} \][/tex]
[tex]\[ \frac{5.25}{2.5x} = \frac{h}{3.5x} \][/tex]
Simplify the ratio:
[tex]\[ \frac{5.25}{2.5} = \frac{h}{3.5} \][/tex]
Cross-multiply and solve for h:
[tex]\[ 5.25 \times 3.5 = 2.5 \times h \][/tex]
Calculate [tex]\( 5.25 \times 3.5 \):[/tex]
[tex]\[ 5.25 \times 3.5 = 18.375 \][/tex]
Now, divide by 2.5 to find h:
[tex]\[ h = \frac{18.375}{2.5} = 7.35 \][/tex]
The complete question is
Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the tip of the tree's shadow at point C. BE is two and a half times EC. Tanya is 5 feet, 3 inches tall. How tall is the tree in feet?
Related Questions
What the answer plz help it dividing
Answers
[tex] \frac{9y^{3} - 9y^{2}}{y} \\ \frac{9y^3}{y} - \frac{9y^2}{y} \\ 9y^2 - 9y[/tex]
PLEASE HELP A flight across the US takes longer east to west then it does west to east. This is due to the plane having a headwind flying westward (thus slowing it down) and a tailwind flying eastward (thus pushing it along faster). Suppose you are flying from Philadelphia, PA to San Diego, CA. The distance between the cities is 2,400 miles and the plane's speed is 450 mi/hr. What is the speed of the wind?
Complete the chart
Going westward- Distance - Rate- Time
Going Eastward-
Write an equation to represent the total time if the round trip takes 11 hours.
Solve your equation to find the speed of the wind. Round to the nearest mph.
PLEASE HELP!
PLEASE ANSWER CORRECTLY TO GET BRAINLIEST ANSWER
Answers
where
[tex]d[/tex] is distance
[tex]v[/tex] is speed
[tex]t[/tex] is time
1. Let [tex]v_{w}[/tex] be the speed of the wind, [tex]t_{w}[/tex] be time of the westward trip, and [tex]t_{e}[/tex] the time of the eastward trip. We know from our problem that the distance between the cities is 2,400 miles, so [tex]d=2400[/tex]. We also know that the speed of the plane is 450 mi/hr, so [tex]v=450[/tex]. Now we can use our equation the relate the unknown quantities with the quantities that we know:
Going westward:
The plane is flying against the wind, so we need to subtract the speed of the wind form the speed of the plane:
[tex]d=vt[/tex]
[tex]2400=(450-v_{w})t_{w}[/tex]
Going eastward:
The plane is flying with the wind, so we need to add the speed of the wind to the speed of the plane:
[tex]d=vt[/tex]
[tex]2400=(450+v_{w})t_{e}[/tex]
We can conclude that you should complete the chart as follows:
Going westward -Distance: 2400 Rate:[tex]450-v_w[/tex] Time:[tex]t_w[/tex]
Going eastward -Distance: 2400 Rate:[tex]450+v_w[/tex] Time:[tex]t_e[/tex]
2. Notice that we already have to equations:
Going westward: [tex]2400=(450-v_{w})t_{w}[/tex] equation(1)
Going eastward: [tex]2400=(450+v_{w})t_{e}[/tex] equation (2)
Let [tex]t_{t}[/tex] be the time of the round trip. We know from our problem that the round trip takes 11 hours, so [tex]t_{t}=11[/tex], but we also know that the time round trip is the time of the westward trip plus the time of the eastward trip, so [tex]t_{t}=t_w+t_e [/tex]. Using this equation we can express [tex]t_w[/tex] in terms of [tex]t_e[/tex]:
[tex]t_{t}=t_w+t_e [/tex]
[tex]11=t_w+t_e[/tex] equation
[tex]t_w=11-t_e[/tex] equation (3)
Now, we can replace equation (3) in equation (1) to create a system of equations with two unknowns:
[tex]2400=(450-v_{w})t_{w}[/tex]
[tex]2400=(450-v_{w})(11-t_e)[/tex]
We can conclude that the system of equations that represent the situation if the round trip takes 11 hours is:
[tex]2400=(450-v_{w})(11-t_e)[/tex] equation (1)
[tex]2400=(450+v_{w})t_{e}[/tex] equation (2)
3. Lets solve our system of equations to find the speed of the wind:
[tex]2400=(450-v_{w})(11-t_e)[/tex] equation (1)
[tex]2400=(450+v_{w})t_{e}[/tex] equation (2)
Step 1. Solve for [tex]t_{e}[/tex] in equation (2)
[tex]2400=(450+v_{w})t_{e}[/tex]
[tex]t_{e}= \frac{2400}{450+v_{w}} [/tex] equation (3)
Step 2. Replace equation (3) in equation (1) and solve for [tex]v_w[/tex]:
[tex]2400=(450-v_{w})(11-t_e)[/tex]
[tex]2400=(450-v_{w})(11-\frac{2400}{450+v_{w}} )[/tex]
[tex]2400=(450-v_{w})( \frac{4950+11v_w-2400}{450+v_{w}} )[/tex]
[tex]2400=(450-v_{w})( \frac{255011v_w}{450+v_{w}} ) [/tex]
[tex]2400= \frac{1147500+4950v_w-2550v_w-11(v_w)^2}{450+v_{w}} [/tex]
[tex]2400(450+v_{w})=1147500+2400v_w-11(v_w)^2 [/tex]
[tex]1080000+2400v_w=1147500+2400v_w-11(v_w)^2[/tex]
[tex](11v_w)^2-67500=0[/tex]
[tex]11(v_w)^2=67500[/tex]
[tex](v_w)^2= \frac{67500}{11} [/tex]
[tex]v_w= \sqrt{\frac{67500}{11}} [/tex]
[tex]v_w=78[/tex]
We can conclude that the speed of the wind is 78 mi/hr.
The larger of two numbers is 10 more than three times the smaller number is larger number decreased by the smaller number is 80 what are the two numbers
Answers
Smaller number = x
Larger number = 3x+10
When you have those two equations down, you have another data section that tells you the value of the two numbers. In your case:
Larger number - Smaller number = 80.
Plugging in what we have:
(3x+10)-x=80
3x+10-x=80
2x+10=80
2x=70
2x/2=70/2
x=35...
Plugging back in for the larger number, since we found the smaller one:
3(35)+10=105+10=115
Your numbers are 115 and 35
Hope this helps.
5 . which of the following is NOT considered a low intensity cardiovascular activity ? ( 1point )
A . walking
b. bicycling
c. hiking
d. leisurely paced swimming,
Answers
Find the length of the second base of a trapzoid with one base measuring 12 feet a height of 4 feet and a area of 58 square feet
Answers
b1+b2 x h / 2 = 58
12+ b2 x 4 / 2 = 58
12+b2 x 4 = 116
12 + b2 = 29
b2 = 17 feet is the length of the second base
:p
A rectangle has a width of 3 cm and a length of 10 cm. What is the effect on the perimeter when the dimensions are multiplied by 10?
A) The perimeter is increased by a factor of 10.
B) The perimeter is increased by a factor of 40.
C) The perimeter is increased by a factor of 100.
D) The perimeter is increased by a factor of 400.
I think it's 'A'.. but would really appreciate if someone else double checked it cause I'm an idiot and exhausted and can't think.
Answers
A spinner has 8 equal sectors with different letters for each sector, as shown below: a spinner with 8 equal sectors is shown. the sectors are labeled b, y, g, p, o, v, m, and r. hamlet spins the spinner 13 times, and it stops at the letter r 9 times. if he spins the spinner a 14th time, what is the theoretical probability that this time it will stop at the letter r? 1 over 14 1 over 13 1 over 9 1 over 8 question 4(multiple choice worth 1 points)
Answers
Answer:
The theoretical probability of obtaining letter 'r' at the 14th spin is:
[tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
It is given that:
A spinner has 8 equal sectors with different letters for each sector.
The sectors are labeled b, y, g, p, o, v, m, and r.
Hamlet spins the spinner 13 times, and it stops at the letter r 9 times.
We are asked to find the theoretical probability that we will get letter r at the 14th spin.
The theoretical Probability is given as the ratio of number of favorable outcomes to the total number of outcomes.
Hence, the theoretical probability of obtaining letter 'r' at the 14th spin is:
[tex]\dfrac{1}{8}[/tex]
( As there are a total of 8 outcomes( or 8 sectors) out of which there is only one sector which is red)
Simplify (6x^2+11x-3) + (2x^2-17x-4)
Answers
36+11+4= 51, -17= 34x
-3+-4= -7
The simplified expression would be 34x+-7.
(This could be wrong though, I'm sorry if it is ^^)
Algebra 2!..!!!! please help
Answers
(x - 2)(x^2 + 9x + 10)
x^3 + 9x^2 + 10x - 2x^2 - 18x - 20
x^3 + 7x^2 - 8x - 20.
Since the product just found is not the original expression given, Jimmy is wrong.
I will complete the work on paper by synthetic division and post my answer.
After using synthetic division, the correct quotient is x^2 + 9x + 20.
Which number is written in scientific notation? A. 6x10^11 B. 12x10^-8 C. 0.2x10^5 D. 8x7^2
Answers
Answer:
A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Step-by-step explanation:
Identify the polynomial written in descending order. (1 point) 9 − 14x − 7x2+ x3 x3− 7x2− 14x + 9 −7x2+ 9 + x3− 14x −14x + x3+ 9 − 7x2
Answers
Answer:
Option 2.
Step-by-step explanation:
We need to find a polynomial which is written in descending order.
Polynomial written in descending order: If the terms are written in a manner such that the powers on the variables go from highest to lowest, then it is called polynomial in descending order.
In option 1, the given polynomial is
[tex]9-14x-7x^2+x^3[/tex]
In option 2, the given polynomial is
[tex]x^3-7x^2-14x+9[/tex]
In option 3, the given polynomial is
[tex]-7x^2+9+x^3-14x[/tex]
In option 3, the given polynomial is
[tex]-14x+x^3+9-7x^2[/tex]
Only in option 2, the terms are arranged in descending order of powers.
Therefore, the correct option is 2.
which choice shows three lengths cannot be the lengths of the three sides of a triangle
a. 2cm, 8cm, 8cm
b. 2cm, 3cm, 6cm
c. 4cm, 5cm, 7cm
d. 5cm, 6cm, 9cm
Answers
A does show the triangle length because both lines on the side has to equal the same but the bottom line is shorter so is 2 cm, 8 cm,. 8 cm
Answer:
the answer is b
Step-by-step explanation:
the sum of the 2 smallest sides must be greater than the 3rd side in order for it to be a triangle
but in B, the sum of the 2 smallest sides is less than the 3rd side
hope this helps!!!!!
Claire created a pie chart to show how she spent her time on Monday She spent 8 hours at school, 4 hours playing basketball, 2 hours doing homework, 8 hours sleeping, and 2 hours doing chores. Which statements describe how the pie chart will look? Check all that apply
Answers
The pie chart showing Claire's daily activities will have five sections representing school, basketball, homework, sleeping, and chores. Each section will portray the fraction of 24 hours that she spends on that activity. For example, School and Sleeping will both occupy 1/3 of the pie chart each.
Explanation:The subject in question is related to pie charts in Mathematics, specifically fractions and percentages. Claire has a total of 24 hours in the day and her activities are school for 8 hours, basketball for 4 hours, homework for 2 hours, sleep for 8 hours, and chores for 2 hours. In the pie chart, her spent time in a day can be shown as fractions of the total time, 24 hours.
For instance, Claire spent 8/24 or 1/3 of her time at school; the pie chart will show a section occupying 1/3 of the circle representing this. Similarly, she spent 4/24 or 1/6 of her time playing basketball, 2/24 or 1/12 of her time doing homework, 8/24 or 1/3 of her time sleeping, and 2/24 or 1/12 of her time doing chores. Each of these fractions will be a section on the pie chart. Hence, the chart will have five different sections, each representing a different activity.
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how much principle must be deposited to earn $1000 simple interest in 2 years at a rate of 1.3%? Round to the nearest cent. (use the simple interest formula and solve for P)
A:$35,405.21
B:$35,021.03
C:$38,461.54
D:$32,324.52
Answers
$38,461.54 must be deposited to earn $1000 in 2 years.
A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.
What is the area of the new photograph?
Enter your answer in the box.
Answers
Simplify (5y^6u^-7)*(5u^9v^-6)*(3v^5y)
Answers
Simplify the following expression:
[tex](5y^6u^{-7})(5u^9v^{-6})(3v^5y)[/tex]
First, multiply the terms
[tex]=(5y^6u^{-7})(5u^9v^{-6})(3v^5y)[/tex]
[tex]=(25y^6u^{2}v^{-6})(3v^5y)[/tex]
[tex]=(75y^7u^{2}v^{-1})[/tex]
Rearrange the negative exponent:
[tex]=(75y^7u^{2}v^{-1})[/tex]
[tex]= \frac{75y^7u^{2}}{v} [/tex]
Rearrange to follow the correct form:
[tex]= \frac{75u^{2}y^7}{v} [/tex]
This is the most you can simplify this expression:
[tex]\boxed{=\frac{75u^{2}y^7}{v} }[/tex]
I hope this helped!
-Benjamin
Write the definition of a function minmax that has five parameters. the first three parameters are integers. the last two are set by the function to the largest and smallest of the values of the first three parameters. the function does not return a value. the function can be used as follows: int a=31, b=5, c=19 big, small; minmax(a,b,c,&big,&small);
Answers
function minmax(int p1,int p2,int p3, int adr_big, int adr_small)
{ int mini=p1,maxi=p1;
if (p1>p2) {mini=p2;}
else {maxi=p2;};
if (p3>maxi) maxi=p3;
if (p3<mini) mini=p3;
*adr_big=maxi;
*adr_small=mini;
};
// main
int a=31,b=5,c=19,big,small;
minmax(a,b,c,&big,&small);
Answer:
void minMax(int a, int b, int c, int*big, int*small)
{
if(a>b && a >c){
*big = a;
if(b>c)
*small = c;
else
*small = b;
}
else if (b>a && b>c){
*big = b;
if(a>c)
*small = c;
else
*small = a;
}
else{
*big = c;
if(a>b)
*small = b;
else
*small = a;
}
}
Step-by-step explanation:
MPL
Raul, Chris, and Jerry together sold 88 tickets for the school banquet. Raul sold 30 tickets, and Chris sold 38 tickets. How many tickets did Jerry sell? 19 20 58 68 whoever answers first and is correct gets brainliest!!!
Answers
38+x=88-30
38+x=58
x=58-38
x=20
Answer:
your answer is B
Step-by-step explanation:
Darrin lives in Washington, D.C., which has a sales tax of 6%. He just bought a video camera whose full price was $620, but after sending in a rebate form, he later received a check in the mail for $95. What was the total amount that Darrin ended up paying after receiving the rebate? A.$562.20 B.$556.50 C.$525.00 D.$657.20
Answers
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Cost of video camera = $620
Rate of sales tax = 6%
Amount of sales tax is given by
[tex]\dfrac{6}{100}\times 620\\\\=\$37.2[/tex]
Total amount after sales tax is given by
[tex]\$620+\$37.2\\\\=\$657.20[/tex]
Amount of rebate = $95
So, final amount that Darrin ended up paying after receiving the rebate is given by
[tex]\$657.20-\$95\\\\=\$562.20[/tex]
Hence, option 'A' is correct.
Using 70 POINTS NEED YOUR HELP NOT SPAMMERS. To make an ice-cream cone, employees at an ice-cream shop completely fill the cone and then add one scoop of ice cream on top. The cone has a height of 6 inches and a diameter of 2 inches.
To the nearest cubic inch, how much ice cream is in the cone before the scoop is added on the top?
6 in³
19 in³
25 in³
75 in³
Answers
Answer:
6in^3
sorry this is late. but i put 19in^3 and got it wrong. the k12 test said the correct answer is 6in^3
if it isnt correct for you, im sorry
Which rule can be used to describe the growth of the y-values of the function y=12^x over each interval from x=-1 to x=3?
Answers
"Which rule ..." suggests you have some rules to choose from to describe the growth. Since you refer to "each interval from x=-1 to x=3", we assume your rule is concerned with more than one interval. With no further clues as to what you may be looking for, we can compute the factor by which the function grows from x=-1 to x=3.
The growth factor over that interval is the ratio of final value to initial value:
.. (12^3)/(12^-1) = 12^(3 -(-1)) = 12^4 = 20,736
Answer:
The rule "multiply by 12" describe the growth of the y-values of the function y=12^x over each interval from x=-1 to x=3.
Step-by-step explanation:
The given function is
[tex]y=12^x[/tex]
The initial value is 1 and the growth factor is 12.
It is an exponential function.
At x=-1
[tex]y=12^{-1}=\frac{1}{12}[/tex]
At x=0
[tex]y=12^{0}=12^{-1}\times 12=1[/tex]
At x=1
[tex]y=12^{1}=1 \times 12=12[/tex]
At x=2
[tex]y=12^{2}=12 \times 12=144[/tex]
At x=3
[tex]y=12^{3}=144 \times 12=1728[/tex]
Therefore the rule "multiply by 12" describe the growth of the y-values of the function y=12^x over each interval from x=-1 to x=3.
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and n - 2 = 2d - 4
5n = 3d and 2n - 4 = d - 2
3n = 5d and 2n - 4 = d - 2
Answers
The numerator of the fraction is "n" and the denominator of the fractions is "d". Initially the numerator and denominator are in the ratio 3 to 5. In equation form we can state this as:
[tex]n:d=3:5 \\ \\ \frac{n}{d}= \frac{3}{5} \\ \\ 5n=3d [/tex]
When both numerator and denominator are decreased by 2, the new numerator will be n-2 and denominator will be d-2. These numerator and denominators are in ratio 1 to 2. In equation form we can write this as:
[tex]n-2:d-2=1:2 \\ \\ \frac{n-2}{d-2} = \frac{1}{2} \\ \\ 2(n-2)=1(d-2) \\ \\ 2n-4=d-2 [/tex]
This is our second equation. Thus the two equation which can be used to solve the problem are:
5n = 3d
and
2n - 4 = d - 2
Answer:
A 5n=3d and n-2=2d-4
Step-by-step explanation:
If the radius of a circle is 10 feet, how long is the arc subtended by an angle measuring 81°?
A) π
B) 11π
C) 5π
D) 11/45π,
Answers
What is the equation of thr function y=6/x translated 5 units to the left and 4 units up
Answers
f(x) + a OR f(x) - a
Horizontal translation is done by adding number next to x variable for translation to left or substracting number for translation to right.
f(x+a) OR f(x-a)
We need to translate function 5 units to the left and 4 units up. That means that we need to add 5 next to x and add 4 to end of function. The result is:
[tex]f(x)= \frac{6}{x+5} +4[/tex]
Find the Value of X. If your answer is not an integer, express it in simplest radical form.
Answers
question 5
x = root (14 ^ 2 + 16 ^ 2)
x = root (452)
x = 2raiz (113)
question 6
x = root (8 ^ 2 + 15 ^ 2)
x = 17
question 7
x = root (12 ^ 2 + 12 ^ 2)
x = root (2 * (12 ^ 2))
x = 12raiz (2)
question 8
x = root (18 ^ 2 - 9 ^ 2)
x = root (243)
x = 9raiz (3)
Answer:
12raiz (2)
Step-by-step explanation:
HELP PLEASE!
A manufacturer uses a mold to make a part in the shape of a triangular prism The dimensions of this part are shown below.
which estimate is closest to the volume in cubic millimeters of the part
306
768
1,008
2,016
Answers
This answer may be wrong.. But I'm trying to make sure it's not!!
C. 1,008 :)
The Volume of the triangular prism is 124.74 cubic mm.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.
Given:
Base of the triangle (b) = 12.3 mm
Height of the triangle (h) = 8.2 mm
Length of the prism (l) = 20.5 mm
So, the volume of the triangular prism formula:
= 1/2 x b x h x l
= 1/2 x 14.4 x 2.1 x 8.25
= 7.2 x 2.1 x8.25
= 124.74 cubic mm.
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Can someone help fast? I will give 20 points. Thx
1. The Empire State Building in New York CIty is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire state Building? A) 727:12 B) 727:1 C: 12/727 D) 1:727
Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figure is not drawn to scale. A) JKML ~ PSRQ; 8:1.5 B) JKML ~ PQRS; 8:4.8 C) JKML ~ PQRS; 2.5:4.8 D) The polygons are not similar.
3. What similarity statement can you write relating the three triangles in the diagram? A) GHF ~ GIH ~ HIF B) HIF ~ GIH ~ GFH C) GFH ~ GHI ~ HIF D) GHF ~ IGH ~ HIF
4. What are the values of x and y? A) x=9/4, y=3/4 B) x=9/4, y=15/4 C) x=15/4, y=5/4 D) x=3/4, y=15/4
5. What is the value of x to the nearest tenth? The figure is not drawn to scale. A) x=15.7 B) x=4.4 C) x=13.9 D) x=1.9
6. Are the two triangles similar? How do you know? A) No B) Yes; by AA ~ C) Yes; by SAS ~ D) Yes; by SSS ~
7. What is the geometric mean of 6 and 13? A) 2_/13 B) 2_/26 C) _/78 D) 78
8. A salsa recipue uses green pepper, onion, and tomato in the extended ratio 3:7:11. How many cups of green pepper are needed to make 189 cups of salsa? A) 9 B) 27 C) 63 D) 99
9. What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale. A) 24 B) _/24 C) 143 D) _/143
10. What is the solution to the proportion? 6/11 = m/121 A) 66 B) 11 C) 1/66 D) 1 11. What is the value of x, given PQ || BC? A) 10 B) 5 C) 7 D) 8
Answers
Answer:This may not help but 1 is 1:727
2is they are not similar
Step-by-step explanation:
Fk
I need help fast due tomorrow!!!
Answers
The graph has one x-intercept:
No, the graph does not cut at the x-axis at all, there is no x-intercept.
The graph as a y-intercept at (5,0):
No, the y-intercept is at (0,5)
30 POINTS + BRAINLIEST! SHOW ALL WORK PLEASE
Answers
cos(2x - 7) = cos(2x)*cos(7) + sin(2x)*sin(7)
cos(2x - 7) = [cos^2(x) - sin^2(x)]*cos(7) + 2sin(X)*cos(x)*sin(7)
Somebody sure doesn't like you guys very much. A weak joke. I think the best you can do to start with is graph this relationship. The best I can do is get an answer that is somewhere around 145 degrees. - 61 degrees, - 214 degrees and 255 degrees.
If you are intended to solve this any other way by using the double angle formulas as I started to get above and sin(x) or cos(x) I would take the 0 and hope to make it up some other way.
The domain is between -360 and plus 360. The range is between +/- 1.
Answer
25
Explanation
sin (x + 22)° = cos (2x - 7)°
In trigonometry for any equation where sinθ = cosΦ, θ and Φ are complementary. That is they add up to 90°
sinθ = cosΦ ⇒ θ + Φ = 90
∴ sin (x + 22)° = cos (2x - 7)°
(x + 22) + (2x - 7) = 90
x + 22 + 2x - 7 =90
3x + 15 = 90
3x = 90 - 15
3x = 75
x = 25°
If f(x)=x2+2x+1 find f (-4)
Answers
It should look like this-- 2(-4)+2(-4)+1
So the answer should be -15
Answer:
Compare the algebraically expressed function f(x) = 1/4 x2 - 2x to the function shown in the graph to determine which statement is true.
D) The graphed function has a lower minimum value.
Step-by-step explanation: