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3 years ago

What is the solution to 4/a+5/3a<3

Mathematics

1 answer:

scoray [572]3 years ago

3 0

$\dfrac{4}{a}+\dfrac{5}{3a} < 3\ \ \ |-3\ \ \ assume\ a\neq0\\\\\dfrac{3\cdot4}{3a}+\dfrac{5}{3a}-\dfrac{3a\cdot3}{3a} < 0\\\\\dfrac{12+5-9a}{3a} < 0\\\\\dfrac{-9a+17}{3a} < 0\iff 3a(-9a+17) < 0\\\\3a=0\to a=0\\\\-9a+17=0\to a=\dfrac{17}{9}$
Look at the picture.
$Answer:\ a\in\left(0;\ \dfrac{17}{9}\right)$

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What does AD equal? PICTURE INCLUDED* Triangle congruence and similarity.

mafiozo [28]

Answer:

AD = 7

Step-by-step explanation:

Given that the two triangles are similar by the SSS (side side side) postulate, the triangles share the same ratios when it comes to their sides.

We know the values for lines DB, EB and CB, therefore we can solve for AB, and subtract DB to find AD

We can solve the problem by solving for x:

$\frac{x}{32} =\frac{21}{24}$

Cross multiply.

$24x = 672$

Simplify.

$x=28$

Subtract the value of DB to find AD.

$28-21=7$

$AD=7$

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2 years ago

Maureen measured a house and its lot and made a scale drawing. The scale she used was

PIT_PIT [208]

The most appropriate choice for unitary method will be given by-

Length of driveway in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to $\frac{1}{8}$ inch on scale

24 feet of room is equal to $\frac{1}{8} \times 24$ inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway in the drawing is 3 inch

To learn more about unitary method, refer to the link-

brainly.com/question/24587372

#SPJ9

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1 year ago

Pls help will mark brainliest

monitta

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

Troy received a gift of 100 shares of stock from his grandmother on July 1 of the current year. Troy's grandmother had owned the

kumpel [21]

Troy has a basis of $39 per share

total value of shares is $3900

Step-by-step explanation:

On July 1, the date of the gift, the stock was selling for $39 per share.

Troy's basis in the stock = current value of shares

No need to consider the base rate which is in 15 years ago

The current rate of 100 shares = $39 × 100 = $3900

Troy has a basis of $39 per share

total value of shares is $3900

4 0

3 years ago

the length of a rectangle is 5 times as long as its breadth and its area is 1620 m² find area of square whose perimeter is equal

Rus_ich [418]

Answer:

Area of the square is 2916 $m^{2}$ .

Step-by-step explanation:

Let the breadth of the rectangle be represented by w. So that;

length of rectangle = 5w

Area of rectangle = length x breadth

= 5w x w

1620 = 5 $w^{2}$

divide through by 5 to have,

$w^{2}$ = 324

w = $\sqrt{324}$

= 18

Thus, the breadth of the rectangle is 18 m.

length = 5 w = 5 x 18

= 90 m

The length of the rectangle is 90 m.

Perimeter of the rectangle = 2(l + w)

= 2( 90 + 18)

= 216 m

Perimeter of a square = 4l

where l is the length of its side.

Given that the perimeters of the rectangle and square are equal, then;

4l = 216

l = $\frac{216}{4}$

= 54

length of the side of square is 54 m.

Therefore,

Area of square = $l^{2}$

= $54^{2}$

= 2916

Area of the square whose perimeter is equal to that of the rectangle is 2916 $m^{2}$ .

6 0

2 years ago