Find the length of the hypotenuse​

Answer:

[tex] 208.5 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.

[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]

Answer:

m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

Answer:

x = 19°

Step-by-step explanation:

We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.

=> ∠UTV ≅ ∠RTS

=> ∠UTV = 85°

=> ∠RTS = 85°

Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;

∠R + ∠T + ∠S = 180°

(3x) + (85°) + (2x) = 180°

5x + 85° = 180°

5x = 180° - 85°

5x = 95

x = 95/5

x = 19°

Hence, there is you're answer! x = 19°

Hope this helps!

Answer:

Step-by-step explanation:

a. Find the unit rate, or how many miles they traveled in one hour, by dividing:

[tex]\frac{392}{7}=56 mph[/tex]

b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:

[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:

56x = 728 so

13 hours.

Now use the d = rt equation:

728 = 56t so

t = 13 hours

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]

The mean of set of a is:

[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]

[tex]Mean=\dfrac{564}{4}[/tex]

[tex]Mean=141[/tex]

The mean of set of b is:

[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

It is given that,

Mean of set a: mean of set b= 3:8

[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]

[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]

[tex]8\times 705=3\times (1453+x)[/tex]

[tex]5640=4359 +3x[/tex]

Isolate the variable x.

[tex]5640-4359 =3x[/tex]

[tex]1281 =3x[/tex]

Divide both sides by 3.

[tex]\dfrac{1281}{3} =x[/tex]

[tex]427 =x[/tex]

Therefore, the value of x is 427.

Answer:

13 ug

Step-by-step explanation:

Victoria is designing an image to be projected onto a screen. Her design is shown

below.

Victoria's Design

What is the total area, in square centimeters,

of Victoria's design?

8 cm

4 cm

4 cm

4 cm

10 cm

14 cm

146 centimeters squared

188 centimeters squared

118 centimeters squared

Answer: 125

Step-by-step explanation: 5•5•5

Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Answer:

a. (-4,8)

Step-by-step explanation:

the two lines intersect at this point

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

Answer:

5^13

Step-by-step explanation:

5^8 = 390625

5^5= 3125

Since you have to write you answer as a power you would do 5^8+5^5= 5^13

Answer:

CORRECT STATEMENTS:

Step-by-step explanation:

Answer:

A: mArc M N + 150 = 180

Step-by-step explanation:

on edge2021!! hope this helps!!~

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Answer:

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

g^2+g^2=24^2

2g^2=576

g^2=576/2

g^2=288

g=[tex]\sqrt{288}[/tex]

g=12[tex]\sqrt{2}[/tex]

Answer:

x+10+88=180

x. =180-98

x. =82

Answer:

18 is the answer

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Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

Answer:

Reduction

Step-by-step explanation:

The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

Answer: 28/53

Step-by-step explanation:

trust me bro

The ratio that represents the sine of ∠B is 15/17.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that  ∠D=90°,

BD is the adjacent side and CB  is the hypotenuse side, DC is the opposite side

Hence ,Sin B = 15/17

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

5749.3 cubic feet

Step-by-step explanation:

The volume of the  storage container would be defined by the volume of the shape; a hemisphere

The volume V of  a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

= 5749.333333

To the nearest tenth

= 5749.3 cubic feet

Answer:

x = 16

Step-by-step explanation:

We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:

(Angle 1) + (Angle 2) = 180°

(8x - 10) + (62) = 180°

8x + 52 = 180

8x = 180 - 52

8x = 128

x = 16

Therefore, x = 16

Hope this helps!

Answer:

72.5

Step-by-step explanation:

Angle X is congruent to 35

both angles y and angle x together form a line that equals 180

so for angles y, take 180 - 35 = 145

Angles y is 145/2