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Advocard [28]
3 years ago
11

What is the value of h in the figure below? In this diagram, /\BAD ~ /\CBD.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

12

Step-by-step explanation:

(25-16) / h = h / 16

9/h = h/16

=144 ( 9 x 16)

h₂ = 144

h= square root 144

h= 12

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Find the intercepts.<br> . (-1,5) and (-3,-5)
Firdavs [7]

Answer:

x-intercept: (-2, 0), y-intercept: (0, 10)

Step-by-step explanation:

First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.

This means that the slope of this line is 5.

To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)

5=5(-1)+?

-5+<u>10</u>=5.

The complete equation for this line is y=5x+10.

From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The <em><u>y-intercept is (0, 10)</u></em> because if you plug in 0 for the x-value, you will get 10 as your y-value.

On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.

0=5x+10

-10=5x

x=-2

So the <em><u>x-intercept is (-2, 0)</u></em>.

5 0
3 years ago
3.20 × 105 gallons of tar (SG = 1.20) is stored in a 20.0-ft tall storage tank. What is the total mass of the liquid in the tank
lilavasa [31]

Answer:

Mass of the liquid in the tank will be 1.45\times 10^8kg

Step-by-step explanation:

We have given volume of tar V=3.20\times 10^5gallon

1 gallon = 3.785 liter

So 3.20\times 10^5gallon=3.20\times 10^{5}\times 3.785=12.112\times 10^5liter

Specific gravity = 1.2

Density of water =1000kg/m^3

We know that specific gravity =\frac{density\ of\ liquid}{density\ of\ water}

1.2=\frac{density\ of\ liquid}{density\ of\ water}

Density of liquid =1200kg/m^3

So mass of liquid = volume × density

= 12.112\times 10^5\times 1200=1.45\times 10^8kg

So mass of the liquid in the tank will be 1.45\times 10^8kg

6 0
4 years ago
A recent physical inventory at a department store reports a merchandise value of $875,435. The merchandise book value was $907,3
Vlad [161]

Answer:

The shrinkage as a percentage of sales is 1.6%.

Step-by-step explanation:

In order to find the percentage of the sales that can be contributed to shrinkage, we first need to find the amount of shrinkage between the book value ($907,340) and the physical inventory ($875,435).  The difference between these two values is $31,905.  With this value of shrinkage, I then divide by the total amount in sales, which is $1,988,345.  This would give me an overall percentage of 1.6%, which represents the shrinkage as a percentage of sales.  

5 0
3 years ago
100 POINTS PLEASE HELP ASAP!!!!!
igomit [66]
Answer:

B. act

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6 0
3 years ago
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Middle school math.​
Nonamiya [84]
The last one the reason is 2 is how much weeks so it’d be 2x - 126 cause that’s how much she wants to lose
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3 years ago
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