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Setler79 [48]
3 years ago
6

Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a

height of 2 feet. What is the volume of her cat box?
Mathematics
1 answer:
likoan [24]3 years ago
8 0

Answer:

\text{Volume of cat box}=3.52\text{ ft}^3

Step-by-step explanation:

We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.

Let us convert one and one tenth feet into decimal.

1\frac{1}{10}=\frac{11}{10}=1.1

Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:

\text{Volume of cat box}=1.10\text{ ft}\times 1.6\text{ ft}\times 2\text{ ft}

\text{Volume of cat box}=3.52\text{ ft}^3

Therefore, the volume of the cat box is 3.53 cubic feet.

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Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.
Papessa [141]

Answer:

C=78.28^{\circ \:}

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

cos(C)=\frac{a^2+b^2-c^2}{2ab}

now, we can plug values

cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}

cos(C)=\frac{13}{64}

now, we can find angle

we get

C=78.28^{\circ \:}

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3 years ago
The diagram shows a sector of a circle radius 10 cm. the angle is 135 degrees
Black_prince [1.1K]

Answer:

The perimeter is 43.6 cm

Step-by-step explanation:

In this question, we are tasked with calculating the perimeter of the sector.

Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.

Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius

Let’s calculate the length of the arc.

Mathematically, this is theta/360 * 2 * pi * r

where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm

Thus, we have

135/360 * 2 * 22/7 * 10 = 23.57 cm

Adding two radii to this, we have;

23.57 + 2(10)

= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place

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3 years ago
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zaharov [31]
No it’s not a jelly or a jam
5 0
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Function tables are?
givi [52]

Answer:

a table that describes a function by displaying inputs and corresponding outputs in tabular form

Step-by-step explanation:

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3 years ago
the length of one leg of a right triangle is 6 feet. the length of the hypotenuse is 2 ft longer than the other leg. Find the le
Minchanka [31]

Answer:

The missing leg is 8 feet and the hypotenuse is 10 feet.

Step-by-step explanation:

Use the Pythagorean theorem which is A²+B²=C².

So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².

Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².

Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.

Now we can figure out that 4B=32.

Now isolate the variable, B, by divide both side of 4B=32 by 4.

This gives us B=8.

So the other side is 8 feet.

Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.

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3 years ago
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