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Ira Lisetskai [31]
4 years ago
7

Each vertical cross-section of the triangular prism shown below is an isosceles triangle.

Mathematics
1 answer:
vova2212 [387]4 years ago
5 0

Answer:

Height is 3

Step-by-step explanation:

4.24 x 4.24 x 6

Right triangle base = a + b + c

                         a^2 + 3^2  =  4.24^2

= a^2 + 9                             = 17.98

We cross out b to subtract.

                                   a^2  = 17.98 - 9

                                    a^2 = 8.98

We then square         √a^2 = √8.98

                                    a = 2.996

We round up               a = 3                                

We have found the height is 3

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An 8.0 kg block is moving at 3.2 m/s. A net force of 10 N is constantly applied on the block in the direction of its movement, u
Softa [21]

Answer:

5.02 m/s

Step-by-step explanation:

We are given that

Mass of block,m=8 kg

Initial velocity,u=3.2 m/s

Net force ,F=10 N

Distance,s=6 m

We have to find the approximate final velocity of the block.

We know that a=\frac{F}{m}

Using the formula

a=\frac{10}{8}=\frac{5}{4} m/s^2

We know that

v=\sqrt{u^2+2as}

Using the formula

v=\sqrt{(3.2)^2+2\times \frac{5}{4}\times 6}

v=5.02 m/s

8 0
3 years ago
What is the slope-intercept form of the line passing through the point (2, 1) and having a slope of 4?
patriot [66]

Answer:

1=4(2)-7

Step-by-step explanation:

y=mx+b

b=where it crosses the y-axis

m=slope

1=4(2)-7

6 0
3 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. Complete the statement. The solutions of sin2x= √3/2
alex41 [277]

Answer:

henc X = 30°

Step-by-step explanation:

here is the proof

when X=30° then

sin2x = sin2×30

=sin 60°

= √3/2

or else,

putting value of X = 30° then

sin2x= 2sinxcosx

= 2×sin30°×cos30°

=2×1/2×√3/2

= 2√3/4

= √3/2

hence proved sin2x= √3/2.

7 0
3 years ago
What is the measure of Arc BA? An explanation would be much appreciated.
yKpoI14uk [10]

Answer:

m<BA = 180degrees

Step-by-step explanation:

First you must know that measure of <BA is 180 degrees and m<CD = m<BA

Since <CD = 16z - 12, hence;

180 = 16z - 12

16z = 180++12

16z = 192

z = 192/16

z = 12

Get <BA

m<BA = 16z - 12

m<BA = 16(12) - 12

m<BA = 192 - 12

m<BA = 180degrees

8 0
3 years ago
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