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Solnce55 [7]
3 years ago
14

The area of a parallelogram is 16.8 square inches. If the base of the parallelogram is 1.5 inches, what is its height?

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer: the height is 11.2

Step-by-step explanation:

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Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val
avanturin [10]

Answer:

B. No

Cos \ \theta\neq Cos (90-\theta)\textdegree

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

-\theta is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0
3 years ago
Whats greater -4 or -10
anygoal [31]
-4 because it is closer to the 0
5 0
3 years ago
Read 2 more answers
The coordinates of A and B are (3k, 8) and (k, -3) respectively. Given that the gradient of the line segment AB is 3, find the v
Vladimir [108]

Step-by-step explanation:

gradient = slope or several other words.

it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.

it is represented by the ratio

(y coordinate change / x coordinate change)

when going from one point on the line to another.

in our case, when going from A to B we have

x changes by -2k (from 3k to k).

y changes by -11 (from 8 to -3).

so, the gradient or slope is

-11/-2k = 3

11/2k = 3

11 = 3×2k = 6k

k = 11/6

A = (33/6, 8) = (11/2, 8)

B = (11/6, -3)

5 0
2 years ago
An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop compute
skad [1K]

Answer:

a

  The null hypothesis is  H_o  :  p =  0.67

   The alternative hypothesis is  H_a : p \ne 0.67

b

 The sample proportion is \^ p  =  0.65

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  546  

      The number of people that use a laptop overnight is  k = 355

    The population proportion is  p =  \frac{2}{3}  =  0.67

   Generally

  The null hypothesis is  H_o  :  p =  0.67

   The alternative hypothesis is  H_a : p \ne 0.67

Gnerally the sample proportion is mathematically represented as

        \^ p  =  \frac{ k}{n}

=>     \^ p  =  \frac{ 355}{546}

=>     \^ p  =  0.65

4 0
3 years ago
Write the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, -1).
ira [324]
Line:
3x+y=7
y=-3x+7

Slope of Perpendicular Line: 1/3x

For the perpendicular line to contain point (6,-1) the y-intercept would be (0,1), thus the equation of the line would be y=1/3x+1

y=1/3x+1

5 0
3 years ago
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