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horrorfan [7]
3 years ago
5

1. Factor 3h2 - 11h - 42 completely.

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

3h² - 11h - 42 = (3x+7)(x−6)

Step-by-step explanation:

We need to find factors of 3h² - 11h - 42. It is a quadratic equation.

We search two numbers such that their product is 42 and sum is 11. So,

3h² - 11h - 42 = 3h² -18x +7x -42

= (3x+7)(x−6)

So, the required factors are (3x+7)(x−6).

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Someone please help me
Phoenix [80]

Answer: 120, 60, 180

Step-by-step explanation:

1) Area of a rectangle's formula is:

l × w

So, looking at the diagram, we get:

6 × 20 = 120 cm²

2) Area of a trapezoid's formula is:

\frac{a+b}{2} × h (where both a and b are the different base lengths)

So, looking at the diagram, we get:

\frac{10+20}{2} × 4 = 60 cm²

3) Add both to find the area of the entire figure.

120 + 60 = 180 cm²

8 0
3 years ago
6. For a particular pickup truck, the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800
Neko [114]

Answer:

  • <u>53.5 %</u>

Explanation:

You can convert the percent markup into a multiplicative factor in this way:

Base price:                     15,800 . . . (cost to the seller)

Percent mark up:           115% . . .  (based on the cost to the seller)

Sale price:                      15,800 + 115% of x = 15,800 + 115 × 15,800 /100 =

                                        = 15,800 + 1.15 × 15,800 = 15,800 (2.15) = 33,970

The markup is:

  • Markup = price paid by the seller - cost to the seller = 33,970 - 15,800   = 18,170 (notice that this is 115% of 15,800)

And <em>the percent markup based on the sale price is</em>:

  • % = (markup / sale price) × 100 = (18,700 / 33,970) × 100 =

            = 53.49 %

Rounding to the nearest tenth percent that is 53.5 %.

4 0
4 years ago
Q.8) In ΔABC, angle B = 90°, angle A = 60°, angle C = 30°, AC = 17 then AB is.... *​
vazorg [7]

Answer: AB = 150 degrees

Step-by-step explanation: 90 + 60 = 150

8 0
3 years ago
In New Salem North Dakota there is a 38-ft-tall statue of a cow named Salem Sue. Suppose the statue's shadow was 57 feet long an
guajiro [1.7K]

Answer:

5.25 feets

Step-by-step explanation:

Given that:

Height of Salem Sue = 38 feets

Height of Salem Sue's shadow = 57 feets long

Height of child standing next to the statue = 3.5 foot tall

Length of the child's shadow =?

Let lenght of child's shadow = s

IF;

38 Feets tall = 57 feets lenght

3.5 feets tall = s feets long

Cross multiply :

38 * s = 57 * 3.5

38s = 199.5

38s / 38 = 199.5 /38

s = 5.25

Hence, length of the child's shadow will be 5.25 feets long

3 0
3 years ago
find an equation of the line that passes through the point (3,-1) and is perpendiculor to line with slope -1/2
GrogVix [38]

Answer:

perp. 2

y + 1 = 2(x - 3)

y + 1 = 2x - 6

y = 2x - 7

7 0
3 years ago
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