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3 years ago

15

there are two triangles one has a base of 8 cm and a height of 10 cm the other has a base of 5 cm and a height of 13 cm which tr

iangle has a larger area

2 answers:

tino4ka555 [31]3 years ago

7 0

Triangle 1 has a greater area! This is because 40 is greater than 32.5.

Please mark as brainliest!

aleksklad [387]3 years ago

3 0

Area of a triangle

1/2*b*h

Triangle 1: 1/2 * 8 * 10 = 40cm^2

Triangle 2: 1/2 * 5 * 13 = 32.5cm^2

40 > 32.5

<h2>So Triangle 1 has a larger area.</h2>

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

<em>Find the value of b</em>

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

<em>Find the value of b</em>

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

<u><em>Find the slope</em></u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

<em>therefore</em>

The equation of the line is

$y=4$

6 0

3 years ago

Please help and explain

bagirrra123 [75]

Answer:

See below

Step-by-step explanation:

The three angles inside of the triangle sum to 180

11x + 4 + 3x + 78 = 180

14x +82 =180

x = 7

then B = 11x + 4 = 11(7) + 4 = 81 degrees

C = 3x = 21 degrees

5 0

2 years ago

Read 2 more answers

Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

7 0

3 years ago

Hi please help me, i’ll give brainliest

Licemer1 [7]

Answer:

lol dont u love these answers.

the answer is: NO SOLUTION

Step-by-step explanation:

i swear these are the most annoying lol.

please give me brainliest

btw try using math_way for a future reference.

have a good day!

8 0

2 years ago

Find the missing number to make these fractions equal three fourths equal blank over eight

zysi [14]

Your answer is six. 3/4=6/8

3 0

3 years ago

Read 2 more answers