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g100num [7]
3 years ago
11

Two of the statements are true; one is a lie.

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

Statement 3

Step-by-step explanation:

∠GAF ≅ ∠TAE

Since, there is no relation between these angles,

Therefore, statement is False.

∠TAE and ∠FAH are complementary.

If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.

Therefore, this statement is False.

∠TAF is obtuse.

Measure of obtuse angle is more than 90°

From the given picture, measure of ∠TAF = m∠TAH + m∠HAF

                                                                      = 90° + 50°

                                                                      = 140°

Here, m∠TAF > 90°

Therefore, ∠TAF is an obtuse angle.

Statement (3) is the correct statement.

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Simplify and express with POSITIVE indices <br><br> a^3*a^-4*a^5
valkas [14]

Answer:

hello :

a^4

Step-by-step explanation:

a^3*a^-4*a^5 = a^(3 - 4 +5) = a^4

5 0
3 years ago
A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest
SashulF [63]

Answer:

height = 63  m

Step-by-step explanation:

The shape of the monument is a triangle. The triangle is a right angle triangle. The triangular monument is sitting on a rectangular pedestal that is 7 m high and 16 m long.  The longest side of the triangular monument is 65 m . The longest side of a right angle triangle is usually the hypotenuse. The adjacent side of the triangle which is the base of the triangle sitting on the rectangular pedestal is 16 m long.

Since the triangle  formed is a right angle triangle, the height of the triangular monument can be gotten using Pythagoras's theorem.

c² = a² + b²

where

c is the hypotenuse side while side a and b is the other sides of the right angle triangle.

65² - 16² = height²

height² = 4225  - 256

height² = 3969

square root both sides

height = √3969

height = 63  m

4 0
3 years ago
I need this question as soon as possible. Can u please explain the answer to
Mnenie [13.5K]

Answer:

area = 8(x + 6)

The distributive property says that the x must be added to the 6 before it is multiplied by the 8

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3 years ago
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Sibal started with $500 in a bank account that does not earn interest. In the middle of every month, she withdraws 1/5 of the ac
GalinKa [24]
4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
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3 years ago
The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin
bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0
3 years ago
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