In the right triangle shown, m

In The Right Triangle Shown, M

Answers

Answer 1

[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]

[tex] \sqrt{72} \tan(30) = x[/tex]

x equals about 4.9 rounded to the hundredths place.


Related Questions

Andy’s goal for the week is to run 19 miles. he ran 6.19 miles between monday and friday. he ran 3.1 miles on saturday. how many more miles should he run on sunday to meet his goal?

Answers

Answer:

9.71 miles

Step-by-step explanation:

total miles he ran = 6.19 + 3.1 = 9.29

Target = 19 miles

Goal for sunday = 19 - 9.29 = 9.71

19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?

Answers

Answer:

First we have the function f(x) = 27*x  - 67.5

It has an x-intercept at (a, 0)

This means that:

f(a) = 0 = 27*a - 67.5

Solving the above equation we can find the value of a.

0 = 27*a - 67.5

67.5 = 27*a

67.5/27 = a = 2.5

Now let's look at equation g(x).

It is a linear equation, remember that a linear equation can be written as:

g(x) = y = A*x + B

Where:

A is the slope, and B is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:

A = (y₂ - y₁)/(x₂ - x₁)

In this case we can select any two points from the table, for example, I will use the second and third points:

(1, 39) and (2, 32.5)

Then the slope is:

A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5

Then the equation is something like:

g(x) = y = -6.5*x + B

B is the y-intercept, to find this value, we can use one of the two points we used before.

For example, (1, 39) means that g(1) = 39

Then:

g(1) = -6.5*1 + B = 39

     = B = 39 + 6.5 = 45.5

Then the equation for g(x) is:

g(x) = -6.5*x + 45.5

Now, we know that g(x) has an x-intercept at (b, 0)

this means that:

g(b) = 0 = -6.5*b + 45.5

6.5*b = 45.5

b = 45.5/6.5 = 7

Then the difference between b and a is:

b - a = 7 - 2.5 = 4.5

b is equal to a plus 4.5

And the ratio is:

b/a = 7/2.5 = 2.8

b is 2,8 times larger than a.

20 POINTS

The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

Answers

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear

A. K=-3

B. K=1/3

C. K=1/2

D. K=2

E. K=3

F. K=-1/3

Answers

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]

[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]

The three points are W(0,-2), I(2,0) and L(5,k). So,

[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]

[tex]0+2(k+2)+5(-2)=0[/tex]

[tex]2k+4-10=0[/tex]

[tex]2k-6=0[/tex]

Adding 6 on both sides, we get

[tex]2k=6[/tex]

[tex]k=\dfrac{6}{2}[/tex]

[tex]k=3[/tex]

Therefore, the correct option is E.

The weight of 4 eggs is shown. Identify the constant of proportionality of total weight to number of
eggs.
The weight of 4 eggs is 188 g

Answers

Answer:

47g

Step-by-step explanation:

The number of boys and girls in a class are in the ratio 5:4. If the
number of boys is 9 more than the number of girls, then number of
boys is 9

Answers

Answer:

no.of boys is 45

Step-by-step explanation:

here, let the number of boys and girls be 5x and4x

ATQ,

5x=4x+9

or,5x-4x=9

or,x=9

then, the number of boys is 9×5=45

and the number of girls is 9×4=36..

Solve for x. please i need know

Answers

Answer:

x = 18

Step-by-step explanation:

Vertically opposite angles are equal.

x + x + x + 90 = 144

         3x + 90 = 144  

Subtract  90 from both sides

                 3x = 144 - 90

                 3x = 54

Divide both sides by 3

                   x = 54/3

x = 18

Rotate 90° clockwise about the origin

E = (-3, 3)

F = (-2, -1)

D = (-2, 3)

C = (-1, 4)

Answers

Answer:

e

Step-by-step explanation:

Help easy 5th grade Math

Answers

You are right congrats

Answer:

625 in3

Step-by-step explanation:

I cut the shape into two different shapes; square and rectangle

Square volume: 5 x 5 x 5= 125 in3

Rectangle volume: 20 x 5 x 5 = 500 in3

Total volume: 500 + 125 = 625 in3

Find the mean of the following numbers: 17, 17, 15, 16, 18

Answers

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches

Answers

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

It makis a right triangle

A carpet costs $5 per square meter
and underlay costs $3 per square
meter. A bedroom measures 7m by
8m. How much will it cost to carpet
and underlay the entire room?



Y’all help me

Answers

Answer:

448

Step-by-step explanation:

Graph each function. State the domain and range.

Answers

Answer:

Just put it in Geogebra classic. It's an app that helps very much with functions!

A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection

Answers

Answer:

27

Step-by-step explanation:

Let :

Number of 40¢ = x

Number of 22¢ = 4x + 3

Total stamp value = $8.34 = (8.34 * 100) = 834¢

40¢x + 22¢(4x + 3) = 834¢

40x + 88x + 66 = 834

128x = 834 - 66

128x = 768

x = 768 / 128

x = 6

Number of 22¢ stamp:

4(6) + 3 = 24 + 3 = 27

which value for s will make this equation true? s(11-s)=24

answer choices:
8
4
6
5

Answers

8 cause 88-64=24(you have to distribute)

In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.

Answers

Answer:52.1

Step-by-step explanation:

adj/hyp= x/57

cos 24=x/57

57 cos 24=x

x=52.0721= 52.1 FT

Someone answer this please

Answers

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?

Answers

formula 3.35 times something

1cm 8cm 4cm: surface area

Answers

Answer:

Perimeter of Triangle sum of all sides.

=13 cm

Answer:

heres ur answer good luck

https://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cube.aspx

Step-by-step explanation:

Simplify. 8*2 + 2




Please

Answers

Answer:

Step-by-step explanation:

8 exponent 2 + 2 = 64 + 2 = 66

Answer:

8^2+2

=8*8+2 [8^2=8*8]

=64+2

=66

Step-by-step explanation:

The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.

Copy and fill this table

Answers

To find a y term, find the absolute value of the x term (|x|).

Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).

Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.

Find the absolute value of each x term to find y:

x ⇒ y

-2 ⇒ 2

-1 ⇒ 1

0 ⇒ 0 (the absolute value of 0 is always 0)

1 ⇒ 1

2 ⇒ 2

I hope this helps!

Why do equivalent ratios form a straight line when graphed?

Answers

Answer:

The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edgen

Plz help me. Giving branliest

Answers

Answer: im not sure about this but I’ll try

24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles

Step-by-step explanation:

It is 2.04 and 3.71 now subtract it

Which statement is true?
Question 19 options:

A)

|–3| = 3 and –|–4| = –4

B)

|–3| = 3 and –|4| = 4

C)

–|3| = 3 and |4| = 4

D)

|–3| = 3 and |–4| = –4

Answers

Answer:

the first one is true and not sure 100% that the others are false all

can someone please help? :)

Answers

Answer:

The first step is to find the volume of the two hemispheres.

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.

Volume of sphere

[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]

[tex] = 2304\pi \: in^{3} [/tex]

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]

Volume of cylinder

[tex] = \pi( {12}^{2} )(24)[/tex]

[tex] = 3456\pi \: in^{3} [/tex]

Thus, volume of solid

[tex] = 3456\pi - 2304\pi[/tex]

[tex] = 1152\pi[/tex]

[tex] = 1152(3.14)[/tex]

[tex] = 3617.28 \: in^{3} [/tex]

Answer:

Solution :-

Volume of solid = Volume of Sphere - Volume of cylinder

Volume = 4/3πr³ - πr²h

Volume = 4/3 • π • 12³ - π • 12² • 24

Volume = 4/3 • π • 1728 - π • 144 • 24

Volume = 4 • π • 576 - π • 3456

Volume = π(3456 - 2304)

Volume = π(1152)

Volume = 3619.11 in³

[tex] \\ [/tex]

what would be the most appropriate domain for the functions

Answers

Answer:

Plz subscribe my Gaming channel Sameer Duos

Step-by-step explanation:

The correct answer is whole number

The answer would be whole numbers

1. A student has a rectangular block. It is 2 cm wide, 3 cm tall, and 25 cm long. It has a
mass of 600 g. Determine the density of the block to the nearest unit.
8.9

Answers

Answer:

20 gcm^3

Step-by-step explanation:

Density = mass / volume

Volume = 3 X 2 X 25 = 30 cm

600 / 30 = 20

not 100 % sure though

Hailey saved up $357.45 in her Piggy Bank. She decided that she wanted to use $97.99 to buy Roller skates and $50.00 to buy the Glow In the Dark flashing wheels. How much money will Hailey have leftover?

Answers

Answer:

209.46

Step-by-step explanation:

subtract $357.45, $97.99, and $50 and

you'll get $209.46

I need help with this question pls

Answers

Answer: the third one

Step-by-step explanation:

Can anyone help? PLS I NEED THIS BY TOMORROW!!

Answers

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

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