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3 years ago

Simplify the expression. 3(2+q)+15 simplified is

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

chubhunter [2.5K]3 years ago

4 0

Answer:

3q+21

Step-by-step explanation:

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How many square feet of glass is used to create the window

krek1111 [17]

Answer:108

mark me brainliest

Step-by-step explanation:8 pieces of glass uses 1 sqft. glass window. 864 sqin. required = = 108 pieces. Number of pieces required for 864 sq.inches = 108 pieces.

7 0

2 years ago

Please help i am stuck and trying not to fail lol. also if you can show work pls

wel

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

$\sin \theta=\dfrac{Perpendicular}{Hypotenuse}$

$\sin 30=\dfrac{12}{Hypotenuse}$

$\dfrac{1}{2}=\dfrac{12}{Hypotenuse}$

$Hypotenuse=12\times 2$

$Hypotenuse=24$

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

$\tan 30=\dfrac{12}{Base}$

$\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}$

$Base=12\sqrt{3}$

Length of the rectangle is 12 and width of the rectangle is $12\sqrt{3}$ . So, the area of the rectangle is:

$Area=length \times width$

$Area=12 \times 12\sqrt{3}$

$Area=144\sqrt{3}$

So, the area of the rectangle is $144\sqrt{3}$ sq. units.

(c)

Perimeter of the rectangle is:

$P=2(length+width)$

$P=2(12+12\sqrt{3})$

$P=24+24\sqrt{3}$

$P\approx 65.57$

Therefore, the perimeter of the rectangle is about 65.57 units.

4 0

3 years ago

Qt + a = -1 when q = 3 and t = 4

Pachacha [2.7K]

Answer:

$a=-13$

Step-by-step explanation:

We can use substitution to find the value of $a$ :

$qt+a=-1$

$3(4)+a=-1$

$12+a=-1$

$a=-13$

Hope this helps :)

5 0

3 years ago

At top cruising speed a mako shark can swim 4 km in 1/10 hour a blue whale can swim 5 km in 1/4 hour which animal swims faster a

oksian1 [2.3K]

Answer:

fortnite

Step-by-step explanation:

im different

6 0

3 years ago

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish

Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

μ = population mean = 11 lb

s = population standard deviation = 6

n = sample size = 4

1st: Calculating for z when x = 8.6 lb

z = (8.6 – 11) / (6 / sqrt4)

z = - 0.8

Using the standard distribution table for z:

Probability (x = 8.6 lb) = 0.2119

2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

Probability (x = 14.6 lb) = 0.8849

Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x ≤ 14.6 ) = 0.673 (ANSWER)

8 0

3 years ago