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3 years ago

12

What is the area of a triangle with a base of 7 units and a height of 11 units?

2 answers:

Bogdan [553]3 years ago

8 0

The answer is b..........

den301095 [7]3 years ago

6 0

Answer:

B

Step-by-step explanation:

Area of a triangle formula: 1/2bh

1/2*7*11 = 38.5 sq units

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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

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

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

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

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

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

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

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

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

Triangle ABC is graphed in Quadrant I of a coordinate plane, and none of the vertices have an x-coordinate or

Ulleksa [173]

Answer:

Step-by-step explanation:

D. the corresponding sides of triangle ABC and triangle A'B'C' are congruent

because the sides do not change their length when we rotate the triangle

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3 years ago

Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?

nlexa [21]

Answer:

$749 each

Step-by-step explanation:

6 0

2 years ago

What is x - 3(1-x) = 47 - x

lozanna [386]

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 10

7 0

3 years ago

Find the additive inverse of 7/10

11111nata11111 [884]

$\huge\fbox{Hi~there!}$

Remember, a number's additive inverse is simply its opposite.

Let's say we have a number a.

The opposite of a is -a, and the opposite of -a is a.

Thus, the additive inverse of

$\displaystyle\frac{7}{10}$ is

$\displaystyle-\frac{7}{10}$

Hope it helps.

~Just a felicitous girl

#HaveAnAmazingDay

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

5 0

2 years ago