(u^4)^4 write without parenthesis

The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?(A)

ZanzabumX [31]

Answer:

A:102

Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC= $90^{\circ}$

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

$4a-5=2a+6$

$4a-2a=6+5$

$2a=11$

$a=\frac{11}{2}=5.5$

Substitute the values then we get

B(0,17) and C (12,17)

Distance formula

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

AB= $\sqrt{(0-0)^2+(17-0)^2}=17 units$

BC= $\sqrt{(12-0)^2+(17-17)^2}$

BC= $\sqrt{144+0}=\sqrt{144}=12$ units

Area of triangle = $\frac{1}{2}\times b\times h$

Substitute the values

Then we get

Area of triangle ABC= $\frac{1}{2}\times 17\times 12$

Area of triangle ABC=102 square units

Answer: A: 102

8 0

3 years ago

In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included

hichkok12 [17]

Answer:

The statistic for this case would be given by:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

Step-by-step explanation:

Infromation provided

n=100 represent the random sample selected

X=18 represent the people who rates Pepsi as being "concerned with my health"

$\hat p=\frac{18}{100}=0.18$ estimated proportion of people who rates Pepsi as being "concerned with my health"

$p_o=0.1$ is the value that reference to compare

z would represent the statistic

Hypothesis to test

For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

The satistic for this one sample proportion test is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

7 0

2 years ago

A bedroom wall is 32 m wide and 54 m long. What is the total area of the wall? A can of paint will cover 12 sq. meter. How many

Alenkasestr [34]

Answer:

288

Step-by-step explanation:

Area of the wall = width x length = 32 x 54 = 1728 sq m

The number of cans for 1 coat = 1728/12 = 144 cans

The number of cans for 2 coats = 144 x 2 = 288 cans

7 0

2 years ago

Help me please ill give brainliest give the CORRECT answer please

Neporo4naja [7]

Answer:

174 ft²

Step-by-step explanation:

Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.

The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:

6 ft + triangle base + 6 ft = 18 ft

triangle base = 18 ft - 12 ft = 6 ft

Then the area of the triangle is ...

A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²

__

Of course, the area of the rectangle is the product of its length and width:

A = LW = (18 ft)(9 ft) = 162 ft²

__

The total area of the figure is the sum of these:

area = triangle area + rectangle area

area = 12 ft² +162 ft²

area = 174 ft²

3 0

2 years ago

Describe the transformation that changes triangle ABC to triangle A'B'C

Nonamiya [84]

It is a down shift of 3.
Also written as (x, y-3)

4 0

2 years ago