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3 years ago

Calculate the are of this triangle with the base18cm height 14 and inside 11cm

Mathematics

1 answer:

tester [92]3 years ago

7 0

Answer:

99cm^2

(99cm squared)

Step-by-step explanation:

18 x 11 which is 198 cm

divide that by 2 which is 99

area of the triangle is 99cm^2

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What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

olasank [31]

The y intercept of a graph containing the two points (3,1) and (7,-2) is $\frac{13}{4}$

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here the points are (3, 1) and (7, -2)

$(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)$

Substituting in formula, we get

$m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}$

To find the y intercept:

$\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }$

$1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}$

Thus y -intercept is $\frac{13}{4}$

5 0

3 years ago

Help I can’t solve this at all

qwelly [4]

<h2>Answer: </h2>

We know that,

Length of arc = 2πrθ/360

Length of arc = 2 × 3.14 × 6 × 45/360

Length of arc = 6.28 × 3/4

= 18.84/4

= 4.71units.

8 0

3 years ago

If the mean weight of 4 backfield members on the football team is 222 lb and the mean weight of the 7 other players is 198 lb, w

hoa [83]

To find the Mean or Average you have to add up all numbers it is asking for which in case are 222 and 198.

so you will add 222+198

That will equal 420

Then you will divide with the amount added together which is 2

420/2=210

so the mean of the 11 people is 210 or 210lbs

5 0

3 years ago

If the length of side a is 12 centimeters, measure of angle B = 36 degrees and measure of angle C = 75 degrees , what is the len

Fofino [41]

The length of side b is 7.61 m.

Here's how the length was calculated:

Let:

length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees

In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.

A = 180 - (36 + 75) = 69 degrees

by using the law of sines:

a / sin A = b / sin B = c/ sin C

we will substitute the given values:

12 / sin (69) = b / sin (36)

b = unknown

12 / 0.93 = b / 0.59

12.9 = b / 0.59

b = 12.9 * 0.59

b =7.61 cm (length of side b)

6 0

3 years ago

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (

vfiekz [6]

We are given with three lengths of a triangle expressed in terms and variables: (3x – 4) feet, (x^2 – 1) feet, and (2x^2 – 15) feet. The perimeter of the triangle is equal to the sum of the three sides of the triangle. In this case, the sum is 3x^2 + 3x -20. When x is equal to 4, we substitute 3*16 + 3*4 -20 equal to 40 feet.

4 0

3 years ago