ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2
Answers
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
[tex]s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2[/tex]
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
[tex]s \sqrt{2} [/tex]
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
Answer: The correct answer is 4
Step-by-step explanation:
Here is proof from the quiz
Related Questions
What is the trigonometric ratio for cosD ?
Enter your answer, as a simplified fraction.
Answers
in our case
cos D=21/75=7/25
10 POINTS + BRAINLIEST ANSWER!!
Given the right triangle PQR below, which of the following is equal to y/x?
A. cos P
B. cos Q
C. tan P
D. tan Q
Answers
p/s : follow me and I will help you more about maths
The value of tan P = y /x , Option C is the right answer.
What is a Right Angled Triangle ?A triangle in which one of the sides is 90 degree is called a Right angled Triangle.
A right angled Triangle is given in the question
The sides of the triangle is x and y
The trigonometric ratios are given and it has to be determined that x/ y represents which one of the given option.
The value of tan x = Perpendicular / Base
y/ x = Perpendicular / Base for angle P
Therefore , The value of tan P = y /x , Option C is the right answer.
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Kareem wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is
13 feet and its width is 12
feet. The wallpaper costs $8
for each square foot. How much will wallpaper cost for the wall?
Answers
The first step in solving this problem is to compute for the area of the rectangular wall. The formula in computing the area of a rectangle is:
A = LW
Substituting the given measurements in the problem to the formula:
A = 13 (12)
A = 156
Therefore, the area of the wall is 156 square feet. To compute the wallpaper cost of the wall, you have to multiply the cost per square foot to the total area.
$8 per square foot x 156 square feet = $1,248
Therefore, the wallpaper cost for the wall is $1,248
I don't understand how to do this one, any help??
Is it a.?
Answers
Can someone give me the answer to the question?
Answers
x = 49 cm^2/(10 cm)
x = 4.9 cm
Can there be a right triangle with side lenghts of 1,2,3
Answers
If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?
A. It has two complex solutions.
B. It has one real solution.
C. It has two real solutions.
Answers
List the angles of triangle DEF in order from smallest to largest measure if DE = 7, EF = 9, and DF = 3.
∠D, ∠E, ∠F
∠E, ∠F, ∠D
∠F, ∠E, ∠D
∠D, ∠F, ∠E
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∠D is opposite side EF. ∠E is opposite side DF. ∠F is opposite side DE. The sides that are the smallest correspond with the smallest angles, and the sides that are the largest correspond with the largest angles.
First, you should draw a picture of triangle DEF and label all of the sides. Then, you will have an idea of what the triangle looks like and the relative size of the angles.
You can also look at the side opposite of the angle. The larger the opposite side, the larger the angle.
Quadrilateral ABCD is inscribed in circle O.
What is m∠B ?
Enter your answer in the box.
Answers
The measure of angle B is 125 degrees in the given quadrilateral inscribed in circle O.
In a quadrilateral inscribed in a circle, opposite angles are supplementary.
Therefore, we can set up the equation:
∠A + ∠C = 180 degrees
Substituting the given values:
(2x-7) + (x+4) = 180
Combining like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can find ∠B:
∠B = 2x + 3
∠B = 2(61) + 3
∠B = 122 + 3
∠B = 125
Therefore, m∠B is equal to 125 degrees.
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21/80 as a percentage
Answers
To get a percentage from a decimal, move the decimal point to the right 2 place values
0.2625 becomes 26.25%
26.25% is your answer
hope this helps
Subtract the linear expression: (8x + 5) - (2x- 4)
Answers
Solve: 6x+1 if I’m correct.
Please help I don’t understand it
Answers
g= number of grasshoppers= twice number of crickets= 2c
T= total number of both= 561
If you add the number of crickets and the number if grasshoppers, you'll get a total of 561.
c + g= T
c + g= 561
Now we also know that grasshoppers are 2c (twice the crickets). Substitute 2c for g in the equation to solve for c.
c + g= 561
c + 2c= 561
combine like terms
3c= 561
divide both sides by 3
c= 187 crickets
Substitute number of crickets back in equation to find g.
c + g= 561
187 + g= 561
subtract 187 from both sides
g= 374 grasshoppers
CHECK:
Since grasshoppers are twice the number of crickets, then multiplying the number of crickets by two should equal the number of grasshoppers.
187 * 2= 374
374= 374
ANSWER: 187 crickets and 374 grasshoppers
Hope this helps! :)
Wally buys nine books that coast $19.50 apiece. How much does Wally spend?
Answers
To solve this problem, we need to multiply the cost of each book by the amount of books Wally bought.
$19.50 × 9 = $175.50
So, the total amount payed was $175.50.
Hope this helps!
How much more interest is owed on $900 for 9 months then for 6 months? 6 months = 2.4% rate 9 months = 2.9% rate
Answers
[tex]\bf ~~~~~~ \textit{Simple Interest Earned on 9 months}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$900\\ r=rate\to 2.9\%\to \frac{2.9}{100}\to &0.029\\ t=years\to \frac{9}{12}\to &\frac{3}{4} \end{cases} \\\\\\ I=900(0.029)\left( \frac{3}{4} \right)\\\\ -------------------------------[/tex]
[tex]\bf ~~~~~~ \textit{Simple Interest Earned on 6 months}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$900\\ r=rate\to 2.4\%\to \frac{2.4}{100}\to &0.024\\ t=years\to \frac{6}{12}\to &\frac{1}{2} \end{cases} \\\\\\ I=900(0.024)\left( \frac{1}{2}\right)[/tex]
check their difference, that much.
The interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, The rate of interest is in percentage r% and is to be written as r/100
To determine interest on the amount of $900 for 9 months
Here P = $900, R = 2.9% = 2.9/100, and T = 9/12 year
Interest = P × R × T
Interest = 900 × 2.9/100 × 9/12
Interest = $19.57
To determine interest on the amount of $900 for 6 months
Here P = $900, R = 2.4% = 2.4/100, and T = 6/12 year
Interest = P × R × T
Interest = 900 × 2.4/100 × 6/12
Interest = $10.80
The difference of interest is owed on $900 for 9 months then for 6 months: $19.57 - $10.80 = $8.77
Therefore, the interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
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What is the value of x
Answers
Answer A x=5 since
x/(x+5)=(x-2)/(x+1)==>x²+x=x²-2x+6x-10==>2x=10==>x=5
The real part of the complex number –5 + 3i is
Answers
Real part of the complex number [tex]-5 + 3i[/tex] is -5.
What is complex number?" Complex numbers are such numbers which expressed in form of [tex]a+ i b[/tex], where 'a' represents the real part and b represents the imaginary part containing [tex]i[/tex] . Value of [tex]i = \sqrt{-1}[/tex]."
According to the question,
Given complex number,
[tex]-5 + 3i[/tex]
Compare it with general form of complex number [tex]a+ i b[/tex] we get,
Real value of( [tex]-5+ 3i[/tex]) = -5
Imaginary value of [tex]-5+ 3i[/tex] = 3
Hence, real part of the complex number [tex]-5 + 3i[/tex] is -5.
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Answer to question 3
Answers
Calculate.
0 = x² + 10x + 16
Enter your answers in the boxes.
Answers
You can get this by factoring the polynomial and solving for x or by using the quadratic formula.
The single equivalent discount rate of 9/5/4 is .17008. True or False?
Answers
HELP PLEASE!!?!
5. The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 18 hours. Round your answer to the nearest thousandth.,
Answers
https://brainly.com/question/1800343#:~:text=5.%20D)%20y%3D790(1/2)%5E1/78x%3B%20673.233%20kg
What number is 32% of 75?
Which of the following equations could be used to solve the problem?
n = 0.32(75)
0.32n = 75
n = 75 ÷ 0.32
This is just a reassurance question It's
n = 75 ÷ 0.32 Right?,
Answers
Explanation:
A percentage is a value out of 100
32% of 75
32/100*75/1
32/100*75/1 Cancel and Simplify.
8/1*3/1
Answer = 24
2: The following equation used to solved the problem is:
(A): N = 0.32(75)
Hope this helps.
solve the system by either elimination or substitution
3x-5y=21
2x+y=1
A.2,-3
B.2,3
C.-2,-1
D.-2,1
My guess is c
Answers
The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $225. Solve the equation 9(e + 5) = 225 to find the cost e of the entrance fee for each student. Question options: A) $25 B)$14 C) $45 D) $20
Answers
Answer:
The Answer to this question is $20
Step-by-step explanation:
9 x 5 = $45
225 - 45 =180
180/9 =20
Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .
Triangle FGH has vertices at F(1, 1) , G(10, 1) , and H(6, 5) .
Which sequence of transformations shows that triangle ABC and triangle FGH are congruent?
Select each correct answer.
A Translate triangle FGH down 6 units, and then translate triangle FGH left 3 units.
B Translate triangle FGH up 6 units, and then translate triangle FGH right 3 units.
C Translate triangle ABC up 6 units, and then translate triangle ABC right 3 units.
D Translate triangle ABC down 6 units, and then translate triangle ABC left 3 units.
The coordinates of the vertices of triangle XYZ are given in the table.
X Y Z
(0, −6) (−10, 4) (3, −1)
Triangle XYZ is reflected across the y-axis.
What are the vertices of triangle X′Y′Z′ ?
Enter your answers in the boxes.
X′ : (
,
)
Y′ : (
,
)
Z′ : (
,
)
The coordinates of the vertices of triangle XYZ are given in the table.
X Y Z
(0, −6) (−10, 4) (3, −1)
Triangle XYZ is reflected across the y-axis.
What are the vertices of triangle X′Y′Z′ ?
Enter your answers in the boxes.
X′ : (
,
)
Y′ : (
,
)
Z′ : (
,
) The coordinates of the vertices of triangle XYZ are given in the table.
X Y Z
(0, −6) (−10, 4) (3, −1)
Triangle XYZ is reflected across the y-axis.
What are the vertices of triangle X′Y′Z′ ?
Enter your answers in the boxes.
X′ : (
,
)
Y′ : (
,
)
Z′ : (
,
)
Answers
2) Reflecting (x, y) across the y-axis changes it to (-x, y).
.. X' = (0, -6) . . . . . the point maps to itself. It is on the line of reflection.
.. Y' = (10, 4)
.. Z' = (-3, -1)
Please show work! Thank you
Answers
Factored Form is (x+4)(x+2)
Expanded Form is x^2+6x+8
----------------------------------------------------------
----------------------------------------------------------
Explanation:
The factored form is simply a matter of reading off the values from the given image. There isn't much work to show here.
Along the left side we have x and 4 so x+4 is one of the factors. Along the bottom we have x and 2, so x+2 is another factor
The two factors are (x+4) and (x+2) so that's why the factored form is (x+4)(x+2)
-------------------------------
Let's expand out the factored form
The overall rectangle is broken up into four parts. I'll label the four smaller rectangles as...
Rectangle A in the upper left corner (this rectangle is x by x)
Rectangle B in the upper right corner (this rectangle is 2 by x)
Rectangle C in the lower left corner (this rectangle is x by 4)
Rectangle D in the lower right corner (this rectangle is 2 by 4)
The idea is that adding the areas of rectangles A through D leads us to the overall area for this largest rectangle.
Area of Rectangle A = (length)*(width) = x*x = x^2
Area of Rectangle B = (length)*(width) = 2*x = 2x
Area of Rectangle C = (length)*(width) = x*4 = 4x
Area of Rectangle D = (length)*(width) = 2*4 = 8
Notice we have the like terms 2x and 4x (areas of rectangle C and D respectively). They combine to 2x+4x = 6x
So after adding all the individual areas and combining like terms, we arrive at the fully expanded form of x^2+6x+8
One day a store sold 29 sweatshirts. White ones cost $10.95 and yellow ones cost $ 13.50. In all, $353.25 worth of sweatshirts were sold. How many of each color were sold?
Answers
The function y = 41 ? 0.95x models the difference (in minutes) between men's and women's finishing times for the boston marathon. the number of years since women first officially ran the race in 1972 is represented by x.
a. does the exponential function represent growth or decay?
b. estimate the difference between finishing times in 1990.
c. predict the difference between finishing times in 2005.
Answers
[tex]y=41* 0.95^{x} [/tex]
a. Does the exponential function represent growth or decay?
To find out if this is growth or decay we need to observe number that is connected with x. If number is less than 1 we have decay and if it is greaer than 1 we have growth.
In our case we have number 0.95 which is less than 1 so we have decay.
b. Estimate the difference between finishing times in 1990.
x represents the number of years since 1972.
[tex]x=1990-1972=18[/tex]
Now we insert this number into equation to get solution.
[tex]y=41* 0.95^{18} = 16.29[/tex]
c. Predict the difference between finishing times in 2005.
[tex]x=2005-1972=33[/tex]
[tex]y=41* 0.95^{33} = 7.55[/tex]
What is the area of this figure?
Enter your answer in the box.
units²
Answers
Area of rectangle = 4 x 7 = 28
Area of bottom triangle = 1/2(7)(2) = 7
Area of figure = 7+ 28 + 7 = 42
answer
42 units²
Answer:
The answer to this is 42 units²
Step-by-step explanation:
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Which statement or statements are TRUE?
I. The data distribution is skewed
II. The interquartile range is 6
III. The median is 10
A) I only
B) II only
C) I and II only
D) II and III only
Answers
The median (middle) isn't 10, it's 8
The interquartile range (IQR) is 7 not 6 because you have to subtract the first and third quartile 13 - 6 = 7 not 6
Hope this helps! ;)
I think the answer is A
An instructional video is 4.2 minutes long. How long is the video in seconds? How long is it in hours?