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scoray [572]
3 years ago
8

What is the volume of a right rectangular prism when the height is 11 m and the area of the square base is 9m 2 ?

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

The answer to your question is: 99 m²

Step-by-step explanation:

Data

height = 11 m

area of the square base = 9 m²

Formula

Volume of a right rectangular prism = area of the base x height

                                                           = 11 x 9     substitution

                                                           = 99 m²

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Question 2(Multiple Choice Worth 5 points)
KengaRu [80]

I believe the correct answer to this question is 42 and 288. If im not wrong.

8 0
3 years ago
In ΔDEF, the measure of ∠F=90°, FE = 21, DF = 20, and ED = 29. What is the value of the cosine of ∠E to the nearest hundredth?
luda_lava [24]

Answer:

43.60°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29

As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side

Cosine ∠E = 21/29

∠E = cos-1 0.724137931

∠E = 43.60° to the nearest hundredth

8 0
3 years ago
Read 2 more answers
Please help I’m very confused
KATRIN_1 [288]

Hello! The interquartile range would be 5°

You must subtract Quartile one from quartile 3 to find iqr

3 0
4 years ago
Evaluate r=5
Salsk061 [2.6K]

Answer:

\sum (r+1)^2 = 90

Step-by-step explanation:

Given

\sum (r+1)^2; r = 1,2....5

Required

Evaluate

\sum (r+1)^2; r = 1,2....5 is equivalent to :

(1 + 1)^2 +(2 + 1)^2 +(3 + 1)^2 +(4 + 1)^2 +(5 + 1)^2

(2)^2 +(3)^2 +(4)^2 +(5)^2 +(6)^2

4 + 9 + 16 + 25 + 36

90

Hence:

\sum (r+1)^2 = 90

4 0
3 years ago
A. 207.5ft
julia-pushkina [17]

Law of cosines:

a^2 = b^2 + c^2 -2 *b*c*coa(a)

a^2 = 60.5^2 + 257^2 - 2*60.5*257*cos(31)

a^2 = 3660.25 + 66049 - 2 *60.5 * 257 * 0.857167

a^2 = 3660.25 + 66049 - 26655.33

a^2 = 43053.92

a = SQRT(43053.92)

a = 207.49 = 207.5 feet.


The answer is A.

6 0
3 years ago
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