Mathematics High School

Instructions: Find the measure of the indicated angle to the
nearest degree

Answers

Answer 1

Answer:

The required indicated angle is: 36°

Step-by-step explanation:

Given triangle is a right-angled triangle so we can use trigonometric ratios to find the indicated angle.

In the given triangle,

Hypotenuse = 32

Base = 26

As we know only base and hypotenuse, we will use a trigonometric ratio which involves base an hypotenuse.

Let x be the angle

then

[tex]cos\ x = \frac{base}{hypotenuse}\\cos\ x = \frac{26}{32}\\cos\ x = 0.8125\\x = cos^{-1}\ (0.8125)\\x = 35.65[/tex]

Rounding off to nearest degree, the angle is: 36°

Hence,

The required indicated angle is: 36°

Related Questions

identify the y intercept of g(x)=5x

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 0 .

Step-by-step explanation:

hope this helps

What is the y-intercept of y = -3x

Answers

Answer:

X=0

Step-by-step explanation:

porfaovr ayuda!!!!muchas gracias porfis

Answers

Answer:

I wish i could help, but i dont understand spanish

Step-by-step explanation:

This makes me sad that I’m not bilingual so I can’t help

The function f(t)=-16t^2+10

Answers

Answer:

f=−16t^2+10

Mark me brainllest :)

What are the slope and the y-intercept of the linear function shown on on the graph below?

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the shorter leg of a right triangle is 5cm shorter than the longer leg. the hypotenuse is 5cm longer than the longer leg. find the side lengths of the triangle

Answers

I think she gave an great explanation and I also this she is correct

A school psychologist at a large high school took a random sample of 16 students and asked how much sleep they get on a typical weekend night. The sample data were roughly symmetric with a mean of 8.75 hours and a standard deviation of 1.5 hours

Answers

Answer:

8.75 +/- 0.657

Step-by-step explanation:

The 90% confidence interval for the mean amount of sleep this population of students gets on a typical weekend night is 8.75±0.617

What is confidence interval?

A confidence interval is a range around a measurement that conveys how precise the measurement is.

Given that, The sample data were roughly symmetric with a mean of 8.75 hours and a standard deviation of 1.5 hours, the confidence level value is 90%

confidence interval = x ± z·s/√n

= 8.75±1.645·1.5/√16

= 8.75±0.617

Hence, the 90% confidence interval for the mean amount of sleep this population of students gets on a typical weekend night is 8.75±0.617

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What is the equation of the line in standard form?
x−6y=−9
3x−y=−6
x + 6y = 9
3x + y = 6

Answers

Here is my answer for you:

Graph each equation, until you find the one that lines up.

Below is a picture of all the equations on a graph.

Your answer is already in standard form, x-6y=-9.

Answer:

x−6y=−9

Step-by-step explanation:

Help? I'll mark brainliest

Answers

Answer:

x=6 y=3

Step-by-step explanation:

x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6

4. (02.06 MC)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer: See explanation

Step-by-step explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

Which is the most reasonable estimate for 30% of 72?
07
O 14
21
о
28

Answers

Answer:

Step-by-step explanation:

Of means multiply and since we want an estimate we can round 72 to 70

30% * 70

.30 * 70

Write the slope- intercept form of the equation of the line through given points.

Answers

i think the slope is y=-5x+8 :)

Answer:

[tex]\boxed{\sf{y=-5x+8}}[/tex]

Step-by-step explanation:

You can solve this problem using the slope formula and slope-intercept formula.

Slope formula:

[tex]\Longrightarrow: \sf{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

Slope-intercept formula:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

M: represents the slope.B: represents the y-intercept.

(1,3) and (2,-2)

y2=(-2)

y1=3

x2=2

x1=1

Rewrite the problem.

[tex]\sf{\dfrac{-2-3}{2-1}=\dfrac{-5}{1}=-5 }[/tex]

The slope is -5.

y-intercept is 8.

Rewrite the problem.

y=-5x+8

Therefore, the correct answer is y=-5x+8.

I hope this helps you! Let me know if my answer is wrong or not.

Which statements regarding the diagram Triangle EBC are true? Select three options
•Angle BEC is an exterior angle
•Angle DEC is an exterior angle
•Angle ABE and EBC are supplementary angles
•Angle BCF and DEC are supplementary angles
•Angle BEC us a remote interior angle to exterior angle BCF

Answers

Triangle EBC have interior angles and exterior angles. The three appropriate options to the given question are:

B. Angle DEC is an exterior angle

C. Angle ABE and EBC are supplementary angles

E. Angle BEC is a remote interior angle to exterior angle BCF

An exterior angle is one that lies outside a given figure. Thus, it is not an interior angle of the figure. While an interior angle is an angle within the boundaries of the figure.

Supplementary angles are two or more angles whose measures add up to the value of angle on a straight line (i.e [tex]180^{o}[/tex]).

Thus considering the given triangle EBC, the appropriate options to the question are:

B. Angle DEC is an exterior angle

C. Angle ABE and EBC are supplementary angles

E. Angle BEC is a remote interior angle to exterior angle BCF

These three options best describes the relationships among the angles of the triangle.

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Answer:

bce

Step-by-step explanation:

took the test

What is volume of thi shown below?

Answers

Answer:

13613.46 cm^3

Step-by-step explanation:

Height of the conical top= 25 cm

Diameter of the conical top = 20 cm

Radius of the conical top = 10 cm

[tex]We\ know\ that,\\Volume\ of\ a\ cone\ = \frac{1}{3}\pi r^2h\\Hence,\\Volume\ of\ the\ conical\ top\ = \frac{1}{3}\pi 10^2*25 = \frac{1}{3} \pi 100*25\\= 833.3\pi\ cm^3[/tex]

Height of the cylindrical base = 35 cm

Diameter of the cylindrical base = 20 cm

Radius of the cylindrical base = 10 cm

[tex]We\ know\ that\ ,\\Volume\ of\ a\ cylinder\ = \pi r^2h\\Hence,\\Volume\ of\ the\ cylindrical\ base = \pi* 10*10*35\\=3500\pi\ cm^3[/tex]

[tex]Hence,\\Volume\ of\ the\ given\ figure\ = Volume\ of\ the\ conical\ top\ + Volume\ of\ the\ cylindrical\ base\ \\Hence,\\Volume\ of\ the\ given\ figure\ =833.3\pi +3500\pi \\=(3500+833.3)\pi \\=4333.3\pi \\=13613.46 cm^3[/tex]

Answer:

13,614cm³

Explanation:

There are 2 solid shapes in the object;

A cylinder and A cone

Volume of the cylinder = πr²h

Volume of the cone is 1/3πr³h

h of cone = 25cm

h of cylinder = 35cm

d of the cylinder and cone = 20cm

r = d/2 = 10cm

Volume of the cylinder = πr²h

= π(10)²×35 = 10,996cm³

Volume of the cone = 1/3πr²h

= 1/3π(10)²×25 = 2618cm³

Therefore the total volume of the object above =

Volume of the cylinder + Volume of the cone =

10,996cm³ + 2618cm³ = 13,614cm³

What is the answer to 4x+y=10

Answers

Answer:

y = -4x + 10

Step-by-step explanation:

I am going to assume you are trying to write the equation of a line.

4x + y = 10

4x - 4x + y = 10 - 4x

y = -4x + 10

This one I can’t figure out! It has fractions too..

Answers

Answer:

3x+ 5 1/3

Step-by-step explanation:

Answer:

it is 3x + 16/3

Step-by-step explanation:

distribute the 3 to x and 1 then add three to 2 and 1/3.

What is the constant of proportionality, y/x?

Answers

Answer:

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9

Which statement is true about the solution to the set of equations?

Answers:

It is (18,9).

It is (9, 18).

There are infinitely many solutions.

There is no solution.

Answers

There are infinitely many solutions because the equations equal each other. The equation for line R is double the equation for line M; therefore, they are the same. If you graph it the line would be the exact same.

678x7689 what would be that answer

Answers

Answer:

5213142

Step-by-step explanation:

Answer:

5213142

Step-by-step explanation:

my best guess for u

Helppppppppppppp pleaseee

Answers

Answer:

Step-by-step explanation:

you get a extra 2 because there is 1/4 left over x 8

what is the slope of x+y=-4?

Answers

Answer:

the slope is 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Identify the name for the 12 and 4 in the expression. 12x + 4y - 5
A.variables
B.terms
C.coefficients
D.constants

Answers

A:variables because a variable is a symbol for a number you don’t know yet

[tex]1 \div \frac{1}{2} \div \frac{1}{3} [/tex]

Answers

Answer:

Step-by-step explanation:

Find the coordinates of the vertices for T23.-2-(QRST).
y
Q
S
R
Q-
RE
SE
TE

Answers

t) -2,1
q) 1,3
s)0,-2
r)3,-3

You are analyzing survey results regarding whether or not people like low-cal buter or regular butter. 47 said they preferred low-cal and 59 said they preferred regular. What is the ratio of those who prefer the low-cal to those who prefer the regular?

Answers

Answer:

47:59

Step-by-step explanation:

what is the answer for 12*12 ?

Answers

Answer:

144

Step-by-step explanation:

Hope this helps! God bless you!

What method can be used to prove the triangles below are congruent

Answers

Answer: AAS

Step-by-step explanation:

The congruent sides and angles form AAS. the triangles are congruent by the AAS theorem.

By AAS property Triangles are congruent, option B is correct.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given triangles ABC and CDE,

∠A=∠E and side AB = DE

By vertically opposite angle property,

∠ACB = ∠DCE

Therefore, in triangles ABC and CDE, two angles are equal, and one side is equal.

By Angle-Angle-Side property, both the triangles are congruent.

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I need it by tonight please. Explain a little too

Answers

it’s A
because for slope you find it by y2-y1/x2-x1 and in this case we only have one y and one x so we can assume we’re supposed to do y/x in this case: 14/-32 which simplies to -7/16

The other person sounds really smart lol... trust them.

simplify (5+2i)(1-3i)

Answers

Answer:

5-15i+2i-6(i^2)

-6(i^2)-13i+5

what is the slope of the line (please help quick)

Answers

The slope is 1/2 the line goes up o e and then over two rise over run

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Instructions: Find the measure of the indicated angle to the nearest degree

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Instructions: Find the measure of the indicated angle to the
nearest degree