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2 years ago

Can someone help please!

Mathematics

1 answer:

slava [35]2 years ago

4 0

Answer: Area of the dotted line square is 120ft^2 and area of figure a. is 60 ft^2

Step-by-step explanation:

So the area of the dotted square/rectangle is 120 because we can take the entire length and width which is 10ft and 12 ft and multiply to find the area

Now the weird looking shape can be a little tricky but we have to remember that it is alot easier to solve for area of separate shapes. So if you look at the side of the 5ft and look all the way down we can see this figure makes both a rectangle and a triangle. The rectangle has a length of 10 and width of 4 so the area of that is 40ft^2. Now for the triangle. To find the base and height lengths 12-4 from the width of the rectangle which is 8 and 10-5 from height of the triangle so 5. Area of triangles is b*h/2 so 8*5/2= 20ft^2. So 40ft^2(rectangle)+20ft^2(triangle) is 60ft^2 area of figure a.

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Solve for b 2 in A = h(b 1+b 2), if A = 16, h = 4, and b 1 = 3. b 2 =

hammer [34]

Answer:

b2 = 1

Step-by-step explanation:

A = h(b1 + b2)

Given:

A = 16

h = 4

b1 = 3

b2 = x

Work:

A = h(b1 + b2)

16 = 4(3 + x)

16 = 12 + 4x

4x = 16 - 12

4x = 4

x = 1

4 0

2 years ago

What additional information can be used to prove ΔDSB ≅ ΔTSR by SAS?

Elden [556K]

Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.

As per that diagram, $RS\cong SB$ (which is given)

and we know that $\angle DSB\cong \angle RST$ (vertically opposite angles).

Thus, the only way ΔDSB ≅ ΔTSR by SAS is when $DS\cong ST$ as indicated in the diagram.

Thus, $DS\cong ST$ is the correct answer.

8 0

3 years ago

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An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache

weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = $\frac{50}{4000} = \frac{1}{80}$

Hence,

1/80 of the agency's employees have PhDs.

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2 years ago

Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

lara [203]

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$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

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2 years ago

124 ounces decreased by 67%

slavikrds [6]

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2 years ago

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