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stepladder [879]
3 years ago
7

What is the perpendicular slope to 6/-3

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

Perpendicular slope is \frac{3}{6} or \frac{1}{2}.

Step-by-step explanation:

Given:

Let the perpendicular slope be x.

The given slope is \frac{6}{-3}

For perpendicular slopes, the product of the slopes is equal to -1.

Therefore, x\times \frac{6}{-3}=-1\\-\frac{6}{3}x=-1\\6x=3\\x=\frac{3}{6}=\frac{1}{2}

Therefore, the perpendicular slope is \frac{3}{6} or \frac{1}{2}.

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Given: ΔABC. If ∠B = 35°, a = 4.5 cm, and b = 6.0 cm, what is the measurement of ∠A to the nearest tenth of a degree?
soldier1979 [14.2K]
We know that

the law of sines established 
a/sin A=b/sin B--------sin A=[a*sin B]/b
a=4.5 cm
b=6 cm
B=35°
so
sin A=[4.5*sin 35°]/6-----> sin A=0.43018
A=arc sin(0.43018)-------> A=25.5°

the answer is the option
<span>C) 25.5° </span>


6 0
3 years ago
Nehal is a real estate developer, and he is designing a new neighborhood. The neighborhood will have four streets, each of which
ololo11 [35]

Answer:

240 houses

Step-by-step explanation:

Given that:

Number of streets = 4

Length of each street = 3/4 miles long

Street is divided into lots with one house built per lot

1 mile = 5289 feets

3/4 miles = (3/4) * 5280 = 3960 feets

Hence, street is 3960 feets long

Since each lot must have at least 65 feet frontage along the street:

Number of lots per street :

Length of street / frontage length

3960 ft / 65 ft = 60.92

Hence, maximum number of lots per street = 60 lots per street

Maximum number of houses in New neighborhoods :

Number of lots per street × number of streets

= 60 × 4

= 240 houses

4 0
3 years ago
Factor the polynomials of 25 x2-49x4
mezya [45]

Answer:

25x2-49x4= -146

Step-by-step explanation:

i just used calculator

8 0
2 years ago
Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie
Greeley [361]

Answer:

The differential equation will be like the one shown below

Step-by-step explanation:

Data:

Let the equation be given as:

y(4) + 8y' = 6

The equation will be expressed linearly as follows:

y(4) + 8\frac{dy}{dx}  = 6

8\frac{dy}{dx}+ 4y = 6

This is the linear form of the differential equation.

5 0
3 years ago
Read 2 more answers
Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax u
alexgriva [62]

Answer:b

Step-by-step explanation:

7 0
3 years ago
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