All categories

2 years ago

Independent assessment 3

Mathematics

1 answer:

Akimi4 [234]2 years ago

8 0

It’s blurry!!!!!!!!!!!

You might be interested in

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

First, we find BD, where B(-1,4) and D(2,4).

$BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3$

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

$AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5$

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

$A=\frac{1}{2}\times {\text{base}}\times {\text{height}}$

$A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5$

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0

3 years ago

Read 2 more answers

Express 0.70330.70330, point, 7033 as a fraction.

lisov135 [29]

Answer:

7033 / 10 000

Step-by-step explanation:

x = .70330

10 000 x = 7033.0 divide both sides by 10 000

x = 7033 / 10 000

6 0

2 years ago

In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 2

serg [7]

Answer: 233 people per thousand

Step-by-step explanation:

Using extrapolation method,

if 150/k in 1950,

200/k in 1990,

275/k in 2020,

2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.

Therefore,

(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)

Where x is the number of retirees per thousand for 2003

Making x the subject of relation in the above equation.

Cross multiply the equation above;

(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)

13(275 - x) = 17(x-200)

3575 - 13x = 17x - 3400

Collect the like terms

3575+3400 = 17x + 13x

30x = 6975

x = 6975/30

x = 232.5

x = 233 people per thousand to the nearest integer

6 0

2 years ago

Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed

Rufina [12.5K]

Laurel needs 210.5 feet of fence

3 0

3 years ago

Steven answered 76% of the questions correctly on a test. Enter the percent of the questions Steven did not answer correctly

ziro4ka [17]

24% of the questions were not answered correctly

3 0

2 years ago