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3 years ago

5

PLEASE PLEASE HELP!! I'm a bit behind with math, and you'd be doing me a huge huge favor! thank you so much in advance. (:

2 answers:

lys-0071 [83]3 years ago

3 0

All triangles equal 180 the exterior line and the missing corner are supplementary meaning that that 1=168

wel3 years ago

3 0

It is 168. Because the right angle is 90 degrees. The other one is 78. 78+98 = 168. So 180 degrees - 12 degrees is 168.

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Simita has 25 coins, consisting of 10c and 5c, which total $2.25. how many of each does she have?

Ilya [14]

Answer:

10c = 20

5c = 5

Step-by-step explanation:

Let x be the number of 10c coins; let y be the number of 5c coins. The total is $2.25, so the amount of 10c and 5c coins will add to that. Simita has 25 coins, so x and y, the number of coins, will have to add to 25. Hence, solve the simultaneous equation.

10x + 5y = 225 (1) - times by 0

x + y = 25 (2) - times by 5

10x + 5y = 225 (1)

5x + 5y = 125 (2)

Then, take equation 2 away from equation 1.

5x = 100

x = 20

Substitute x back into the original equation.

x + y = 25

20 + y = 25

y = 5

7 0

3 years ago

1 Evaluate the expression. r3 - 2s if r = 5 and s = 4

user100 [1]

Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

6 0

3 years ago

Read 2 more answers

The populations of two cities after t years can be modeled by -150t+50,000 and 50t+70,0000 . What is the difference in the popul

Sindrei [870]

Answer:

25,800

Step-by-step explanation:

Plug in 4 everytime you see T.

multiple-150 times 4 plus 50000 which gives you 49,400.

then multiple 50 times 4 and add 75000, giving you 75,200 then subtract 75,200 - 49,400 which you end up with 25,800.

hope this helped

5 0

2 years ago

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

3 years ago

you have $15,000 to invest for 5 years at 5.5% annual interest rate that is compounded continuously. how much money will you hav

MissTica

Answer:

$19,747.96

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below:

$A = Pe^{rt}$

<em>A = total</em>

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 5.5% into a decimal:

5.5% -> $\frac{5.5}{100}$ -> 0.055

Next, plug in the values into the equation:

$A=15,000e^{0.055(5)}$

$A=19,747.96$

After 5 years, you will have $19,747.96

4 0

3 years ago