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3 years ago

Please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

Answer:

The length of the hypotenuse is 26 inches

Step-by-step explanation:

The leg(brace) attached to the wall is 10 inches

Perpendicular = 10 inches

Your surfboard sits on a leg that is 24 inches.

Base = 24 inches

Formula : $Hypotenuse^2 = Perpendicular^2 +Base^2$

$Hypotenuse^2 = 10^2+24^2$

$Hypotenuse = \sqrt{10^2+24^2}$

Hypotenuse = 26

Hence the length of the hypotenuse is 26 inches

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What is the circumference of a circle with a diameter of 9 cm?

Kamila [148]

Answer:

the answer=28.27cm

using formula

c=2πr

d=2r

solving for c

C=πd

=π.9

=28.27

hope it help you

5 0

2 years ago

What is the measure of angle 1?

frutty [35]

Sum of all the interior angles = (5-2)x180 = 540°
540 - 100 - 120 - 100 - 90 = 130°
So the last unknown angle in the polygon is 130°

Sum of all the adjacent angles on a straight line is 180°
Angle 1 = 180 - 130 = 50°

3 0

2 years ago

One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that

inessss [21]

Let
x-------> the probability that a boy is chosen
B------> number of boys in the debate team
G------> number of girls in the debate team

we know that
B+G=20-----> G=20-B-----> equation 1
probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

the probability that a girl is chosen is 2/3 the probability that a boy is chosen
probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0

3 years ago

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 peopl

konstantin123 [22]

Answer: In first question, Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

In second question, The goal of $3050 fell by $710

Step-by-step explanation:

1. Since, Here d represents the number of adult tickets and s represents the number of student tickets.

And, all 500 seats are filled for a performance.

Therefore, s + d = 500 ------(1)

Also, the price of one adult's ticket = $8.50

The price of one student's ticket= $5.50

And, their is a revenue of $3050 by selling the tickets.

Thus, 8.50 d + 5.50 s = 3050 --------(2)

By solving the equation (1) and equation (2),

we get, s = 400, d=100

Thus, Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

2. According to the question,

s = 2 d ----- (3)

s + d = 360 -----(4)

By solving equation (3) and (4),

We get, s = 240 and d = 120

thus, the total revenue after selling 360 tickets = 8.50 × 120 + 5.50 × 240 = $2340

But, the goal is $3050 ( according to the question)

Thus the total fall = 3050 - 2340 = $710

6 0

3 years ago

Which system has no solution? A b c d

iren2701 [21]

System B has no solution.

8 0

3 years ago