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12345 [234]
2 years ago
15

Insert each of the following numbers between two consecutive multiples of 5: 13 37 48 61 93

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0
10 (13) 15
35 (37) 40
45 (48) 50
60 (61) 65
90 (93) 95
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Abcd is a rectangle if DB=26 and DC=24 find bc
Anettt [7]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
7 0
3 years ago
Angie bought 3 1/2 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?
pantera1 [17]

Answer:

56 ounces

Step-by-step explanation:

8 0
2 years ago
Sam has 79 model cars. He wants to give them to 4 of his friends. He wants each friend to have an equal number of cars. How many
Marat540 [252]

Answer:

So if he has 24 friends and each one got 4 then he would have 1 cars left for himself.

Step-by-step explanation:

7 0
3 years ago
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Integration of the following function
DerKrebs [107]

Answer: None of the above

Step-by-step explanation:

Given

\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}

d\bar{c}=\left (  -6x^{-2}+\frac{1}{6}\right )dx

Now, integrating both sides

\int d\bar{c}=\int \left (  -6x^{-2}+\frac{1}{6}\right )dx

\bar{c}=-6\frac{x^{-2+1}}{-2+1}+\frac{1}{6}x+k_1

\bar{c}=6x^{-1}+\frac{1}{6}x+k_1

6 0
3 years ago
Jeremiah made .25 per ounce of lemonade sold.If he sold all of his lemonade, how much money did he make?
yawa3891 [41]
How many ounces of lemonade was there in total? Once you get that divde by .25
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