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DanielleElmas [232]

3 years ago

8

Help, I need to know this extension.

1 answer:

Lorico [155]3 years ago

7 0

Answer:

10

Step-by-step explanation:

We know that area is 50km^2 and to find area we know the formula it is Area = base * height, 50 = b*5, so b must be 10

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(6x – 30° and m

k0ka [10]

9514 1404 393

Answer:

48°

Step-by-step explanation:

Supplementary angles total 180°.

m∠A +m∠B = 180°

(6x -30)° +(8x +28)° = 180°

14x = 182 . . . . . . . . . . . . . . . . divide by ° and add 2

x = 13 . . . . . . . . . . . . . . . . . . . .divide by 14

Then the measure of angle A is ...

m∠A = (6·13 -30)° = 6(13 -5)° = 6·8°

m∠A = 48°

3 0

3 years ago

Three freshmen, 3 sophomores, 3 juniors, and 3 seniors are participating on the debate team. The team's captain is randomly sele

slega [8]

Answer:

C) $\frac{3}{4}$

Step-by-step explanation:

Given:

Number of freshmen = 3

Number of sophomores =3

Number of juniors =3

Number of seniors = 3

The team's captain is randomly selected from any grade level.

To find the the probability that a freshman will not be selected as captain.

Solution:

Total number of members in the team = $3+3+3+3$ = 12

Probability that a freshman will be selected as captain will be:

⇒ $\frac{Number\ of\ freshmen}{Total\ members}$

⇒ $\frac{3}{12}$

Reducing to simple fraction by dividing numerator and denominator by 3.

⇒ $\frac{3\div3}{12\div 3}$

⇒ $\frac{1}{4}$

Thus, probability that a freshman will not be selected as captain will be given as:

⇒ $1-\frac{1}{4}$

Taking LCD.

⇒ $\frac{4}{4}-\frac{1}{4}$

Subtracting the numerators.

⇒ $\frac{3}{4}$ (Answer)

4 0

3 years ago

Read 2 more answers

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

June made a design with six equal tiles one tile is yellow two tiles are blue and three tiles are purple. What fraction of the t

notka56 [123]

2/3 because you add 3( the purple tiles) and 1 (he yellow tiles) and you get 4. Then you put that over 6 to get4/6 and then you divide both by 2 to get 2/3

3 0

3 years ago

A regular polygon has an interior angle of 172º.<br> Find the number of sides of this polygon.

SashulF [63]

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.

3 0

4 years ago