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Pavlova-9 [17]
2 years ago
7

Find the area of the shaded region

Mathematics
1 answer:
maxonik [38]2 years ago
3 0

Answer:

96 cm^2

Step-by-step explanation:

15 x 10 = 150

9 x 6 = 54

150 - 54 = 96

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Segment AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB. A) Find the distance
Deffense [45]

Answer:

A) \frac{7}{8}a

B) \frac{5}{8}a

Step-by-step explanation:

AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB

A) Therefore, AP = 2QB

QB = AP/2

The midpoint of QB = QB/2 = (AP/2)/2 = AP/4

AP = 2PQ, Therefore PQ = AP/2

Since the length of AB = a

AB = AP + PQ + QB = a

AP + AP/2 + AP/2 = a

AP + AP = a

2AP = a

AP = a/2

The distance between point A and the midpoint of segment QB = AP + PQ + QB/2 = AP + AP/2 + AP/4 = 7/4(AP)

But AP = a/2

Therefore The distance between point A and the midpoint of segment QB =  7/4(a/2)= \frac{7}{8}a

B)

the distance between the midpoints of segments AP and QB = AP/2 + PQ + QB/2 = AP/2 + AP/2 + AP/4 = 5/4(AP)

But AP = a/2

Therefore the distance between the midpoints of segments AP and QB = 5/4(AP) = \frac{5}{4} *\frac{a}{2}=\frac{5}{8}a

7 0
3 years ago
Can you please help me out
Taya2010 [7]

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

\text{Total marbles = (R) + (G) +(B) = 9 + 7 + 4 = 20 marbles}

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

\text{Prob, P =}\frac{required\text{ outcome}}{possible\text{ outcome}}\begin{gathered} P(R)=\frac{9}{20} \\ P(G)=\frac{7}{20} \\ P(B)=\frac{4}{20} \end{gathered}

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

\begin{gathered} \text{Prob of a red marble P(R) =}\frac{9}{20} \\ \text{Prob of }a\text{ blue marble =}\frac{4}{19} \\ \text{After a marble is selected without replacement, marbles left is 19} \\ \text{Prob of red marble + prob of blue marble = P(R) + P(B) = }\frac{9}{20}+\frac{4}{19}=\frac{251}{380} \\ \text{Hence, the probability is }\frac{251}{380} \end{gathered}

Hence, the best option is G.

5 0
1 year ago
In which number does one digit 8 have a value of 100 times the other digit 8?
Sever21 [200]
<span>A.) 8.028 - 8 ones and 8 thousandths 

B.) 20.88 - 8 tenths and 8 hundredths

C.) 28.80 - 8 ones and 8 tenths

D.) 28.08 - 8 tens and 8 hundredths

Answer D:

<u>Explanation:</u>

8 tens = 80

8 hundredths = 0.08

80 ÷ 0.08 = 100

80 is 100 times of 0.08</span>
4 0
4 years ago
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green
Sergio [31]

Answer:

A

Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.

5 0
3 years ago
Read 2 more answers
The profit of a company in thousands of dollars is given by the quadratic function P(x) = 3000 + 1200x - 6x2 where x is the amou
Ganezh [65]
P(x) = 3000 + 1200x - 6x²

P'(x) = 1200 - 12x

1200 - 12x = 0

- 12x = - 1200

x = 100<span>
Shoutout to @dferreiraalves 


Your answer is: x = 100 

Have an amazing day and stay hopeful!

</span>
8 0
3 years ago
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