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2 years ago

Haru is putting lace around the edge of a rectangular pillow case that has a

Mathematics

1 answer:

sleet_krkn [62]2 years ago

6 0

Answer:

56.5 inches

Step-by-step explanation:

You want to find the perimeter (or the length around the rectangle) to find much lace he needs. the formula for perimeter is 2L+2W=P. L being length, w being width and p being perimeter. Plug in the values for the equation and get 2(12.75)+2(15.5)=P. Multiply and get 25.5+31=56.5.

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What is the area of this composite figure?

Mkey [24]

We have two congruent trapezoids.

The formula of an area of a trapezoid:

$A=\dfrac{base_1+base_2}{2}\cdot\ height$

We have:

$base_1=210\ mm\\\\base_2=150\ mm\\\\height=55\ mm$

Substitute:

$A=\dfrac{210+150}{2}\cdot55=\dfrac{360}{2}\cdot55=180\cdot55=9,900\ mm^2$

Answer:

$2A=2\cdot9,900\ mm^2=19,800\ mm^2$

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3 years ago

What is the equation of the line shown in this graph?

navik [9.2K]

Answer:

x=-2

Step-by-step explanation:

Since it's a vertical line the answer is going to be x= which ever number the line is on. In this case x=-2

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1 year ago

Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng

Thepotemich [5.8K]

Answer:

Length of side of rhombus is $x=\frac{ab}{a+b}$

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA (∵Corresponding angles)

∠CFE=∠CAB (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

$\frac{EF}{AB}=\frac{CF}{AC}$

⇒ $\frac{x}{a}=\frac{b-x}{b}$

⇒ $xb=ab-ax$

⇒ $x(a+b)=ab$

⇒ $x=\frac{ab}{a+b}$

Hence, length of side of rhombus is $x=\frac{ab}{a+b}$

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3 years ago

The product of two numbers is 144 and their difference is 10. What is the sum of the two numbers

Lyrx [107]

Answer:

18+8=26

Step-by-step explanation:

Their sum would be 18 and * because they have difference of ten. In order o get this you would have to multiply 1 X144 and so on.

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2 years ago

Read 2 more answers

A container ship left port last week caring some good weighing a total of 125,890 tons today I stopped in another port to unload

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

You need to be specific. Did the weight decrease by 60 tons or 60 pounds? I assume tons, but in math, you can't assume.

This problem seems overly simple, so I am wondering if some information is missing. With the given information and assuming the decrease was in fact 60 tons, you would have:

125,890 - 60 = 125,830 tons

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3 years ago