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ddd [48]
2 years ago
9

A. 80 B. 50 C. 70 D. 60

Mathematics
1 answer:
sesenic [268]2 years ago
8 0

Answer:

B) 50

Step-by-step explanation:

40 + 50 = 90.

A right angle is 90 degrees.

90-40 = 50.

The pic below explains how a right angle looks like.

Hope this Helps...

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What is the value of x in the following equation?<br> 2 (x - 4) + 15 = 21
viktelen [127]
The answer would be x=7.
5 0
3 years ago
A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a
Setler [38]

Answer:

=0.3 per km²

Step-by-step explanation:

Population density is the population per uni area.

Area=πr² Where A is area and r is the radius of the circle.

A=3.14×34

=106.76km²

Population density = Population/Area

=32 antelopes/106.76 km²

=0.3 per km²

The population of antelopes within the given radius is 0.3 per km²

7 0
3 years ago
Complete this equation 2 2/3 +4/5= 40/? + 12/? = ?/?
OlgaM077 [116]

Answer:(7/8 - 4/5)^2 = 9

1600

= 0.005625

Step-by-step explanation:

Subtract: 7

8

- 4

5

= 7 · 5

8 · 5

- 4 · 8

5 · 8

= 35

40

- 32

40

= 35 - 32

40

= 3

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seven eighths minus four fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = (3

40

) ^ 2 = 32

402

= 9

1600

In words - three fortieths squared = nine one-thousand six-hundredths.

6 0
3 years ago
On a map, the distance between two towns is 3.4 inches. The map scale is 2 inches: 25 miles. What is the actual distance between
Mariulka [41]
For this question we can solve it by setting up a proportion:

\frac{2inches}{25 miles}= \frac{3.4inches}{x}

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:

2x=85
x=42.5miles

So now we know that the total distance between the towns is 42.5 miles.
4 0
3 years ago
A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend
anyanavicka [17]

Answer:

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ x_{1} = 8 and x_{2} = -4

∴ y_{1} = 0 and y_{2} = 6

∵ m=\frac{6-0}{-4-8}=\frac{6}{-12}

∴ m=-\frac{1}{2}

Substitute the value of m in the form of the equation

∵ y = m x  + b

∴ y = -\frac{1}{2} x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = -\frac{1}{2} x + 4

We can write -\frac{1}{2} x as -\frac{x}{2}

∴ y =  -\frac{x}{2} + 4

- Switch the two terms of the right hand side

∴ y = 4 -  \frac{x}{2}

The equation of Grant's path is y = 4 -  \frac{x}{2}

4 0
3 years ago
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