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2 years ago

Solve the system of equations –2 + y = 14 and -5x – 7y=10 by combining the

Mathematics

1 answer:

pochemuha2 years ago

5 0

Answer:

Step-by-step explanation:

-2+y=14

-5x-7y=10

y=14+2

y=16

-5x-7(16)=10

-5x-112=10

+112 +112

-5x=122

x=-24.4

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A short-wave radio antenna is supported by two guy wires, 150 ft and 180 ft long. Each wire is attached to the top of the antenn

Dafna1 [17]

The distance between the anchor points of the two guy wires holding radio antenna is 181 feet (to the nearest foot)

<h3>How to determine the distance between the two anchor points of the guy wire</h3>

The problem will be solved using SOH CAH TOA

let the distance between the 150 ft long guy wire and the radio antenna be x

let the distance between the 180 ft long guy wire and the radio antenna be y

cos 65° = x / 150

x = cos 65° * 150

x = 63.39 ft

The height of the antenna

sin 65° = height of antenna / 150

height of antenna = sin 65 * 150

height of antenna = 135.95

using Pythagoras theorem

(length of guy wire)² = (height of the antenna)² + (anchor distance)²

(anchor distance)² = 180² - 135.95²

anchor distance = √(180² - 135.95²)

anchor distance = 117.97

The anchor points distance apart

= 63.39 + 117.97

= 181 (to the nearest foot)

Learn more on Pythagoras theorem here:

brainly.com/question/29241066

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4 0

1 year ago

michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ

bazaltina [42]

Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric Total Cost

2.2 $2.53

3.6 $4.14

4.2 $4.83

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To find the cost per yard of fabric, we will divide cost of yards by number of yards.

$\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}$

$\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Let us find cost per yard using 2nd set of data.

$\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Similarly we will find cost per yard for 3rd set of data.

$\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}$

$\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}$

Therefore, the cost per yard of fabric is $1.15.

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3 years ago

In one school, half of all students who like math like science as well. Also, in that school, a third of all students who like s

Nimfa-mama [501]

Answer:

2/3

Step-by-step explanation:

If we have 'x' students who like math and 'y' students that like science, we can formulate that:

Half of x likes math and science, and also one third of y likes math and science, so:

(1/2) * x = (1/3) * y

x / y = (1/3) / (1/2)

x / y = (1/3) * 2 = 2/3

So the ratio of the number of students who like math to the number of students who like science is 2/3

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3 years ago

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Find the length of the indicated side.

Ne4ueva [31]

Hello

DEF and IKL , equilateral =>

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3 years ago

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pashok25 [27]

5 feet bc...

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3 years ago

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