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makvit [3.9K]
3 years ago
15

Estimate the sum 5.89 +7 1/11

Mathematics
2 answers:
FrozenT [24]3 years ago
6 0
12.98 is the answer................
Vlad [161]3 years ago
4 0
If you convert 7 1/11 to decimals it comes out to .09 there fore 5.89+7.09
Answer: 12.98
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Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
hammer [34]

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0
2 years ago
If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .
Aleks04 [339]

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  a_1=2\\a_n=a_{n-1}^2-2

Using this to find a4, we get ...

  a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}

6 0
3 years ago
HELPPPPPPPPPP
mrs_skeptik [129]

Answer:

5 1/3 gallons

Step-by-step explanation:

Equation: 8 1/6 - 2 5/6

8-2=6

1/6-5/6= -4/6

6-4/6=5 2/6

Simplify:

5 1/3 gallons

7 0
3 years ago
If L = 3 inches, W = 2 inches, and H = 8 inches, what is the volume of the rectangular prism?
Gelneren [198K]

Answer:

48in^3

Step-by-step explanation:

volume of rectangular prism formula: L*W*H

lets plug in values for:

l=length(3)

w=width(2)

h=height(8)

so

3*2*8=48

48in^3

Hope this helps!

4 0
3 years ago
Im timed! What is the slope of the line represented by the equation f(t)=2t−6?
givi [52]

Answer:

B

Step-by-step explanation:

Same thing but with t instead of x

8 0
3 years ago
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