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laila [671]
3 years ago
12

Missy read 1/12 of a book by Monday 1/4 of a book by Tuesday and 512 by Wednesday.

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

part A:

1/12 on day 1

1/4 or 3/12 on day 2

5/12 on day 3

Missy read 2/12 or 1/6 every day

Part B:

if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day

2/12 * 4 = 8/12

so 1/12 + 8/12 = 9/12 or 3/4 by Friday

Step-by-step explanation:

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Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A
alekssr [168]

Answer:

\theta_{CAB}=128.316

\theta_{ABC}=25.842

\theta_{BCA}=25.842

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}

AB= \sqrt{(-3-1)^2+(0-3)^2}=5

BC= \sqrt{(1-1)^2+(3-(-3))^2}=9

CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}

\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}

\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}

\theta_{CAB}=\arccos{-\dfrac{0.62}}

\theta_{CAB}=128.316

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}

\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)

\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)

\theta_{ABC}=\arcsin{0.4359}\right)

\theta_{ABC}=25.842

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

\theta_{BCA}=25.842

this can also be checked using the fact the sum of all angles inside a triangle is 180

\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180

25.842+128.316+25.842

180

6 0
3 years ago
Read 2 more answers
Multiply (5a+7)(5a-7)
vovikov84 [41]

Answer:

25a^2-49

Step-by-step explanation:

1)use FOIL

F=first

O=out

I=inside

L=last

5a*5a+5a*-7+7*5a*7*-7

25a^2-35a+35a-49

25a^2-49

Hope this helps!

5 0
3 years ago
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A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape
nata0808 [166]

Answer:

y = -¼│x − 5│+ 3

Step-by-step explanation:

y = a│x − h│+ k

(h, k) is the vertex of the absolute value graph.  In this case, it's (5, 3).

y = a│x − 5│+ 3

One point on the graph is (1, 2).  Plug in to find the value of a.

2 = a│1 − 5│+ 3

2 = 4a + 3

a = -¼

Therefore, the graph is:

y = -¼│x − 5│+ 3

4 0
3 years ago
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g100num [7]

Answer:

For the first blank: 8

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Step-by-step explanation:

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That's for 1 half of the roof so do cover the whole roof you need 8.

8 0
3 years ago
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A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Lemur [1.5K]
Hi!

Use The Percentage Formula To Solve:

385 ÷ 550 * 100 = 70

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3 years ago
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