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3 years ago

This is a similar triangle please find the missing length. (?)

Mathematics

2 answers:

Helen [10]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{HG}{FG} =\frac{RQ}{PQ}$ , insert given values

$\frac{?}{36}=\frac{77}{84}$ , cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

Temka [501]3 years ago

6 0

Answer:

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

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The dimensions of a right rectangular prism are shown below. 1 in. 1a in. 2 in. in. How many cubes with side lengths of inch are

Dafna1 [17]

First we neeed to find the volume of the rectangular prism

$V=\text{ l}\times w\times h$ $V=1\times1\frac{1}{6}\times2\frac{1}{6}$ $=1\times\frac{7}{6}\times\frac{13}{6}$ $=\frac{91}{36}in^3$

Volume of cube with side lengths 1/6 = 1/6 x 1/6 x 1/6 = 1/216

The number of cubes needed to fill the prism without gaps or overlaps =

$=\frac{91}{36}\text{ divide by }\frac{1}{216}$ $=\frac{91}{36}\times\frac{216}{1}$ $=\frac{19656}{36}$ $=546$

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1 year ago

The point (3,0) lies on the graph of P(x)=x^3-7x^2+15x-9. True or False

swat32

Answer:

True

Step-by-step explanation:

We can plug in and see.

If (3,0) is on the graph of P, then P(3) will evaluate to 0.

Let's try it:

P(3)=(3)^3-7(3)^2+15(3)-9

P(3)=27-7(9)+45-9

P(3)=27-63+45-9

P(3)=-36+45-9

P(3)=9-9

P(3)=0

Since P(3)=0, then (3,0) is an ordered pair of P.

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3 years ago

Find the value of X. Show your work.<br><br> Congruent triangle

Stells [14]

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

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2 years ago

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$60 because he already bought the game but for other game $48

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3 years ago

Directions: Find the volume of each figure. Round to the nearest tenth if necessary.

balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

= (⅓)7²·16

≅ 261.3 ft³

:::::

Can't help with question 3. I haven't learned triangle-based pyramids.

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cone:

volume V = ⅓πr²h

= ⅓π17²·20

= 6052.8 yd³

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can't help with question 7. Never did this kind of pyramid.

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2 years ago