The measures of the angles of a triangle are shown in the figure below. Solve for x.
54°

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

Answer:

m+5=7

Step-by-step explanation:

Answer:

x≤11

Step-by-step explanation:

x+5<17, I can subtract 5 on both sides so

x+5<17

 -5  -5

x<12

that's wrong though because my x needs to make my answer less than x to make the statement true since we're looking for a value that is less than 17 not less than or equal to 17. So in conclusion, if x≤11 ( if x is less than or equal to 11), my statement will be true because 11+5<17=16<17, which is true. Even 10 or less is fine because it will still be smaller than 17 and that will keep my statement balanced.

Answer:

D

Step-by-step explanation:

The statement that is also true is: [tex]\triangle QRS \cong \triangle YZX[/tex]

The congruence statement is given as:

[tex]\triangle QSR \cong \triangle YXZ[/tex]

The above statement means that, we have the following corresponding points

The above highlights mean that:

Triangle QSR corresponds to triangle YXZ

It also means that:

Triangle QRS corresponds to triangle YZX

Hence, the correct congruency statement is: [tex]\triangle QRS \cong \triangle YZX[/tex]

Read more about congruent triangles at:

https://brainly.com/question/1675117

Answer:

90

First, divide: 75/25=3

Last 3x 30= 90

or

  30

x 3

--------

90

Answer:

its actually d

Step-by-step explanation:

it compares height to time

Answer:

6%

Step-by-step explanation:

8,500(x) = 510

x = 510/8,500

x = 0.06

x = 6%

Answer:

13units

Step-by-step explanation:

Using the distance formula;

D = √(x2-x1)²+(y2-y1)²

Distance from home to the soccer field is expressed as;

Home (0,0) and soccer field (-4,3)

D =√(3-0)²+(-4-0)²

D =√3²+4²

D =√9+16

D = √25

D = 5

Distance from  soccer field to library is expressed as;

Library (4,3) and soccer field (-4,3)

D =√(-4-4)²+(3-3)²

D =√(-8)²+0²

D =√64

D = 8

Hence the total distance = 5 + 8 = 13units

[tex]3) \: y = \frac{ - 8}{2} ; \: y = - 4[/tex] ✅

Step-by-step explanation:

[tex]2 \: y = - 8 \\ ⇢  y = \frac{ - 8}{2} \\ ⇢ y = - 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

what ever sides are multiply the points by 2 each (x time 2, y times 2) Best I got. Hope this helps some

Step-by-step explanation:

figure out the sides then:

Ex. Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Since this is the area x 2, multiply 84x2

Answer:

Step-by-step explanation:

Answer:

1/1.27

Step-by-step explanation:

Answer:

B 10.8 or

A 9.2 depending on what side of the triangle is "x".

Step-by-step explanation:

we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).

but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).

then by using Pythagoras

c² = a² + b²

=>

x² = 10² + 4² = 116

x = sqrt(116) = 10.8

but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.

for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this

10² = x² + 4²

x² = 10² - 4² = 84

x = sqrt(84) = 9.2 (and answer A would be correct).

or if the Hypotenuse is the side with 4, then

4² = x² + 10²

x² = 4² - 10² = -84

x = sqrt(-84)

and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.

[tex] 4 {x}^{2} + 20x + 16[/tex]

Step-by-step explanation:

[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

Standard error of the mean: 1.91

Step-by-step explanation:

The standard error of a sample mean is [tex]SEM=\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] is the sample standard deviation and [tex]n[/tex] is the sample size. Therefore, the standard error of the mean for a sample size of 175 is [tex]SEM=\frac{\sigma}{\sqrt{n}}=\frac{25.29}{\sqrt{175}}=1.911744304\approx1.91[/tex]

Answer:

(-5) +(+6) +(-2) = (-1)

(-22) -(+8) +(10) =(-4)

Step-by-step explanation:

(-5)+ (+6) is 1 + (-2) is (-1)

(-22)-(+8) is (-14)+(10) is (-14)

Answer:

$40

Step-by-step explanation:

Ariana spent a quarter of her allowance

1 - 1/4 = 3/4 was left

put one third of the remainder in her piggy bank

1/3 * 3/4 = 1/4

She spent 1/4 and piggy banked 1/4

so the $20 she had left was half her allowance.

allowance was $40

Ariana gets a very large allowance!

Answer:

Step-by-step explanation:

A)0.000421m^2

C)25000L^2

B)9300000g^2

D)0.001439km^2

Answer:

a = 8,059.52 m²

Step-by-step explanation:

Area of square

a = s²

a = 56²

a = 3,136

--------------------

Area of circle

a = πr²

a = 3.14(56/2)²

a = 2,461.76

Area of 4 semicircles = area of 2 circles

a = 2,461.76 * 2

a = 4,923.52

-----------------------

Total area

a = 3,136 + 4,923.52

a = 8,059.52 m²

d

Step-by-step explanation:

s=(axh)/2

Answer:

Step-by-step explanation:

1/2 base times height.

Answer:

135°

Step-by-step explanation:

Choose the inside scale

Answer:

DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°

Step-by-step explanation:

use pythagorean theorem:

DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1

use inverse tangent function:

∠E =  [tex]tan^{-1}[/tex](14/8) ≈ 60.3°

∠D =  [tex]tan^{-1}[/tex](8/14) ≈ 29.7°

Answers:

The "units" and "degrees" portions of the answers are likely to be left out.

===============================================

Explanation:

Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE

a^2+b^2 = c^2

c = sqrt(a^2+b^2)

c = sqrt(8^2+14^2)

c = 16.124515496597

c = 16.1 is the approximate length of side DE

----------------------------------

We'll use the tangent ratio to find angle E

tan(angle) = opposite/adjacent

tan(E) = FD/FE

tan(E) = 14/8

E = arctan(14/8)

E = 60.2551187030578

E = 60.3 degrees

The notation arctan is the same as inverse tangent. You should have a [tex]\tan^{-1}[/tex] button on your calculator to help compute the inverse tangent.

-------------------------------------

We could use the tangent ratio to solve for angle D, by noting that

tan(D) = 8/14

or we could use the idea that D+E = 90 which solves to D = 90-E

D = 90-E

D = 90-60.3

D = 29.7 degrees

Note how arctan(8/14) = 29.74488 which rounds to 29.7

Answer:4

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

9x + 4 + 113 = 180

9x + 117 = 180

9x + 117 - 117 = 180 - 117

9x = 63

9x ÷ 9 = 63 ÷ 9

x = 7

Answer:

9x + 4 + 180 + 113=360

9x + 297=360

9x=360-297

9x=63

9x÷9=63÷9

x=7

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

Answer:

m∠B = 76°

Step-by-step explanation:

[tex]\frac{sinB}{b}=\frac{sinC}{c}\\\\sinB=\frac{sinC}{c}(b)\\\\B=sin^{-1}(\frac{sin(29)}{9}(18))\\\\B=75.8=76[/tex]

Therefore, m∠B = 76°.