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KatRina [158]
3 years ago
6

Troy is building a rectangular garden that is 10 feet by 6 feet.What should be the length of the diagonals to ensure a 90 degree

angle?
Mathematics
2 answers:
qaws [65]3 years ago
4 0

Answer:

Length of the diagonals = 11.66 feet

Step-by-step explanation:

Troy is building a rectangular garden with dimensions 10 feet and 6 feet.

We have to calculate the length of the diagonals of the park to ensure a 90° angle.

As we know in a rectangle all angles are of 90° and both the diagonals are of same length.

Therefore by Pythagoras theorem we can find the diagonal of the rectangle.

Diagonal² = 10² + 6²

Diagonal = √(100+36) = √(136)

               = 11.66 feet

Therefore, length of the diagonals will be = 11.66 feet

mina [271]3 years ago
3 0
6^2 + 10^2 equals 11.67
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RoseWind [281]
It’s 102in sorry if I’m late to answer
6 0
3 years ago
A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the
Musya8 [376]

The total  number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

                 Seats filled by students are 570 seats

                 Which is 95% of the total number of seats in the theater

Step: 1

                Let, x - Total number of seats available in theater

                Percentage of seats filled, y= 95%

                Seats filled by students = 570

                Formula to calculate total number of seats in theater,

                          95% of seats  = \frac{95}{100}( x)    

                                         570 = 0.95 (x)

                                              x = \frac{570}{0.95}

                                                 = 600

                                              x = 600 seats

Step: 2

            Check for solution,

                            5% of seats  = \frac{5}{100} (600)

                                                  = (0.05 × 600)

                                                  = 30 seats

                    Total no. of seats = 5% of seats  + 95% of seats

                                                  = 30 + 570

                                         600 = 600

Result:

           The total  number of seats in the theater is 600 seats.

7 0
3 years ago
A survey of 70 students from a high school is conducted. From this sample, it is found that 58 students have sent a text message
Irina-Kira [14]
Number of students who have sent a text message only is given by the difference between those that have sent a text message and those that have done both.
i.e. Number of students who has sent a text message only = 58 - 12 = 46

Number of students who have uploaded a selfie only is given by the difference between those that have uploaded a selfie and those that have done both.
i.e. Number of students who have uploaded a selfie only = 21 - 12 = 9

The total number of students surveyed is 70.
Let the number of students who have neither sent a text message nor taken a selfie today  be x, then
46 + 9 + 12 + x = 70
67 + x = 70
x = 70 - 67 = 3

Therefore, 3 students neither sent a text message nor taken a selfie today.

The number of students that have sent a text message or have taken a selfie today is given by the sum of the number of students that have sent a text message and the number of students that have taken a selfie less the number of people that have done both.
i.e. number of students that have sent a text message or have taken a selfie today = 58 + 21 - 12 = 67.
7 0
3 years ago
HELP!
Alexxx [7]

Answer:

LIMIT

The policy will pay for up to

$100,000 of damage to

another person's property.

The policy will pay only

$100 per incident for a

tow truck

DEDUCTIBLE

The policyholder must pay

the first $1,000 of repair

expenses before insurance

will pay for anything,

PREMIUM

The policy offers coverage

for a cost of $178 per month

The policyholder must

pay $500 semiannually

to the insurance provider

Step-by-step explanation:

LIMIT is the maximum amount an insurer will pay toward a covered claim

DEDUCTIBLE is the amount paid out of pocket toward a covered claim

PREMIUM is the amount paid regularly to keep the policy in force.

6 0
3 years ago
Money of Rp. 24,000.00 can buy 3 kg of apples. If Anto buys apples with money
ss7ja [257]

Answer:

5 Kg of apples

Step-by-step explanation:

cost of apples per kg = 24000.00/3

=8000.00

amount of apples bought = 40000.00/8000.00

=5 Kg

He got 5kg of apples with Rp.40,000.00

8 0
2 years ago
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