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nalin [4]
3 years ago
8

what is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 48 degrees?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
180-2\cdot48=180-96=84
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In a lab, a scientist is growing bacteria for a study. The scientist begins with a bacteria
Diano4ka-milaya [45]

Answer:

The answer is below

Step-by-step explanation:

The growth of the bacteria is in the form of an exponential growth. It is given by the formula:

P(t)=ae^{rt}\\\\where\ t\ is\  the\ number\ of \ hours, P(t)\ is\ the \ population\ at\ t\ hours\\\and\ a=population\ at\ start

At 2 hours, the population is 62 cells, hence:

P(2)=ae^{2r}\\\\62=ae^{2r}\ \ .\ \ .\ \ .\ (1)

After another 2 hours (4 hours), the population is 1 million:

P(4)=ae^{4r}\\\\1000000=ae^{4r}\ \ .\ \ .\ \ .\ (2)\\\\Divide \ equation\ 2\ by\ equation\ 1:\\\\\frac{1000000}{62}=\frac{ae^{4r}}{ae^{2r}} \\\\16129=e^{2r}\\\\ln(e^{2r})=ln(16129)\\\\2r=9.688\\\\r=4.844

Put r = 4.844 in equation 1

62=ae^{2*4.844}\\\\62=16129a\\\\a=0.003844

P(t)=0.003844e^{4.844t}\\\\at \ start,t=0\\\\P(0)=0.003844

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%20%5Ctimes%204x%20%5Ctimes%202y" id="TexFormula1" title="3 \times 4x \times 2y" alt="3 \time
Dahasolnce [82]

Answer:

24 x y

Step-by-step explanation:

Simplify the following:

3×4×2 x y

Hint: | Multiply 3 and 4 together.

3×4 = 12:

12×2 x y

Hint: | Multiply 12 and 2 together.

12×2 = 24:

Answer: 24 x y

5 0
3 years ago
What is the answer to<br><br>6 1/4-3 5/8
german

Answer:

9 7/8

Step-by-step explanation:

solution by separating parts:

1) rewrite equation with parts separated

= 6 +1/4 + 3 + 5/8

2) solve whole number parts

6 + 3 = 9

3) solve fraction parts

1/4 + 5/8 = ?

- find the LCD of 1/4 and 5/8 and rewrite to solve

LCD = 8

2/8 + 5/8 = 7/8

combining the whole and fraction parts:

9 + 7/8 = 9 7/8

3 0
3 years ago
Subtract<br> (8+7i)-(-2-i)
Ulleksa [173]

Answer: 10+8i

Step-by-step explanation:

To subtract the expressions, you would first need to distribute the -1.

(8+7i)-(-2-i)           [distribute -1]

8+7i+2+i               [combine like terms]

10+8i

Now, we have the subtracted answer 10+8i.

8 0
3 years ago
Help please! I’m stuck on this one and idk what to do first!
DaniilM [7]

Answer:

10 miles

Step-by-step explanation:

This is a right triangle. This is know because of the little square in the corner that indicates a right angle. Therefore, the Pythagorean Theorem can be used.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, 24 and x are the legs, because they form the right angle. 26 is the hypotenuse because it is opposite the right angle.

x^2+24^2=26^2

Evaluate the exponents

x^2+576=676

Now, solve for x. First, move 576 to the other side of the equation by subtracting 576 from both sides.

x^2+576-576=676-576

x^2=100

Now, x is being squared. Take the square root of both sides.

√x^2=√100

x=√100

x=10

Use appropriate units

x=10 miles

The missing side length is 10 miles.

3 0
2 years ago
Read 2 more answers
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