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3 years ago

How do i solve this

Mathematics

1 answer:

laila [671]3 years ago

4 0

The ratio is 2:3 for the side lengths of the triangles.

so 6:9 is one side and 5:x would be the other side

2/3 of five is 3.33 and multiplying that by 2 gives you 6.67

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A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why

VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

$Area=length\times width$ square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

$Area=x\times y = 0.24$ , with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

$1\times y = 0.24$

∴ y = 0.24

Now put x = 0.5 we get

$0.5\times y = 0.24$

∴ y = 0.48

Put x = 0.25

$0.25\times y = 0.24$

∴ y = 0.96

Put x = 2

$2\times y = 0.24$

∴ y = 0.12

8 0

2 years ago

Read 2 more answers

A theater sells two types of tickets to their plays, children's tickets and adult tickets. For today's persformance they have so

evablogger [386]

784 adult tickets
Adult + children’s tickets = 1488
(1488-80)/2+80= adult tickets

3 0

3 years ago

You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression t

MatroZZZ [7]

a. See attachment for the labelled diagram

b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.

c. Distance between the two ponds is 1,263.5 m.

<h3>What is the Sine and Tangent Ratios?</h3>

Sine ratio, is: sin ∅ = opposite side/hypotenuse length

Tangent ratio is: tan ∅ = opposite side/adjacent length.

a. The diagram with the appropriate labels is shown in the image attached below.

b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):

CA = hypotenuse

∅ = 10°

Opposite = 875 m

sin 10 = 875/CA

CA = 875/sin 10

CA ≈ 5,038.9 m (distance from the hot air to pond A)

CB = hypotenuse

∅ = 8°

Opposite = 875 m

sin 8 = 875/CB

CB = 875/sin 8

CB ≈ 6,287.1 m (distance from the hot air to pond B)

c. Distance between the two ponds, BA = BD + DA.

Apply the tangent ratio to find BD and DA

tan 8 = 875/BD

BD = 875/tan 8

BD = 6,225.9 m

tan 10 = 875/DA

DA = 875/tan 10

DA = 4,962.4 m

Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.

Learn more about the sine and tangent ratios on:

brainly.com/question/24137232

#SPJ1

8 0

1 year ago

What is -5x + 2 equals negative 48

VikaD [51]

The answer would be X=10
First you would subtract 2 to -48 and that gives you -50. After you will divide the -5x to -50 and that gives you X=10

3 0

3 years ago

Read 2 more answers

Find the probabilities for a standard normal random variable Z.

vampirchik [111]

Answer:

Step-by-step explanation:

find the attachment showing std normal curve symmetrical about y axis.

Equal probabilities on either side of the mean thus the total probability to the right of mean is 0.50

From the table we can find that

a) P(Z>2.5) = 0.5- area lying between 0 and 2.5

= 0.5-0.4938 =0.0062

b) P(1.2<z<2.2) = F(2.2)-F(1.2)

= 0.9861-0.3849

=0.6012

4 0

3 years ago