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2 years ago

I need help with 12 and 14

Mathematics

1 answer:

vazorg [7]2 years ago

3 0

Answer:

12.) 14.4 mm

14.) 16.6 cm

Step-by-step explanation:

you use Pythagorean theorem for both

12.) 8mm^2 + 12mm^2 = 208 mm

then you are going to take the root

√208 = 14.4 mm

14.) 11.4cm^2 + 12.2cm^2 = 273.96 cm

√273.96 = 16.6

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The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a

zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

$Area = \frac{1}{2}\times Base \times Height$

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

$Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0$

This is a quadratic equation which can be solved using a quadratic equation as shown below:

$h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25$

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0

3 years ago

Which pair of points have a slope of -3/5?

Allushta [10]

Answer:

No of these answers has a slope of $\frac{-3}{5}$ . My guess is B becasue its close to $\frac{-3}{5}$ unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

( $x_{1}$ , $y_{1}$ ), ( $x_{2}$ , $y_{2}$ )

(4, 0), (-2, 10) $\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}$ you have to simplfy, the answer will be $\frac{5}{3}$

(10, -2), (0, 4) $\frac{4 - -2 }{0- 10 }= \frac{6}{-10}$ you have to simplfy, the answer will be $\frac{3}{-5}$

(4, 2), (10, 4) $\frac{4 - 2 }{10 - 4 }= \frac{2}{6}$ you have to simplfy, the answer will be $\frac{1}{3}$

(-4, -10),(0, -2) $\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}$ you have to simplfy, the answer will be $\frac{2}{1} =2$

5 0

2 years ago

Whats 3/5 divided by2. I need help on bell work

jasenka [17]

$\frac{3}{5}$ ÷2= $\frac{3}{10}$

5 0

2 years ago

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F(r-2)=6(r-2)+7=6r-12+7

Gre4nikov [31]

Answer: D=22

Step-by-step explanation:

this is because if multiply f by r you get D and then you do all the other rmathematics and you wind up with 22

3 0

2 years ago

(1,4) and m= -2 write in line slope intercept form help pls

nevsk [136]

Y=-2x+6 hope this helps

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2 years ago

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