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stira [4]
2 years ago
10

A 22-foot ladder is leaning up against the side of a house. The ladder makes an angle of 77o with the ground. How far up the sid

e of the house does the ladder reach
Mathematics
1 answer:
Crank2 years ago
8 0

Answer:

21.44 ft

Step-by-step explanation:

(sketch to understand)

use SOH/CAH/TOA rules to solve

sin rule is used

solve for x

(working in the picture attached)

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Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = 9, 6 , b = −4, 6 orthogonal parallel neither (
labwork [276]

Answer:

(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal

Step-by-step explanation:

a and b are parallel is a=kb

a and b if a dot b = 0

(a) a dot b = (9)(-4)+6(6)=-36+36=0

  a and b are orthogonal

(b) a dot b = 40-7-21=12

    a=kb -> there is no k value satisfying the equation

    a and b are neither parallel or orthogonal

(c) a dot b = -12-108-48=-168

    a=kb  -> k=-3/4 satisfies the equation

    a and b are parallel

(d) a dot b= 9-3-6=0

  a and b are orthogonal

5 0
3 years ago
*HELP PLEASE* <br> Will get BRAINLIEST answer!!!!
photoshop1234 [79]

When solving these proportions we just remember when moving a number from one side to the other if it started in the numerator it ends up in the denominator and vice versa.


I'll do it in two steps here for teaching purposes; it's not too hard to go directly to the answer.


\dfrac{13}{7} = \dfrac{10}{v}


13 v = 7(10)


v= \dfrac{7 \cdot 10 }{13} = \dfrac{70}{13} \approx 5.4

5 0
3 years ago
Read 2 more answers
My tens digit is less than 7. I am one away from being a multiple of 5. If you half me you will not get a whole number. Who am I
Len [333]

Answer:

its B.429

Step-by-step explanation:

20<70

429+1=multiple of 5

429÷2=214.5

so the answer is 429

 

6 0
3 years ago
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Part A The top of a table is in the shape of a circle and has a diameter of 32 inches. At the center of the table, there is a sm
lisabon 2012 [21]

Answer:

Step-by-step explanation:

4 0
3 years ago
In a nursery class of 18 pupils, the average is 4<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"
Alisiya [41]

Answer:

The sum of ages of all 18 pupils in the class = 81

Step-by-step explanation:

Total number of pupil in the class =  18

Average of years in the class = 4\frac{1}{2}

Now, 4\frac{1}{2}  = 4 + \frac{1}{2}  = 4 + 0.5 = 4.5

⇒Average of sum of ages  in the class = 4.05

Let us assume the sum of ages of all students in the class = m

By the formula for AVERAGE:

\textrm{Average of n obseravtions}  = \frac{\textrm{Sum of n observations}}{\textrm{n}}

\implies 4.5 = \frac{m}{18}

or, m =  18 x 4.5 = 81

Hence, the sum of ages of all 18 pupils in the class = 81

6 0
3 years ago
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