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3 years ago

Find the area of the right triangle.. height is 8cm and the hypotenuse is 10cm

2 answers:

8 0

Area of a triangle is one-half times base times height so the answer is 24 and I got the base by using the pythagroem therom

katrin [286]3 years ago

5 0

Alright!

The formula of area of a triangle is base x height /2

so you're given the height and hypotenuse.

Do the reverse of the pythagorean theorem to find the base

a^2= c^2 -b^2

c^2 is the hypotenuse and b^2 is the height

a^2= 10^2 - 8^2
a^2 = 100 - 84
a^2 = 16
a= (square root the 16)
a= 4 cm

now put these numbers into the formula for area of a triangle
bxh / 2
(4x8)/ 2
= 16 cm squared !!

hope that makes sense :)

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A ladder is leaning against a building so that the top of the ladder is touching the roof line. The bottom of the ladder is 8 fe

Scorpion4ik [409]

Answer: 15 ft

Step-by-step explanation:

I took the test :)

4 0

2 years ago

The difference of the quotient m and 9 and the quotient of n and 30

Zanzabum

Answer: (30m-9n)/270

First we start with m/9-n/30.

We multiply the denominators to get 270.

Then we multiply the numerators by the original denominators to get (30m-9n).

To check, we can use m=2, and n=4

2/9-4/30=4/45

(30*2-9*4)/270=24/270=4/45

5 0

3 years ago

What is the arc length if the radius is 12 cm?*

ladessa [460]

Answer:

4π cm

Step-by-step explanation:

The length of an arc of a circle with radius r and central angle θ is given by ...

s = rθ

where θ is in radians.

Here, your arc measures 60° = π/3 radians, so the arc length is ...

s = (12 cm)(π/3) = 4π cm

4 0

3 years ago

78 : 120 :: ? : 66 please give answer with explanation

yawa3891 [41]

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0

2 years ago

The product of two consecutive integers is 5 more than three time the larger. What are the integers?

kvasek [131]

When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.

Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!

So the integers are -7 and -6.

7 0

3 years ago