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3 years ago

•What is the value of X?

Mathematics

2 answers:

Bas_tet [7]3 years ago

5 0

Answer:

x = 29

angle c = 93

Step-by-step explanation:

Angles in a triangle add up to equal 180

That being said we create an equation to solve for x

180 = 3(x+2) + 52 + 35

Now we solve for x using basic algebra

step 1 distribute the 3 to ( x and 2 )

3 * x = 3x

3 * 2 = 6

now we have 180 = 3x + 6 + 52 + 35

step 2 combine like terms

6 + 52 + 35 =93

now we have 180 = 93 + 3x

step 3 subtract 93 from each side

93 - 93 cancels out

180 - 93 = 87

now we have 87 = 3x

step 4 divide each side by 3

3x / 3 = x

87 / 3 = 29

we're left with x = 29

Now we want to find the measure of angle C

To do so we plug in 29 for "x" in 3 ( x + 2)

3 ( 29 + 2 )

29 + 2 = 31

3(31) = 93

Hence angle c = 93

djyliett [7]3 years ago

4 0

Answer:

solution given:

3(x+2)+35°+52°=180°[sum of interior angle of a traingle is 180°]

3(x+2)=180-87

x+2=93/3

x+2=31

x=31-2=29°

value of x=29°

again

<C=3(29°+2)=93°

the measure of angle C=93°

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mr Goodwill [35]

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3 years ago

The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use

Len [333]

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

$r = \sqrt{\frac{3v}{4\pi}}$

$v = 288$

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

$r = \sqrt{\frac{3v}{4\pi}}$

$r = \sqrt{\frac{3 * 288}{4 * 3.14}}$

$r = \sqrt{\frac{864}{12.56}}$

$r = \sqrt{68.7898089172}$

$r = 8.29396219651$

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Hence;

<em>The radius of the volleyball is 8.3 inches</em>

3 0

3 years ago

Read 2 more answers

Match the solid figure to the appropriate formula.

AlekseyPX

1. $L \cdot A=\pi r l$ - Cone

2. $V=\frac{4}{3} \pi r^{3}$ - Sphere

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$ - Cylinder

4. $V=\frac{1}{3} B h$ - Pyramid

5. $L . A=p h$ - Prism

Solution:

1. $L \cdot A=\pi r l$

Lateral surface area of cone = $\pi r l$

where r is the radius of the cone and l is the slant height of the cone.

2. $V=\frac{4}{3} \pi r^{3}$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere.

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$

Total surface area of cylinder = $2 \pi r h+2 \pi r^{2}$

where r is the radius of the cylinder and h is the height of the cylinder.

4. $V=\frac{1}{3} B h$

Volume of pyramid = $\frac{1}{3} B h$

where B is the base area of the pyramid and h is the height of the pyramid.

5. $L . A=p h$

Lateral surface area of prism = $p h$

where p is the perimeter of the base and h is the height of the prism.

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3 years ago

An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y

Kay [80]

Answer:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

$\bar X_{1}=14$ represent the mean for sample 1 (younger)

$\bar X_{2}=20$ represent the mean for sample 2 (older)

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=31$ sample size for the group 2

$n_{2}=31$ sample size for the group 2

t would represent the statistic

System of hypothesis

We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis: $\mu_{1}-\mu_{2}=0$