Answers
Answer:
a = 2.18 units
Step-by-step explanation:
[tex] \sin \: 33 \degree = \frac{a}{4} \\ 0.544639035 = \frac{a}{4} \\ a = 4 \times 0.544639035 \\ a = 2.17855614 \\ a = 2.18 \: units[/tex]
The sum of the angles in a triangle is always 180 degrees. This fundamental concept helps in calculating unknown angles in triangles.
Triangle Angle Sum Theorem: The sum of the angles in a triangle is always equal to 180 degrees.
Explanation: In any triangle, the three interior angles add up to 180 degrees. This theorem is fundamental in geometry and can be used to solve for unknown angles in triangles.
Example: If two angles in a triangle are 30 degrees and 60 degrees, the third angle can be found by subtracting the sum of the given angles from 180, which gives 90 degrees.
Related Questions
solve the inequality: 5x + 14 greater than or equal too 54
Answers
Answer:
5*8+14=54
Step-by-step explanation:
5*x+14= 54
so
54-14= 40
40/5=8
so x=8
5 seconds is what fraction of a minute?
Answers
Answer:
5 seconds is 1/12 of a minute
Step-by-step explanation:
60 seconds per minute so 5/60
5/60=1/12
5 seconds is 1/12 fraction of a minute.
Fraction is used to show the quantity of a part that makes up the whole number.
One minute is = 60seconds
Therefore 5 seconds= 5/60
= 1/12
This means that 1/12 of one minute is = 5 seconds.
Learn more about fraction here:
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Determine the slope
Y=7/1x+10
Answers
Step-by-step explanation:
at a currency exchange,11 U.S. dollars can be exchanged for 10Euros. How many Euros will you receive for 1 U.S. dollars?
Answers
Answer:
.92 euros
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
10:11 = 1:1.1
?:1
Euros = U.S Dollars - 0.10
0.90:1
a town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest whole number
Answers
Answer: P(t) = 5000(1.02)^5
Step-by-step explanation:
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
Answers
Answer:
V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2). What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
My answer:
Given that:
The oblique prism below has an isosceles right triangle base and the length of the base is x
=> the area of the base: 1/2 *x*x = 1/2[tex]x^{2}[/tex]
The vertical height of the prism is (x + 2)
=> The volume of the oblique prism is:
V = the base area * the vertical height
<=> V = 1/2[tex]x^{2}[/tex] (x + 2)
<=> V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]
We choose A
Answer:
A
Step-by-step explanation:
Which model shows
64
−
−
√
3
=4
643=4
?
Answers
In the equation √64 - 3 = 4, we first take the square root of 64 to get 8, then subtract 3 to get 5, NOT 4. Thus, the given equation is not accurate.
Explanation:The model to represent the mathematical expression √64 - 3 = 4 is firstly taking the square root of 64 which gives 8, and then subtracting 3 from it to get 4. The complete equation is as follows:
Take square root of 64 which is 8.Then subtract 3 from 8, which equals 5 NOT 4, meaning the given equation is incorrect.
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solve the inequality
|0.2x+6| <0.15
Answers
Answer:
- 30.75 < x < - 29.25
Step-by-step explanation:
Inequalities of the type | x | < a , always have solutions of the form
- a < x < a
Given
| 0.2x + 6 | < 0.15, then
- 0.15 < 0.2x + 6 < 0.15 ( subtract 6 from all 3 intervals )
- 6.15 < 0.2x < - 5.85 ( divide all intervals by 0.2 )
- 30.75 < x < - 29.25
To solve the inequality |0.2x+6| < 0.15, we split it into two separate inequalities and find that the solution for x is -30.75 < x < -29.25.
Explanation:To solve the inequality |0.2x+6| < 0.15, we first consider the absolute value function. This means we are looking for values of x that make 0.2x + 6 less than 0.15 and greater than -0.15. We split this into two separate inequalities:
0.2x + 6 < 0.150.2x + 6 > -0.15Solving the first inequality for x:
0.2x < 0.15 - 6
0.2x < -5.85
x < -5.85 / 0.2
x < -29.25
Solving the second inequality for x:
0.2x > -0.15 - 6
0.2x > -6.15
x > -6.15 / 0.2
x > -30.75
Therefore, combining the two inequalities, we find the solution for x is:
-30.75 < x < -29.25.
I NEED HELP, I NEED TO SHOW WORK
Answers
Answer: 9 over 12 is = 15 over x
Step-by-step explanation:
y=20
why?
just add 6 to each value to get the missing number. you get 6 by subtracting 15-9 since 9 isn’t a missing number in the first triangle.
Which expression is the as 400.902
Answers
Answer:
4*100+.9*0.1+.002*.001
Step-by-step explanation:
The student's question is unclear and lacks clarity. It is recommended that they provide more information or context so that an accurate explanation can be given.
Explanation:The question seems to be unclear. As a tutor, I would ask the student to clarify their question more specifically. The number '400.902' is indeed an expression, however, it's not clear what it's supposed to be equivalent to. Understanding the context can help provide a more accurate answer, as '400.902' could represent a multitude of things, such as a decimal, a fraction, a percentage or even part of a scientific notation. Without this information, I can't provide a reliable explanation or comparison.
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Which is an exponential decay function?
f(x) = 3/4(7/4)
f1x) = 2/3(4/5)*
f(x)= 3/3(8/7)
f(x) = 1/3(-9/2)
Answers
Answer: f(x) = 3/2 (8/7)-x
Step-by-step explanation:
What is the circumference of the base?
A)37.23
B)40.80
C)43.96
D)52.34
Answers
Answer:
43.96 or c
Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless
Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?
Answers
Answer:
54.74 ounces of tomatoes mark need.
Step-by-step explanation:
Given : Mark has three [tex]4\frac{1}{2}[/tex] oz cans and five [tex]8\frac{1}{4}[/tex] oz cans.
To find : How many ounces of tomatoes does Mark need?
Solution :
Mark has three [tex]4\frac{1}{2}[/tex] oz cans.
i.e. [tex]3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}[/tex]
Mark has five [tex]8\frac{1}{4}[/tex] oz cans.
i.e. [tex]5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}[/tex]
Total ounces of tomatoes does Mark need is
[tex]T=\frac{27}{2}+\frac{165}{4}[/tex]
[tex]T=\frac{54+165}{4}[/tex]
[tex]T=\frac{219}{4}[/tex]
[tex]T=54.75[/tex]
Therefore, 54.74 ounces of tomatoes mark need.
One cup is equal to 14.4375 in^3. If a 1-cup measuring cylinder has a radius of 3 in., what is its height? If
the radius is 1 in., what is its height? Round to the nearest tenth.
If the measuring cup has a radius of 3 in. then its height is
height is _____ in., and it it has a radius of 1 in. then it’s height is _____ in.
Answers
Answer:
The height of the cup is 0.51 in.
The height of the cup is 4.59 in.
Step-by-step explanation:
The volume of the cylinder is [tex]\pi r^2 h[/tex]
Given that,
The volume of the cup is 14.4375 in³.
If the measuring cup has a radius of 3 in.
Then,
[tex]\pi r^2h=14.4375[/tex]
Plug r= 3 in.
[tex]\pi (3)^2h=14.4375[/tex]
[tex]\Rightarrow h=\frac{14.475}{9\pi }[/tex]
⇒h=0.51 in.
The height of the cup is 0.51 in.
If it has radius of 1 in.
Then,
[tex]\pi r^2h=14.4375[/tex]
Plug r= 1 in.
[tex]\pi (1)^2h=14.4375[/tex]
[tex]\Rightarrow h=\frac{14.475}{1\pi }[/tex]
⇒h=4.59 in.
The height of the cup is 4.59 in.
When calculating total gross pay, you should ___
A) use only your hourly wage
B)use your hourly wage and tips
C) use only your tips
D) use your hourly wage and tips minus any deductions
Answers
Final answer:
To calculate total gross pay, sum the hourly wage and tips earned. This sum represents the entire earnings before any deductions such as tax or social security are taken into account. Thus, option b is correct.
Explanation:
When calculating total gross pay, you should use your hourly wage and tips. The gross pay represents the total amount earned before any deductions, such as taxes or social security, are subtracted. To find the total gross pay, simply add the total amount of earned hourly wage to the amount received from tips.
For instance, if an employee receives $15 per hour and works for 8 hours and also earns $40 in tips, their gross pay for that day would be:
Hourly wage: $15/hour x 8 hours = $120
Tips: $40
So, the total gross pay would be $120 + $40 = $160 for that day.
So, option b is correct.
do all quadratic equations have an axis of symmetry?
Answers
Answer:
Yes,Axis of Symmetry of a Parabola.The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a.
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
the diameter of a circle is 12 in. Find the circumference to the nearest tenth
please helppp
Answers
Answer:
37.68in
Step-by-step explanation:
circumference = 2πr
r= radius = diameter/2 = 12/2 =6 in
C= 2πr = 2 x 3.14 x 6= 37.68in
11) Solve the system by the elimination method. Check the solution.
x + 5y = 25
3x + 4y = 20
Answers
Step-by-step explanation:
I hope this is what you need
PLEASE MAKE ME BRAINLIEST
1 • 3x + 4y = 20
-3x -15y = -75
3x + 4y = 20
-11y = -50
divide both by -11y
which will equal y = 5
then you’ll do
x + 5(5) = 25
x + 25 = 25
subtract the 25’s
so x = 0
solve for x.
3x − 2(x + 3) = 5 − 2x
Answers
Answer:
3 2/3
Step-by-step explanation:
If a line is 10 feet long but needs to be enlarged 150%, how long will the new line be?
Answers
Answer:
23
Step-by-step explanation:
find 10 percent and times the rest
7. Given f(x) = x 3 (x +
5)2( 2 x-7)
a) What is the degree of this polynomial?
b) List the real zero's of f. Give the multiplicity of each zero.
c) Does the graph off touch or cross the x-axis at each zero?
d) Determine the 'end behavior' of this function. Find the monomial power function that the graph off
resembles for very large positive or negative values of x.
Answers
Answer:
a) 6.
b) 0 (multiplicity 3), -5 (multiplicity 2) and 7/2.
c) and (d) - See below.
Step-by-step explanation:
(a) f(x) = x^3(x + 5)^2 (2x - 7)
The highest degree of x (= x^3*x^2*x) = 3+2+1 = 6.
(b) The zeros are 0 ( from the x^3 = 0) multiplicity 3, from x + 5 = 0 we have -5 (multiplicity 2) and from 2x - 7 =0, 7/2.
(C) The graph just touches the x axis at (-5, 0) and pass through at (0,0) and (7/2, 0).
(d) The graph rises to the left for very large negative values of x and falls to the right at very large values of x.
At the extreme ends this graph resembles the graph of -x^3.
Where did Cailou come from?
Answers
Answer:
its canadian
Step-by-step explanation:
Which equations have the same value of x as 5/6x+2/3=-9? Select three options.
Answers
Answer:
A) 5x + 4 = -54
B) 6(5/6x + 2/3) = -9(6)
C) 5x = -58
Step-by-step explanation:
Answer:
a b c
Step-by-step explanation:
Twenty less than the product of 3 and a number is -29. What is the number?
Answers
The equation representing 'twenty less than the product of 3 and a number is -29' is 3n - 20 = -29. Solving for n, we find that n equals -3.
When solving the equation twenty less than the product of 3 and a number is -29, we can translate this into a mathematical expression as 3n - 20 = -29, where n represents the unknown number. To find the value of n, add 20 to both sides of the equation, which gives us 3n = -9. Dividing both sides by 3, we find that n = -3. Thus, the number we are looking for is -3.
X^2+(y+)4^2=64 khan academy
Answers
Answer: The center is 0,4
Step-by-step explanation:
Use this form to determine the center and radius of the circle:
(
x-h)^2+(y-k)^2=r^2
Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin:
r=8
h=0
k=4
The center of the cirle is found at (h,k): (0,4)
The radius is 8
The mean of 4 data values is calculated. One of the data values is 3 above
the mean. Another value is 4 above the mean. A third value is 1 above the
mean. What is true about the fourth data value? olla
A It is 8 below the mean.
B It is 6 below the mean.
C It is equal to the mean.
D It is 2 above the mean.
Answers
Answer:
It is 2 above the mean
9514 1404 393
Answer:
A. It is 8 below the mean
Step-by-step explanation:
The sum of differences from the mean is always zero. If x is the difference from the mean that the fourth data value has, then we must have ...
3 + 4 + 1 + x = 0
x = -8 . . . . . . . . . subtract 8
The fourth data value must be 8 below the mean.
_____
Additional comment
I find this property of the mean to be very useful in solving any number of problems related to differences from an actual or a desired mean.
0.4(5x – 12) + 0.5x = 15.2
Answers
Look at the attached picture ⤴
Hope it will help u..
0.4(5x-12)+0.5x=15.2
We move all terms to the left:
0.4(5x-12)+0.5x-(15.2)=0
We add all the numbers together, and all the variables
0.5x+0.4(5x-12)-15.2=0
We multiply parentheses
0.5x+2x-4.8-15.2=0
We add all the numbers together, and all the variables
2.5x-20=0
We move all terms containing x to the left, all other terms to the right
2.5x=20
x=20/2.5
x=8
When do you use the 1+ and 1-? in Exponential Functions
A.When there is a percent
B. All of the time
C. Never
Answers
Answer:
B. All of the time
Side A B is parallel to Side D E in the map below.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Answers
Given:
Given that the side AB is parallel to side DE.
The length of AB is 15 feet.
The length of BC is 9 feet.
The length of CD is 6 feet.
The length of DE is x feet.
We need to determine the proportion that solves the distance between D and E.
Proportion:
The proportion that solves the distance between D and E can be determined by the similar triangle property.
Thus, we have;
[tex]\frac{BC}{CD}=\frac{AB}{DE}[/tex]
Substituting the values, we have;
[tex]\frac{9}{6}=\frac{15}{x}[/tex]
Thus, the proportion that solves the distance between D and E is [tex]\frac{9}{6}=\frac{15}{x}[/tex]
Answer:the answer is c
Step-by-step explanation:
Asking easy questions so people can get points (answer must be right)
756 divided by 18 (show work)
Answers
42 goes into 756... 18 times which overall equals 42