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BartSMP [9]
3 years ago
5

Pleaase help!Find h. 11 in. h = ✓ [?] in. 14 in Enter​

Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

h=8.48\ \text{inches}

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}

So, the height of the cone is equal to 8.48\ \text{inches}.

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4. Tom rides his bike a total of 6 14 miles to work over the course of 5 days.
irina [24]

6 14 miles in 5 days.

In 1 day Tom rides 6 14/5 = 1 228 miles

1 week has 7 days

5 weeks have 35 days

1 day Tom rides 1 228 miles

35 days Tom rides for 1 228 * 35 = 42 98miles.

5 0
3 years ago
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.​
vampirchik [111]
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

The age of Sita = (x + 5) years.

And, the age of Gautam = x years.

Now,

5 years ago, the ratio of their ages was 3 : 2

\therefore \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x}

Now by cross multiplying, we get,

3x = 2(x + 5)

3x = 2x + 10

3x - 2x = 10

<h3>x = 10 </h3>

Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.

And, the age of Gautam = x = 10 years.

Now,

The present age of Sita = 15 + 5 = 20 years. (Answer)

And, the present age of Gautam = 10 + 5 = 15 years. (Answer)

4 0
3 years ago
State if each pair of ratios forms a proportion 4/3 and 8/6 yes or no??
Reptile [31]

We have: \frac{4}{3}=\frac{4.2}{3.2}= \frac{8}{6}

Answer: Yes

Ok done. Thank to me :>

7 0
3 years ago
What is the average value of y=cosx/x^2+x+2 on the closed interval "[-1, 3]"?
soldi70 [24.7K]
We have 
<span>y=cos x/(x</span>²+x+2)  <span>on the closed interval [-1, 3]
</span><span>
we know that
</span>The average value of f(x) on the interval [a, b] is given by: 
<span>F(avg) = 1/(b - a) ∫ f(x) dx (from x=a to b). 
(b-a)=(3+1)------> 4
</span>= 1/4 ∫ cos(x)/(x² + x + 2) dx (from x=-1 to 3). 

Note that [cos(x)/(x² + x + 2)] does not have an elementary anti-derivative.
 By approximating techniques: 
1/4 ∫ cos(x)/(x^2 + x + 2) dx (from x=-1 to 3) ≈ 0.182951

the answer is
<span>the average value of y = cos(x)/(x</span>²<span> + x + 2) on [-1, 3] is approximately 0.182951</span>

5 0
3 years ago
A pair of shoes is on sale for 80% of the original price. The sale price is $60. What was the original price?
Paraphin [41]

Answer:

$75

Step-by-step explanation:

I just guessed numbers until 80% off a number hit 60 and that was 75

3 0
4 years ago
Read 2 more answers
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