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3 years ago

ABCD=STQR. What is the measurement of CD?

Mathematics

2 answers:

vaieri [72.5K]3 years ago

7 0

Answer:

CD= 21 in

Step-by-step explanation:

CD is the same length as QR

QR= 21

USPshnik [31]3 years ago

6 0

Step-by-step explanation:

$\because \: ABCD=STQR...(Given) \\ \\ \therefore \: CD = QR \\ \\ \because \: QR = 21 \: in \\ \\ \huge \red{ \boxed{\therefore \: CD =21 \: in }}$

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3 years ago

The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what

nasty-shy [4]

<h2>Explanation:</h2><h2></h2>

The volume of a cone can be found as:

$V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ V:Volume \\ \\ r:radius \ of \ base \\ \\ h:height$

Given the radius and height, we can find the volume of the cone:

$V=\frac{1}{3}\pi r^2 h \\ \\ V=\frac{1}{3}\pi (1.25)^2(2.75) \\ \\ V=\frac{1}{3}\pi(1.5625)(2.75) \\ \\ V\approx 4.5in^3$

The volume of a sphere is:

$V=\frac{4}{3}\pi r^3 \\ \\ \text{Each gum ball has a diameter of 0.5in, so the radius is:} \\ \\ r=\frac{0.5}{2}=0.25in$

So, for each gum ball the volume is:

$V=\frac{4}{3}\pi r^3 \\ \\ V=\frac{4}{3}\pi (0.25)^3 \\ \\ V=0.065in^3$

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3 years ago

A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.

Zarrin [17]

Answer:

Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π $r^{2}$ )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π $r^{2}$ , for a total of 2π $r^{2}$ . The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2π $r^{2}$ + 2πrh.

2π $r^{2}$ + 2πrh = 600

π $r^{2}$ + πrh = 300

πrh = 300 - π $r^{2}$

h = (300 - π $r^{2}$ )/πr

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2 years ago