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erica [24]
2 years ago
10

Find the missing pieces of the triangle round to the nearest tenth ​

Mathematics
1 answer:
loris [4]2 years ago
6 0

Answer:

Step-by-step explanation:

- sum of inner angles of a triangle = 180 degrees

angle A = 180 - (90+23) = 180 - 113 = 67 degrees

- sin (23) = 0.390731

sin = opposite/hypotenuse

opposite = sin * hypotenuse

AC = 0,390731 * 34 = 13.3

- cos (23) = 0,920505

cos = adjacent/hypotenuse

adjacent = cos * hypotenuse

BC = 0,920505 * 34 = 31.3

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Find the slope of the line through each pair of points.<br><br> 11) (-20, -4), (-12, -10)
antoniya [11.8K]

Answer:

slope= -6/8 or -3/4

Step-by-step explanation:

(-10-(-4)/(-12-(-20)= -6/8

3 0
2 years ago
The value of x + x(xx) when x = 2 is:
sveta [45]

Answer:

10

Step-by-step explanation:

X+x(xx)

X+x(x^2)

X+x^3

2+2^3

10

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3 years ago
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For what value of ‘a’ the number <br> 7<br> /a<br> is not a rational number​
andreyandreev [35.5K]

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zero

Step-by-step explanation:

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3 years ago
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Find the slope of the line <br> A. 4/3<br> B. -4/3<br> C. -3/4<br> D. 3/4
DENIUS [597]

Answer:

-3/4

Step-by-step explanation:

You could identify two points and used the slope formula given two points.

OR

You can just count from one point to another.

First step: Identify two points where the line crosses nicely.

I see one at the y-intercept (0,1) and another at (4,-2). So starting at the y-intercept, how much do we need to travel down to get to (4,-2).  Hopefully you say down 3, so the rise is -3.  Now how much to the right after traveling down 3 from (0,1) to we need to travel to get to (4,-2) .  Count the spaces...4 units right so the run is 4.

The slope is -3/4

4 0
3 years ago
The width of the rectangle is 1/4 the length. The perimeter of the rectangle is 225 feet. Find the length and width of the recta
Mariana [72]

Answer:

The length and width of rectangle are 90 feet and 22.5 feet.

Step-by-step explanation:

Let the,

  • \purple\star Length of rectangle be : x
  • \purple\star Breadth of rectangle be : x/4

Now, according to the question substituting all the given values in the formula to find the value of x :

\longrightarrow{\pmb{\sf{P = 2(L  +  W)}}}

  • > P = perimeter
  • > L = length
  • > W = width

\longrightarrow{\sf{P = 2(L  +  W)}}

\longrightarrow{\sf{225= 2 \bigg(x +   \dfrac{x}{4}  \bigg)}}

\longrightarrow{\sf{225= 2 \bigg(\dfrac{4x + x}{4}  \bigg)}}

\longrightarrow{\sf{225= 2 \bigg(\dfrac{5x}{4}  \bigg)}}

\longrightarrow{\sf{225= 2 \times \dfrac{5x}{4}}}

\longrightarrow{\sf{225= \dfrac{2 \times 5x}{4}}}

\longrightarrow{\sf{225= \dfrac{10x}{4}}}

\longrightarrow{\sf{10x = 225 \times 4}}

\longrightarrow{\sf{10x  = 900}}

\longrightarrow{\sf{x  = \dfrac{900}{10}}}

\longrightarrow{\sf{\underline{\underline{x  = 90}}}}

Hence, the value of x is 90.

Now, we know the value of x. So, calculating the length and width of rectangle :

  • \pink\star Length = 90 feet
  • \pink\star Width = 90×1/4 = 22.5 feet

\rule{300}{2.5}

6 0
2 years ago
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