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Vika [28.1K]
3 years ago
7

triangle has an area of 230.86 square inches. The height of the triangle is 23.8 inches. What is the length of the base of the t

riangle?
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

19.4 inches

Step-by-step explanation:

Area of the traingle = 230.86 sq. inches

Height of the triangle = 23.8 sq. inches

We have,

Area of the triangle =  1/2bh

where,

b = base of the traingle

h = height of the triangle

Now, substituting the given info we get,

230.86 = 1/2b (23.8)

230.86 × 2/23.8 = b

b = 19.4

So, the base of the triangle is 19.4 inches

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Find the length of the missing side. The triangle is not drawn to scale.
suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

a^2+b^2=c^2

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it  is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

a^2+15^2=17^2

Simplify exponents:

a^2+225=289

Isolate the variable. Subtract 225 from both sides:

a^2+225-225=289-225\\a^2=64

Find the square root of both sides:

\sqrt{a^2}=\sqrt{64}\\  a=8

The missing leg length is 8.

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3 years ago
Help I am very bad at math I need answers by tomorrow if you can help please do​
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

(a - b)(a +b) = a² - b²

1 - Sin² A = Cos² A

LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}-  Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A

2)  Sec² A - Tan² A = 1

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3) LHS  = Cosec² A + Cot² A

             = Cosec² A +  Cosec² A - 1

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3 0
3 years ago
1/4+x=5 1/8<br> What is x?<br> Please, Please, Please, Please help me!<br> Will mark Brainliest!
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Answer:

4 7/8

Step-by-step explanation:

First we need to gte the denominators the same!

So we multiply the 1/4 by 2

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Now we subtract the 2/8 from 5 1/8 to get our answer :)

5 1/8 - 2/8 = 4 7/8

Your final answer will be 4 7/8 :)

Have a great day!

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This is calculated as:

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= 5.25

Hence Beverage B has 5.25 times more sugar than Beverage A.

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3 years ago
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