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irina [24]
3 years ago
11

(17 Points) Kenzie makes quilts with some blue squares and some green squares. The ratio of blue squares to green squares is sho

wn in the diagram.

Mathematics
2 answers:
denpristay [2]3 years ago
7 0

Answer:

Quilt A: 35 green squares.

Quilt B: 12 blue squares.

Step-by-step explanation:

Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:

3:5\ or\ \frac{3}{5}

Therefore, knowing the ratio, you can calculate:

- The number of green squares (<em>G)</em> in quilt A, as following:

\frac{3}{5}=\frac{21}{G}\\\\G=\frac{21*5}{3}\\G=35

- The number of blue squares (<em>B)</em> in quilt B, as following:

\frac{3}{5}=\frac{B}{20}\\\\B=\frac{20*3}{5}\\B=12

erik [133]3 years ago
4 0

Answer:

Step-by-step explanation:

35 green, 12 blue.

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Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.
Papessa [141]

Answer:

C=78.28^{\circ \:}

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

cos(C)=\frac{a^2+b^2-c^2}{2ab}

now, we can plug values

cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}

cos(C)=\frac{13}{64}

now, we can find angle

we get

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5 0
3 years ago
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
andriy [413]

Answer:

<h2>Yes, this is a right triangle.</h2>

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

Plugging the values,

{15}^{2}  =  {12}^{2}  +  {9}^{2}

Evaluate the power

225  = 144 + 81

Calculate the sum

225 = 225

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

4 0
3 years ago
Read 2 more answers
Given log3 2=0.631 log3 7=1.771 what is log3 14?
Leni [432]
In logarithm, inverse operations are applied.
log_3{14} =  log_3{7} +   log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402
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Answer:

The answer is nonexistent

Step-by-step explanation:

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