This is my last assignment, pls help

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

What is the slope for the line AB if A(4,-7) and B(-2,-7)?

OLga [1]

Answer:

Slope: 0

Step-by-step explanation:

We have to find the slope of the line with the given points.

To find the slope, we would use the slope formula: m = y2-y1/x2-x1, where as "m" is the slope.

Plug in your coordinates and solve.

Solve:

m = -7 - (-7)/-2 - 4

m = -7 + 7/-2 - 4

m = 0/-6

Divide -6 from 0.

m = 0

You would notice that we have a "0" in our slope. There is no "rise" in the slope.

This means that the slope of our line would be 0.

8 0

3 years ago

I’m stumped, can anyone please help me understand this

rodikova [14]

Answer:

B. Store T sells apples at the lowest rate

Step-by-step explanation:

Store R sells apples at $1.20 per pound.

Store S sells 4 pounds of apples at $5.00.

Store T sells 3 pounds of apples at $3.48.

To find the answer, you have to find the unit price for both Store S and Store T.

For Store S: 4 pounds = $5. Divide the cost by the pounds. This will give us $1.25 per pound.

For Store T: 3 pounds = $3.48. Same thing as Store S, divide the cost by the number of pounds. This will give us 1.16 per pound.

Now, we know the unit prices for each store. It's time to answer the question.

A. Store R sells apples at the lowest rate.

This is incorrect because the store that sells the apples at the lowest rate is Store T.

B. Store T sells the apples at the lowest rate.

This answer is correct, but I'll also take a look at the other two

C. Store S charges a lower rate for apples than Store T.

Again, this is incorrect because Store T sells apples at the lowest rate.

D. Store T charges the same rate for apples as Store R.

Nope, Store T sells the apples at a lower rate than Store R.

This means your answer will be B. Store T sells apples at the lowest rate.

<h2>I hope this helped you understand the question!</h2>

6 0

3 years ago

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilateral is

aleksandrvk [35]

Answer:

70/5985

Step-by-step explanation:

We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.

3 0

3 years ago

Someone plz help me I’ll mark as brainliest and 44 points

Harrizon [31]

I think it's the 2nd one.....p=24c

3 0

3 years ago

Read 2 more answers