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katovenus [111]
3 years ago
7

Question 1

Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

30

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2

(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13

The perimeter of the triangle is 5 + 12 + 13 = 30

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The circumference of a circle is 113.04 centimetres. What is the circle's radius?
Drupady [299]

Answer:

18 centimeters

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

6 0
2 years ago
Christine has a bag of candy that contains 20 red pieces, 10 green pieces, 15 blue pieces, 25 brown pieces, and 10 orange pieces
andrew-mc [135]

Answer:

1/8

Step-by-step explanation:

20 + 10 + 25 + 15 + 10 =  80

10 / 80 = 1/8

4 0
1 year ago
How do I solve it. I don't understand where I should start the problem I have the formulas
Luda [366]
V=length times width times height
wait, we need it in yards
3ft=1yard
so height=1

v=45 times 30 times 1
v=1350 cubic yards
1 cubic yard=201.974 gallons
so times both sides by 1350
272664.9 gallons
per every 5000 gallons of water we have 1 of chlorine
so 272664.9/5000=54.53298
so we need about 54.5 gallons or 55 gallons of cholrine




4 0
3 years ago
PLEASE HELP! is slope = undefined the same as y = 0?
olchik [2.2K]
An undefined slope is NOT the same as y= 0, since it is a vertical line. The x-coordinate never changes even if the y-coordinate is different. There is no run.
7 0
3 years ago
Allison claims that the (triangle)ABQ is similar to (triangle)RPQ, given that AB and PR are parallel. Which of Allison's claims
S_A_V [24]
I draw the two triangles, see the picture attached.

As you can see, angle 1 and 2 are vertically opposite angles because they are formed by the same two crossing lines and they face each other.

Angles <span>ABQ and QPR, as well as angles BAQ and QRP, are alternate interior angles because they are formed by </span><span>two parallel lines crossed by a transversal, and they are inside the two lines on opposite sides of the transversal.</span>

Hence, Allison's correct claims are:
1 = 2 because they are vertically opposite angles. 
BAQ = QRP because they are alternate interior angles. 

Therefore Allison, in order to prove her claim, can use the AA similarity theorem: if two angles of a triangle are congruent to two angles of the other triangle, then the two triangles are similar. 

3 0
3 years ago
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