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3 years ago

Find the volume of the cement block in the figure shown. Please help :)

Mathematics

1 answer:

Alexxandr [17]3 years ago

6 0

9514 1404 393

Answer:

1240 in³

Step-by-step explanation:

The overall dimensions of the block are ...

10 in by 11 in by 17 in

The volume of that space is ...

V = LWH = (10 in)(11 in)(17 in) = 1870 in³

The volume of each of the three identical holes is similarly found:

V = (10 in)(3 in)(7 in) = 210 in³

Then the volume of the block is the overall volume less the volume of the three holes:

= 1870 in³ - 3(210 in³) = 1240 in³

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

${x}^{5} {y}^{5}$

This implies that, r=5.

The terms in the expansion can be obtained using

$T_{r+1}=nC_ra^{n-r}b^r$

We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

$T_{6}=10C_5(2x)^{5}(3y)^5$

$T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5}$

Hence the coefficient is;

$10C_5(2)^{5}( - 3)^5$

5 0

3 years ago

Read 2 more answers

Word form for571082346090

Pie

571,082,346,090 in word form would be Five hundred seventy one billion eighty two million three hundred forty six thousand ninety.

7 0

3 years ago

Is b 90 degrees or do I have to do 180- something

larisa86 [58]

Answer:

90 degrees since its vertical angle

8 0

3 years ago

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Priya has picked 1 1/2 cups of raspberries which is enough for 3/4 of the cake how many cups does she need for the whole cake

Zina [86]

Answer:

So Priya need $2$ cups of raspberries for the whole cake.

Step-by-step explanation:

Given data;

$1\frac{1}{2}=\frac{3}{2}$ cups of raspberries which is enough for $\frac{3}{4}$ of the cake.

For making $\frac{3}{4}$ of the cake need $\frac{3}{2}$ cups of raspberries.

For making $1$ cake need $\frac{\frac{3}{2}}{\frac{3}{4}}$ cups of raspberries.

For making $1$ cake need $\frac{3}{2} \times \frac{4}{3}=2$ cups of raspberries.

∴ Priya need $2$ cups of raspberries for the whole cake.

3 0

3 years ago

HELP ME EVERYONE PLZ

yawa3891 [41]

Answer:

Option D. 23.4 pounds

Step-by-step explanation:

step 1

Find the pieces of glass for 22.5 pounds of copper in the sculpture.

using proportion

$\frac{12}{1}=\frac{x}{22.5} \\ \\x=22.5*12\\ \\x=270\ piece\ of\ glass$

step 2

Find the pounds of bronze used in the sculpture

using proportion

$\frac{6.5}{75}=\frac{x}{270} \\ \\x=270*6.5/75\\ \\x=23.4\ pounds$

7 0

3 years ago