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3 years ago

How do i find angle measurements in an isosceles triangle??

1 answer:

3 0

In an isosceles triangles the sides that are congruent form two congruent angles...you should be given one of those angle measures or the other one...if you are given one of the angle measure formed by the congruent side you know the one opposite it is the same and you know all the measures of angles in a triangle = 180 so you should be able to find them all

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Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

3 years ago

Put 8y-4x=56 in slope intercept form

quester [9]

Answer:

slope intercept form: y=1/2(x)+7

Step-by-step explanation:

slope intercept form is written as y=mx+b

on a graph, the equation y=8y-4x=56 goes through the "x" axis at point (-14,0) and the goes through the "y" axis at point (0,7)

6 0

3 years ago

An online survey company wants to know if customer age is important in deciding to subscribe. The company has gathered a random

aleksley [76]

Answer:

service subscription and age are not independent

Step-by-step explanation:

The appropriate statistical test to adopt for the above problem is the Chisquare test.

The hypothesis :

H0 : service subscription and age are independent

H1 : service subscription and age are not independent

Observed values :

Under 18 18-34 35 and Over Total

Yes__ 120 __262 __237__ 619

No___ 41 ___103 __237 __381

Total 161 365 574 1000

χ² = (Observed - Expected)²/Expected

Expected Values:

99.659 __ 225.935 __ 293.406

61.341 ___ 139.065 __ 180.594

The Chisquare values :

4.15172__ 5.7569__ 10.8438

6.74518_ 9.35307 __ 17.6176

χ² = 4.15172 + 5.7569 + 10.8438 + 6.74518 + 9.35307 + 17.6176 = 54.46827

Degree of freedom = (row-1)*(column-1) = (2-1)*(3-1) = 1*2 = 2

Pvalue at df = 2 ; Pvalue = 0

α = 0.05

Pvalue < Α ; Hence, we reject H0 ; and conclude that service subscription and age are not independent

3 0

3 years ago

What is the TOTAL cost of a Texas Roadhouse bill of $65 if you give a 20% tip

Y_Kistochka [10]

Answer:

hey there 65 x 1.20= 78 dollars for the total cost

Step-by-step explanation:

7 0

3 years ago

11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the

Ulleksa [173]

11/25(14/24)+14/25(13/24)=
=154/600+182/600=
=336/600=14/25

6 0

3 years ago

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