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Anna11 [10]
3 years ago
12

Monica has a 24-inch square frame. There are 4 equal sides. She paints 34 of one side of the frame blue.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Answer:

Step-by-step explanation:

Monica has a 24-inch square frame. There are 4 equal sides. She paints 34 of one side of the frame blue.

Assuming that Monica paints 3/4  of one side of the frame blue.

Given,

24-inch square frame.

As there are 4 equal sides, we have,

24 / 4 = 6 in²

Per fraction we have 6 in²

As given, Monica paints 3/4 of one side of the frame blue.

⇒ 3/4 × 6 = 9/2 in²

[ 9/2 in² ] / [ 24 in² ]

= 3 / (2 × 8)

= 3/16

3/16 fraction of the frame Monica paint blue.

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6 0
3 years ago
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What number would you add to both sides of x2 + 7x = 4 to complete the square?
Nata [24]

Answer:

12.5

Step-by-step explanation:

(7/2) = 3.5

(3.5)^2 = 12.5

8 0
4 years ago
Use the area of a rectangle and the Distributive<br> Property to find each product.<br> 9 X 34
OLga [1]

Answer:

Step-by-step explanation:

Write 34 in tens and units.

34 = 30 + 4

9(30 + 4)

9 * 30 = 270

9* 4 = 36

270 + 36 = 306

After awhile if your practice enough, you can do them in your head.

5 0
3 years ago
If 120% is £360 what is 100%
AleksAgata [21]
In this question a vital information has been provided. This information can be used for determining the answer to the question that is asked. It is given that 120% of a certain number is 360 pound. The 100% value of the number needs to be determined.
Let us assume the number to be = x
Then
120x/100 = 360
12x/10 = 360
12x = 360 * 10
12x = 3600
x = 3600/12
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6 0
3 years ago
Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
3 years ago
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