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3 years ago

Line g has a slope of 7/9. Line h is perpendicular to g. What is the slope of line h ?

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Answer:

The slope of line h is -9/7

Step-by-step explanation:

mathematically, for two lines that are perpendicular to each other, the product of their slopes is equal to -1

say we have two lines l1 and l2, the product of their slopes m1 and m2 is -1

Mathematically;

m1 * m2 = -1

now, m1 here is 7/9 , we now proceed to calculate m2

7/9 * m2 = -1

7m2/9 = -1

7m2 = -9

m2 = -9/7

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steposvetlana [31]

Answer:

or 2/3

Step-by-step explanation:

because two flips out of 3 all together is 2/3

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2 years ago

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A gardener found that he was able to plant 1/4 of a packet of flower seeds in 1/5 of a garden.At this rate how much of the garde

telo118 [61]

Answer: $\frac{4}{5}$ of garden.

Step-by-step explanation:

Given: The area covered by $\frac{1}{4}$ of a packet of flower seeds= $\frac{1}{5}$ of a garden.

The area covered in 1 packet= $4\times\frac{1}{5}$

⇒The area covered in 1 packet= $\frac{4}{5}$ of garden.

Thus, the entire packet of seeds would cover $\frac{4}{5}$ of garden.

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3 years ago

The perimeter of rectangle is 48ft the length is 16 from. Whats is the area?

solniwko [45]

Answer:

128

Step-by-step explanation:

There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.

7 0

2 years ago

Find the Area of the figure below, composed of an isoceles trapezoid and one

MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can find the total area dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then

step one

find the area of the isosceles trapezoid using

$A=\frac{a+b}{2}*h$

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

$A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14$

Step two

find the area of the semicircle

the area of a circle is given by

$A_{c}=\pi \frac{d^{2}}{4}\\$

but, we need the area of half circle, we need divide this by 2

$A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}$

now the diameter of the semicircle is 2, put this value into the equation

$A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\$

find the total area

total area= area of the trapezoid +area of the semicircle

$total\ area= 14+\frac{\pi }{2} \\total\ area=15.6$

so, the total area is 15.6 square units

Have a good day.

5 0

3 years ago

The measure of an angle is twenty-four times the measure of its complementary angle. What is the measure of each angle?

Bogdan [553]

Answer:

Step-by-step explanation:

24x - measure of an angle

x - the measure of a complementary angle

Complementary angles adds to 90°

x + 24x = 90°

25x = 90°

x = 90°÷25

x = 3.6°

24x = 24·3.6° = 86.4°

7 0

3 years ago