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lora16 [44]
3 years ago
13

Help asappp pleaseeee

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

117 degrees

Step-by-step explanation:

Two vertical angles will always equal each other.

So, set up an equation where angle A and angle B equal each other to solve for x:

5x - 3 = 4x + 21

5x = 4x + 24

x = 24

Plug in 24 for x in the expression represent angle A:

5(24) - 3

120 - 3

117

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Help please it says round your answer to the nearest hundredth
Snowcat [4.5K]

Answer:

∠ B ≈ 62.73°

Step-by-step explanation:

Using the sine ratio in the right triangle.

sinB = \frac{opposite}{hypotenuse} = \frac{AC}{AB} = \frac{8}{9} , thus

∠ B = sin^{-1} (\frac{8}{9} ) ≈ 62.73° ( to the nearest hundredth )

6 0
3 years ago
3) An $1,000 investment is made in a trust fund at an annual percentage rate of 12%,
Elina [12.6K]

We need to find the interest rate in order to solve this problem:

.12/12 = (.01)

The number of years is unknown. T represents time in the following formula:

1000 (initial investment)

2000 (balance after t years from investment)

$1000 (1 + .01)^{12t}=$2000

In order to isolate the exponential term, both sides must be divided by 1000.

(1+.01)^{12t}=2

By using natural logarithm:

Ln(1+.01)^{12t} =Ln2\\(12t)Ln(1+.01)=Ln2\\

By dividing both sides of the equation by (12)Ln(1+.01)

t=\frac{Ln(2)}{(12)Ln(1+.01)} =5.805yrs

5 0
3 years ago
How to probe secx-tanx(sinx)=1/secx
andre [41]

Answer:

True

Step-by-step explanation:

8 0
3 years ago
What value of c makes the equation true?<br><br><br><br> −3−3/4(c−4)=5/4
Anuta_ua [19.1K]
C = -5/3 = -1 2/3



Write down the equation and solve for c

-3 - 3/4(c-4) = 5/4



Distribute the 3/4

-3 -(3/4)c + 3 = 5/4



Perform the addition of -3 and 3

-(3/4)c = 5/4



Divide both sides by -(3/4)

c = 5/4 / (-3/4) = 5/4 * (-4/3) = -20/12 = -5/3



So the value of c is -5/3. Let's verify it.

-3 - 3/4(-5/3 - 4) = x



Distribute the -3/4

-3 - (3/4)(-5/3) + (3/4)4 = x

-3 +15/12 + 3 = x



Combine terms

15/12 = x



Simplify

5/4 = x
5 0
3 years ago
11/4 - 2/4 as an improper fraction
tatiyna

Answer:

9/4

Step-by-step explanation:

a improper fraction is a fraction where the numerator is a larger number then the denominator

11/4 - 2/4 would be 9/4 because 11 -2 is 9 and you keep the denominator

4 0
2 years ago
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