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Lena [83]
3 years ago
15

What is the surface area of the cone a. 460 in^2 b. 390 in^2 c. 425 in^2 d. 360 in^2

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

Surface area of the cone = 360π in²

Step-by-step explanation:

Formula for the surface area of a cone is,

Surface area = πr(r + l)

Here 'r' = radius of the circular base of the cone

l = Lateral height of the cone

Now we substitute the values in the formula from the figure attached,

Surface area = π(10)(10 + 26)

                     = 360π in²

Therefore, surface area of the cone will be 360π in².

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Triangle ABC is shown below.
Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

AB=AC\\\\2x=3x-7

Simplify the equation, solving for x. Add 7 to both sides:

2x+7=3x-7+7\\\\2x+7=3x

Subtract 2x from both sides:

2x-2x+7=3x-2x\\\\7=x

The value of x is 7. Insert the value of x into the given length of AC:

AC=3(7)-7

Simplify multiplication:

AC=21-7

Subtract:

AC=14

Therefore, the length of the line segment AC is 14.

:Done

8 0
3 years ago
Answer for question 3 A and B please. Please explain answers! 32 points
VladimirAG [237]

Answer:

y=50

x=30

z=100

Step-by-step explanation:

x+20=y

2y=z

x+y+z=180

x+y+2y=180

3y+x=180

-y+x=-20

4y=200

y=50

x=30

z=100

4 0
3 years ago
A sweater is on sale for 75% of the original price of $44. Calculate the sale price.
Step2247 [10]

Answer:

$11

Step-by-step explanation:

44(0.75)=33

44-33=11

4 0
3 years ago
Read 2 more answers
Turn 3x+8y=14.50 in a y equals equation
zlopas [31]

Answer:

y= (-3x +14.50) / 8

Step-by-step explanation:

Isolate the 8y

Subtract 3x from both sides

8y = -3x + 14.50

Then, isolate the left to only y

y= (-3x +14.50) / 8

7 0
3 years ago
Researchers study the relationship between interpersonal violence and health in college age women. The selected an alpha of 0.05
Elena-2011 [213]

Answer:

There exists a relationship between interpersonal violence and health.

Step-by-step explanation:

The relationship between interpersonal violence and health :

The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;

If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0

H0 : ρ = 0

H1 : ρ ≠ 0

α = 0.05

Reported Pvalue = 0.016

Decison region :

Reject H0 ; If Pvalue < α

Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.

8 0
3 years ago
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