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Nana76 [90]
2 years ago
10

When finding the difference between 2.4 and a number, the answer is 1.57. What number should go in the box to complete the subtr

action problem?

Mathematics
1 answer:
Airida [17]2 years ago
4 0

Answer:

8

Step-by-step explanation:

2.4 - 1.57 = 0.83

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the length of a rectangular garden is 3 m greater than the width. The area of the garden is 70m squared. find the dimensions of
Lerok [7]
A = l x w

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = l + 3

you then substitute the second equation into the first to solve for l

70 = l x (l +3)
70 = l^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula 

0 = l^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2

then you solve for the two seperate roots

l = -3 + 17 /2
l = 14 / 2
l = 7

or 

l = -3 - 17 / 2
l = -20 / 2
l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3
w = 7 + 3
w = 10 

hope this helps! if you did not understand a step or concept please let me know!
4 0
3 years ago
A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can
lorasvet [3.4K]

Answer:

<h3>11.8 feet</h3>

Step-by-step explanation:

Given

Length of the ladder = 12foot

angle of elevation = 80 degrees

Required

Height of the wall (opposite side)

The set up will form a right angled triangle where

length of the ladder is the hypotenuse

height of the wall is opposite;

Using SOH, CAH, TOA trig identity

According to SOH

sin 80 = opp/hyp

sin80 = opp/12

opp = 12sin80

opp = 11.82 feet

Hence the height of the wall is 11.8feet (to the nearest tenth)

5 0
3 years ago
If angle A in the diagram equals 45 degrees and and B is 4x + 5 degrees, determine the value of x.
Tresset [83]

Answer: 10

Step-by-step explanation: subtract 5 by 45 to get 40 then divide 4 to get 10

4 0
3 years ago
Someone please help me ASAP
Minchanka [31]

Answer:

There is 1 boy per 2 girls

Step-by-step explanation:

6 0
3 years ago
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True or False.<br><br> The expressions 4(y−3) and 4y−12 are equivalent?
pickupchik [31]

Answer:

true

Step-by-step explanation: its true 4 x 1y =4y then you multiply that 3 with the four bc you do the same for both sides it will look the same

7 0
2 years ago
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