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Serggg [28]
3 years ago
10

Find the volume of the triangular prism. Round to 1 decimal place

Mathematics
2 answers:
aleksley [76]3 years ago
5 0

Answer:

 =579.1 cm^3

Step-by-step explanation:

V = Bh

We need to find the area of the base

The base is the triangle

B = 1/2 bh

We can find the length of the bottom by using the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + b^2 = 14^2

b^2 = 14^2 - 9^2

b^2 = 115

Taking the square root

b = sqrt(115)

B = 1/2 bh

   =1/2 sqrt(115) *9

B =48.25712383

V = Bh

V = 48.25712383 * 12

   =579.0854859

To the nearest tenth

   =579.1 cm^3

AveGali [126]3 years ago
4 0

Answer:

579.1 cm^3

Step-by-step explanation:

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Solve for x using the given diagram
blagie [28]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

\dfrac{8x}{10}=\dfrac{4}{5x}              <em>cross multiply</em>

(8x)(5x)=(4)(10)

40x^2=40           <em>divide both sides by 40</em>

x^2=1\to x=\sqrt1\\\\x=1

7 0
3 years ago
Point A lies outside of plane P. How many lines can be drawn perpendicular to plane P through point A?
Ivanshal [37]

<em>Answer</em>


D) 1


<em>Explanation</em>

A perpendicular line makes a angle of 90° with a line or a plane.

If a line is to be drawn from a point to a line or a plain it can only be one. In this case a line is to be drawn through a point A to a plane P. If the line is to be perpendicular, then is is only one.


From the choices, the appropriate answer is D) 1

3 0
3 years ago
Read 2 more answers
Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
Leno4ka [110]

Answer:

a = \sqrt{7}

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

a^2+b^2=c^2

Given that: b=3 and c=4

a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7

so a = \sqrt{7}

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

Please have a look at the attached photos.

3 0
3 years ago
What is the value of x using the two transversal proportionality corollary? 9cm 11cm 22cm 27cm
almond37 [142]
I just took the test the answer is 9 cm.
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3 years ago
Mr. Clark traveled 456.4 km in 14 days.
xeze [42]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

<h3><u>Distance travelled each day is</u> : </h3>

  • 32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

\qquad \sf  \dashrightarrow \: 14 \times x = 456.4

\qquad \sf  \dashrightarrow \: x = 456.4 \div 14

\qquad \sf  \dashrightarrow x = \: 32.6  \: \: km

So, he travels 32.6 km per day

5 0
2 years ago
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