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andrey2020 [161]
3 years ago
9

abby has saved 67% of the money she needs to buy a new camera that cost $156.00 how much more money does she need to buy a new c

amera?
Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

$51.48

Step-by-step explanation:

Percent left: 100%-67%=33%

33% can also be expressed as the fraction 33/100

Then, 33% of 156 is 156*33/100=51.48

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Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
RSB [31]

Answer:

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

ΔABC is a right angle triangle too. Therefore,

AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How do you solve the system by substitution?<br><br> y = 4x + 24<br> y = 5x
makkiz [27]
Set up a new equation of 5x=4x+24 and solve it should be x=24
3 0
3 years ago
Read 2 more answers
450 miles on 15 gallons of gas is what in a rate?
lions [1.4K]
450 miles/15 gallons is reduced to 30 miles/1 gallon
7 0
3 years ago
Find the fraction of stundents enrolled in each language
blondinia [14]

Fraction of students enrolled in Chinese = \frac{51}{126}

Fraction of students enrolled in French = \frac{33}{126}

Fraction of students enrolled in Spanish = \frac{42}{126}

Solution:

Total number of students = 51 + 33 + 42

                                          = 126

Number of students enrolled in Chinese = 51

Fraction of students enrolled in Chinese

             $=\frac{\text{Number of students enrolled in Chinese}}{\text{Total number of students}}

             $=\frac{51}{126}

Fraction of students enrolled in Chinese = \frac{51}{126}

Number of students enrolled in French = 33

Fraction of students enrolled in French

             $=\frac{\text{Number of students enrolled in French}}{\text{Total number of students}}

             $=\frac{33}{126}

Fraction of students enrolled in French = \frac{33}{126}

Number of students enrolled in Spanish = 42

Fraction of students enrolled in Spanish

             $=\frac{\text{Number of students enrolled in Spanish}}{\text{Total number of students}}

             $=\frac{42}{126}

Fraction of students enrolled in Spanish = \frac{42}{126}

7 0
3 years ago
Jordan is stacking 2 boxes on a shelf. The bottom box measures 7 inches​ long, 6 inches​ wide, and 6 inches high. The top box is
Andre45 [30]
Answer: 377

Explanation: Length x width x height
7x6 = 42 x 6 = 252
A cube means all sides a equal. So 5x5x5 = 125
Add both together and you get 377 cubic inches.
4 0
2 years ago
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