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3 years ago

Anyone know the answer?? ( I got confused half way)

Mathematics

2 answers:

Liula [17]3 years ago

8 0

Yes the answer is eight and three forths

weqwewe [10]3 years ago

7 0

The answer is 8 and 3 fourths which would be written as 8 3/4

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34/23 as a decimal rounded to the nearest tenth

Ainat [17]

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

4 0

3 years ago

Ciara is making a new dance outfit for a dance performance in her high school. She needs 2 1/2 yards of fabric for the shawl. Sh

sergey [27]

Answer:

1 1/4 yards of fabric

Step-by-step explanation:

2 1/2+ 1 3/4=4 1/4

4 1/4 - 3 = 1 1/4

8 0

3 years ago

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago

Robert has 60 feet of fence to make a dog pen. He will use the house for one side of the pen, as shown above. What dimensions wi

irinina [24]

The formula for an area of a regular parallelogram is:

A = l * w

Where,

l = length

w = width

We are given that the total measurement of fence is only 60 feet and one side of the house is used as one side of the pen. Therefore,

l + 2 w = 60

or simplifying to make an explicit expression for one variable, say l:

l = 60 – 2 w

Substituting to the 1st equation:

A = (60 – 2 w) * w

A = 60 w – 2 w^2

The maxima are obtained by getting the 1st derivative then equating dA/dw = 0:

dA/dw = 60 – 4 w

60 – 4 w = 0

4 w = 60

w = 15

Since l = 60 - 2w

l = 60 – 30

l = 30

Therefore the dimension that will make the largest pen is 15 ft by 30 ft.

ANSWER: C

7 0

3 years ago

Exercise 30 please , show work

ArbitrLikvidat [17]

$-8(2a-3b)-5(6b-4a)=\\=-8 \times 2a -8 \times (-3b)-5 \times 6b-5 \times (-4a)= \\
=-16a+24b-30b+20a= \\
=20a-16a+24b-30b= \\
=(20-16)a+(24-30)b= \\
=4a-6b$

3 0

3 years ago

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