Answer:
21.001 cm
Step-by-step explanation:
The diagram shows right triangle with
Hypotenuse ZY = 22.3 cm
Leg XY = 7.5 cm
By the Pythagorean theorem,
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the stu
2 answers:
Answer:
Width of the model is:
17.5 in
Step-by-step explanation:
The length of the classroom is 2.4 times its width.
Length=2.4×width
The length of the student's model is 42 in.
Let w be the width of student's model.
By using the equation Length=2.4×width , we get
42=2.4×w
⇒
⇒ w=17.5
Hence, width of the model is:
17.5 in
You might be interested in
Answer:
481
Step-by-step explanation:
There are several ways you can get there.
1. There are only 13 numbers, so you can write them down and add them up.
25 + 27 + 29 + ... + 47 + 49 = 481
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2. You can use the formula for the sum of an arithmetic sequence. This one has a starting value of 25, an ending value of 49, and 13 terms.
Sum = ((start) + (end))/2 × (number of terms) = (25 +49)/2×13 = 481
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3. You can use a formula for the terms of the series and evaluate the sum.
an = 25 +2(n -1) = 2n +23
Answer:
65°
Step-by-step explanation:
The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).
Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:
m∠1 + m∠2 = 180°
m∠1 + 115 = 180
m∠1 = 180 - 115
m∠1 = 65°
