Find the area of each figure in square units.

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Answer:

Spot 1:   14

Spot 2:   7

Step-by-step explanation:

To fill in the first empty spot, we just have to look at the other side.

We can see that the factor on the right is 4

That means the factor on the left has to multiply by 4 to get 56

To find which number that is, we divide 56 by 4

56 ÷ 4 = 14

So, the first spot is 14

Then, to find the spot below it, we need a number that multiplies by 2 to get 14

Well, 14 ÷ 2 = 7

The second spot is 7

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

in 10 hrs distance covered=speed×time=15×10=150 nautical miles.

x²=600²+150²-2×600×150×cos 20°

x²=360,000+22,500-180,000×cos 20°

x=√(382,500+180,000×cos 20°)

x\approx 742.73 nautical miles

time taken=742.73/15 \approx ~49.52 hours

total time taken=10+49.52=59.52 hours

applying sine formula

[tex]\frac{sin ~B}{150} =\frac{sin~20}{742.73} \\\sin~B=\frac{150}{742.73} \times~sin~20\\B=\sin^{-1} [\frac{150}{742.73} \times \sin~20]\\B\approx~3.96 ^\circ\\B\approx 4^\circ[/tex]

so it has to make a turn=20+4=24°

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

So

P(AUB)=P(A)+P(B)

Answer:

y > 2x - 1

Step-by-step explanation:

the first thing we see in the graph is the dotted line. so, the line itself will not be included. therefore, no "<=" or ">=", but there was none in the answer options anyway.

then we see the shaded area is "above" (in tendency) the line. so, we are talking about a "y > ..." inequality.

then we see the y-intercept (the y value when x=0). it is -1, but all the answer options have "-1" as y-intercept. OK.

and then we see the slope of the line. when checking after (0, -1) the next point on the line with whole numbers as coordinates, we find (1, 1). so, while x increased by 1, y increases by 2. so, the slow is "y change"/"x change" = 2/1 = 2

so, in total, we are looking for the line

y = 2x - 1

and to cover the whole area above the line (but without the line) we get then

y > 2x - 1

96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow

Answer:

16$

Step-by-step explanation:

96$ for 6 pillows, so divide that cost by 96$/6=16$ per pillow

The amount of metal he will need to cover the back of the shelves is 180 inches².

The figure above is like a composite figure. Therefore, lets find the area.

The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.

Therefore, two rectangles can be drawn from it.

area of rectangle = lw

where

l = length

w = width

Therefore,

area of rectangle 1 = 9 × 8 = 72 inches²

area of rectangle 2 = 6 × 18 = 108 inches²

Total area = 108 + 72 = 180 inches²

Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².

learn more on area here: https://brainly.com/question/25849553

Answer:

21.07 ft²

Step-by-step explanation:

Radius = 7

Length of the rectangle = 2 * 7 = 14 ft

Area of rectangle = 14 * 7 = 98 ft²

Area of semicircle = π(7)²/2 = 76.93 ft²

So the are of shaded region = 98 - 76.93 = 21.07 ft²

Answer:

0.076923 in decimal or 0.08

Answer:

You are multiplying two factors in the argument.  So we add the logs.

log(x4y3) + log((x2y5)1/3)

log(x4y3) + log(x2/3y5/3)

For each log term. The arguments are being multiplied.  So we further add the logs.  Also, any exponents become of the coefficients of logs.

4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)

Combine like log terms.

(14/3)log(x) + (14/3)log(y)

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last  names.

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The dot plot states that:

2 students have 4 vowels in their first and last name.

3 students have 5 vowels.

8 students have 6 vowels.

9 students have 7 vowels.

Then:

Total of 2 + 3 + 8 + 9 = 22 students.

3 + 8 + 9 = 20 have or more vowels.

90.91% of the students have 5 or more vowels in their first and last  names.

Answer:

96 gallon of a gas if a gallon of gas is used to travel a mile you will multiply one times ninety six

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

Expand 4(1+0.5m): 4+2m

[tex]4\left(1+0.5m\right)[/tex]

[tex]a=4,\:b=1,\:c=0.5m[/tex]

[tex]=4\cdot \:1+4\cdot \:0.5m[/tex]

Simplify 4*1+4*0.5m: 4+2m

[tex]4\cdot \:1+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4[/tex]

[tex]=4+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.5=2[/tex]

[tex]=4+2m[/tex]

[tex]4+2m=7m[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]

[tex]4+2m-4=7m-4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2m=7m-4[/tex]

[tex]\mathrm{Subtract\:}7m\mathrm{\:from\:both\:sides}[/tex]

[tex]2m-7m=7m-4-7m[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5m=-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5m}{-5}=\frac{-4}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=\frac{4}{5}[/tex]

Answer:

Step-by-step explanation:

no of yellow marbles = 6

no. of green marbles = 6

total no. of marbles = 12

he picks and put the marbles for 26 times

he pick yellow for 15 times

he pick green marble for 11 times

= (15/26 - 1/2) / 1/2 = 15.4%

Answer:

If one angle is 23 then the other is 180-23 = 157

one angle is the supplementary of other

23 is the supplementary of 157

157 is the supplementary of 23

Answer: 24 degrees

Step-by-step explanation:

The measure of a central angle is equal to the measure of the arc that it intercepts.

Answer:

23/131 or 23/58

Answer:

8

Step-by-step explanation:

10 -1-1

that's all I can think

Answer:

Step-by-step explanation:

0 hours is 0, 1 is 3.5, 2 is 7, 3 is 10.5, 4 is 14, 5 is 17.5.

Explanation:

x = length of the actual car in inches

5% of x = 9 inches

0.05x = 9

x = 9/(0.05)

x = 180 inches

Divide by 12 to convert from inches to feet.

180 inches = (180/12) feet = 15 feet

If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions

The formula for calculating the area of circle is expressed as;

A  = πr²

r is the radius of the circle

If r = 875ft

A = 3.14(875)²

A = 2,404,062.5squar feet

For the diameter = 1715feet

r = 1715/2

A = 3.14(1715/2)²

A =2,308,861.625 square feet

For the third portion has a 5305 feet circumference;

5305 = 2(3.14)r

r = 844.74ft

A = 3.14(844.74)^2

A = 2,240,686.70

If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions

Learn more on area of circle here; https://brainly.com/question/28956

the person above has the correct work.. but the answer is  the portion with the 5305 feet circumference.

Answer: 200.2 + 4.27 = x

x = 204.47

204.47 x [tex]10^{3}[/tex]= 204470

Answer:

37.7cm

Step-by-step explanation:

If the diametre is 12, the radius is 6, which means the area is 113.0973, which also means the circumference is 37.6991, round and you get 37.7

Answer:

b){ f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

I took a test recently on this and am not really sure how to explain it.

Hope this helped.

A brainliest is always appreciated.

Answer:

C would be your answer

Step-by-step explanation:

Put it into the graphing calculator

Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution set shown belongs to two equations,

Hence, the correct option is C.

Learn more about Inequality:

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x1+x2/2 + y1 +y2/2

= 1 +3/2 + 3+11/2

= (2;7)