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kicyunya [14]
3 years ago
9

Clara created the poster shown below:

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer:

length=4\ cm\\width=6\ cm

Step-by-step explanation:

Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

w_1=24\ cm\\l_1=16\ cm

In order to calculate the dimensions of the rectangular  at \frac{1}{4} times its current size, you need to multiply the original lenght by \frac{1}{4} and multiply the original width by \frac{1}{4}.

Knowing this, you get:

w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm

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I'm not sure how to do this! 50 points?
Rus_ich [418]

Answer:

MOP=33

Step-by-step explanation:

MOP + MON = NOP

Substitute what we know

MOP = 3x-3

MON = 4x+9  

NOP = 90   right angle

3x-3+4x+9 = 90

Combine like terms

7x+6 =90

Subtract 6 from each side

7x+6-6=90-6

7x = 84

Divide each side by 7

7x/7 = 84/7

x =12

We need to find MOP

MOP = 3x-3

        =3(12)-3

         36-3

        33

6 0
3 years ago
Read 2 more answers
Write a word problem that can be solved by multiplying a whole number and a fraction. Include the solution.
adelina 88 [10]

Answer:

Sheila had 24 cupcakes, she gave 1/3 of them to Caleb. How many cupcakes did she give to Caleb?

Step-by-step explanation:

24 x 1/3 = 8

She gave 8 cupcakes to Caleb.

8 0
2 years ago
DOES ANYONE KNOW THE ANSWER?????????
givi [52]

There's only information to answer question C.

We can only know that 32 marbles were chosen. (yellow and black)

Why?

To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).

We know that 7/10 of the 20 yellow marbles were chosen.

So, calculating we have:

\frac{7}{10}*20=14(yellow)

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

TotalMarbles=14(yellow)+18(black)=32marbles

Have a nice day!

8 0
3 years ago
A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 f
WITCHER [35]

Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s

              b) 527/24 Ft²/s

              c) 2/25 rad/sec

Step-by-step explanation:

a) b=7 ; a^2+b^2 = 25^2

             a^2+b^2 = 625

Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

                                    b(db/dt) = -a(da/dt)

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.

b) Area of the triangle = 1/2 * b*h

differentiate wrt to time leads to the following relation:

2dA/dt= h(db/dt)+b(dh/dt) \\dA/dt=24-49/24 = 527/24 Ft^2/sec

c) sin (Θ) = b/25

differentiate it again to give

cos(0.284)(d\theta/dt) =  (1/25) (db/dt) \\=2/25 rad/sec

                                 

                               

6 0
3 years ago
Match the pairs of equivalent expressions.
Marysya12 [62]

Answer:

y - 0.32y = 0.68y

y + 0.32y = 1.32 y

Step-by-step explanation:

To simplify expressions, add/subtract using the coefficients of the terms.

y – 0.32y should be 1 - 0.32 = 0.68. This simplifies to 0.68y.

y + 0.32y should be 1 + 0.32 = 1.32. This simplifies to 1.32y.

7 0
3 years ago
Read 2 more answers
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