20 POINTS I NEED HELP ASAP! Is this correct? If not, please correct me by answering ! Thanks.

1. What is the factored form of q2 - 12q + 36? (1 point)

Novay_Z [31]

Step-by-step explanation:

${q}^{2} - 12q + 36 \\ = {q}^{2} - 6q - 6q + 36 \\ = q(q - 6) - 6(q - 6) \\ \huge \red{ \boxed {= (q - 6)(q - 6) }}\\ is \: the \: factored \: form.$

3 0

3 years ago

A 100 foot ladder is leaning against a tree so that the top of the ladder is 96 feet above the ground. How far is the base of th

ahrayia [7]

Answer:The base of the ladder from the tree is 28ft

Step-by-step explanation:

Using pythagorean theorem

Let 100ft= hypothesis is the right angle triangle

Let 96ft be the height of the ladder

Let x be the base of the right angle triangle between the base of the ladder and the tree

h^2=a^2+b^2

100^2=96^2 +b^2

10,000=9216 +b^2

b^2=10,000-9216

b=sqrt(784)

b=28ft

8 0

3 years ago

Read 2 more answers

DUE SUN HELP ASAP BRAINIEST

trasher [3.6K]

Answer: There are 108 hammers, and there are 36 screwdrivers. 36×3=108·

Step-by-step explanation: We know that there are more hammers than screwdrivers, so there are 36 screwdrivers but there are 3 times as many hammers so we multiply 36 by 3 to get 108.

3 0

3 years ago

Find the value of x

marin [14]

Answer:

$x=14$

Step-by-step explanation:

The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

$sin(\theta)=\frac{opposite}{hypotenuse}$

Substitute,

$sin(30)=\frac{7}{x}$

Inverse operations,

$x=\frac{7}{sin(30)}$

Simplify,

$x=14$

5 0

2 years ago

Given: ΔPSQ, PS = SQ Perimeter of ΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ

Lana71 [14]

Answer:

120 units²

Step-by-step explanation:

Perimeter = PS + SQ + PQ

50 = SQ + SQ + (SQ -1)

51 = 3SQ

17 = SQ

17 -1 = 16 = PQ

The midpoint of the base is one leg of the right triangle whose other leg is the height of this isosceles triangle. That height is ...

h = √(17² -(16/2)²) = √225 = 15

Then the area is ...

A = (1/2)bh = (1/2)(16)(15) = 120 . . . . . square units

8 0

2 years ago