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2 years ago

Predict the number of blue squares in a quilt with 11 green squares if there are 4 green squares in a quilt with blue squares.

Mathematics

1 answer:

attashe74 [19]2 years ago

3 0

If you make the numbers into a ratio, it will be easier to find the answer.

There are 68 blue squares for the 4 green squares in the quilt.

68:4, or 68/4

If we do the division of the ratio, 68/4, we end up with 17.

Now, we multiply that by the 11 green squares of the new quilt.

17 x 11 = 187

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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

3 0

3 years ago

Systems By Graphing - Solve All Correctly For a Thanks, 5-Stars, And A Brianliest!

BartSMP [9]

Answer:

Step-by-step explanation:

Amari= Graph C and Solution is (-6,-2)

Bella= Graph A and Solution is (3,4)

Carl= Graph B and Solution is (0,-3)

0 solutions because the slopes are the same. The lines will never cross because they are at the exact same angle.

No, I do not agree with Joey because the lines have different slopes and will lead to the system cross which is the solution.

1st graph: y=2x-1 and y=7 solution #1= (4,7)

2nd graph: y=-2x-3 and y=1/2x solution #2= (-2,1)

3rd graph: y=x and y= -1/5+6 solution #3= (5,5)

I had this exact same assignment a few months ago, my teacher didn't use the 2nd slide but I had the 1st and 3rd slide so this should help!

4 0

2 years ago

The triple of the sum of two consecutive numbers is 99. Which is the greater of the two numbers.

san4es73 [151]

Answer:

I have no idea Im so sorry i tried to understand all i could think of is x+y=99

3 0

3 years ago

When was the first world war

MAVERICK [17]

Answer:

July 28, 1914--World War 1

Step-by-step explanation:

5 0

3 years ago

A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a ____ inequali

ch4aika [34]

The answer to fill in the blank should be ''Linear''.

5 0

3 years ago