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Nina [5.8K]
3 years ago
8

Sk

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0
About 39 cats are in the shelter
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The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone?
Maslowich
V = \pir^2h/3

V = 3.14 x 4^2 x 6/3       (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5
3 0
3 years ago
Read 2 more answers
What value of x will make ONM similar SRQ by the SAS similarity theorem?
Marta_Voda [28]

Answer:

The correct answer is 25

Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

\frac{NM}{RQ} =\frac{NO}{RS}

given that NM = 10 , NO = 8 , QR = x , RS = 20

∴\frac{10}{x} =\frac{8}{20}

∴x=\frac{10*20}{8} =25

So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25

7 0
3 years ago
Read 2 more answers
Find the greatest common factor for pair 18,36
netineya [11]
The GCF of 18 and 36 is 18. To solve this, use the picture attached. After creating the boxes, find a number that both 18 and 36 can be divided by, for example, 9. Now that you have 9, divide both 18 and 36 by 9. That equals 2 and 4. Place the numbers underneath the boxes you made previously and find another number that both 2 and 4 are divisible by. 2 and 4 are both able to be divided into 2. Do 2 divided by 2 and 4 divided by 2. Now you have the numbers 1 and 2. There aren't any numbers that can be divided into 1 and 2, so now you are left with the numbers 9 and 2. Multiply the numbers together to get a GCF of 18. Hope this helped!

3 0
3 years ago
If m 24 is 53°, what is the m26?
hodyreva [135]

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

131 +x=180

131-131=0 (cancels itself out)

180-131=49

x=49

Therefore, the measure of ∠8 is 49°.

4 0
3 years ago
Use this equation to find dy/dx. 3y cos x = x2 + y2
Art [367]
Given: 3y cos x = x² + y²

Define y' =  \frac{dy}{dx}

Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)

Answer:
\frac{dy}{dx} =  \frac{2x+3y \, sin(x)}{3cos(x)-2y}
5 0
3 years ago
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