All categories

3 years ago

What is the area of the right angle

Mathematics

1 answer:

daser333 [38]3 years ago

4 0

Answer:

3.84 inches squared

Step-by-step explanation:

The area of a triangle is given by the formula:

Area = 1/2 * base * height

In this problem, our side lengths are:

Base = 2.4 inches

Height = 3.2 inches

So, our area can be found:

Area = 1/2 * 2.4 * 3.2 = 3.84 inches squared

You might be interested in

The places X and Y are 76km apart on a highway one car starts from Y and other from X at the same time. If the cars travel in th

Julli [10]

Answer:

Fast car = 45.6

Slower car = 30.4

Step-by-step explanation:

Let the speed of the first car = x

Let the speed of the second car = y

Travelling towards each other.

x *1 + y*1 = 76 miles

x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.

Divide by 5

x - y = 76/5

x - y = 15.2 The speeds differ by 15.2

x + y = 76

x - y = 15.2

2x = 91.2

x = 45.6

y = 76 - 45.6 = 30.4

When the two vehicles speeds are multiplied by 5, the difference is 76 km

5 0

3 years ago

Suppose an arrow is shot upward on the moon with a velocity of 44 m/s, then its height in meters after tt seconds is given by h(

andreev551 [17]

Answer:

a. 38.19m/s

b. 38.605m/s

c. 38.937m/s

d. 39.0117m/s

e. 39.01917m/s

Step-by-step explanation:

The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:

$v_a_v_g = \frac{\Delta x}{\Delta t} =\frac{x_f-x_i}{t_f-t_i}$

Where:

$x_f=Final\hspace{3}distance\hspace{3}traveled\\x_i=Initial\hspace{3}distance\hspace{3}traveled\\t_f=Final\hspace{3}time\hspace{3}interval\\t_i=Initial\hspace{3}time\hspace{3}interval$

a. Let's find h(3) and h(4) using the data provided by the problem:

$h(3)=44(3)-0.83(3^2)=124.53=x_i\\h(4)=44(4)-0.83(4^2)=162.72=x_f$

The average velocity over the interval [3, 4] is :

$v_a_v_g=\frac{162.72-124.53}{4-3} =38.19m/s$

b. Let's find h(3.5) using the data provided by the problem:

$h(3.5)=44(3.5)-0.83(3.5^2)=143.8325=x_f$

The average velocity over the interval [3, 3.5] is :

$v_a_v_g=\frac{143.8325-124.53}{3.5-3} =38.605m/s$

c. Let's find h(3.1) using the data provided by the problem:

$h(3.1)=44(3.1)-0.83(3.1^2)=128.4237=x_f$

The average velocity over the interval [3, 3.1] is :

$v_a_v_g=\frac{128.4237-124.53}{3.1-3} =38.937m/s$

d. Let's find h(3.01) using the data provided by the problem:

$h(3.1)=44(3.01)-0.83(3.01^2)=124.920117=x_f$

The average velocity over the interval [3, 3.01] is :

$v_a_v_g=\frac{124.920117-124.53}{3.01-3} =39.0117m/s$

e. Let's find h(3.001) using the data provided by the problem:

$h(3.001)=44(3.001)-0.83(3.001^2)=124.5690192=x_f$

$v_a_v_g=\frac{124.5690192-124.53}{3.001-3} =39.01917m/s$

7 0

3 years ago

A full load for a small truck to haul is 2/3 ton of gravel. The truck is hauling 1/2 ton of gravel. Write a division sentence th

Romashka [77]

Answer:

The truck is hauling 3/4 of a full load

Step-by-step explanation:

we know that

2/3 ton of gravel represent the 100% of a full load

Find out how much of a full load the truck is hauling with 1/2 ton of gravel, using proportion

Let

x ----> the percentage of a full load

$\frac{(2/3)}{100\%}=\frac{(1/2)}{x}\\\\x=100\%(1/2)/(2/3)\\\\x=100\%(3/4)\\\\x=75\%$

Convert to fraction number

$75\%=\frac{75}{100}=\frac{3}{4}$

therefore

The truck is hauling 3/4 of a full load

6 0

4 years ago

What is the expression in factored form?

PIT_PIT [208]

Answer:

Step-by-step explanation:

3x^2+26+35

ac method

3x35=105

105/5=21

21+5=26

3x^2+5x+21x+35

x(3x+5)7(3x+5)

(x+7)(3x+5)

5 0

3 years ago

What is the value of j in the equation √ j √ j 14 = 3√ j 10?

mariarad [96]

The answer is 16.

The equation is:
√j + √j + 14 = 3√j + 10
2√j + 14 = 3√j + 10
14 - 10 = 3√j - 2√1
4 = √j

Now, we will square both sides of the equation:
4² = (√j)²
16 = j.

Therefore, j is 16.

3 0

3 years ago

Read 2 more answers