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Natasha2012 [34]

3 years ago

12

A store sells notebooks for 3$ each and does not charge sales taxes.if x represents the number of notebooks Adele buys and y rep

resents the total cost of the notebooks she buys which best describes the value of x and y

1 answer:

nevsk [136]3 years ago

8 0

The store cell 3$ each and does not charge sale taxes if x represents the number

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Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th

Jobisdone [24]

<u><em>Answer:</em></u>

Area of the polygon = 59 in²

<u><em>Explanation:</em></u>

From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle

<u>Therefore:</u>

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

<u>1- getting the area of the upper triangle:</u>

<u>We have:</u>

base of triangle = 7 in

height of triangle = 6 in

<u>Therefore:</u>

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*7*6=21$ in²

<u>2- getting the area of the side triangle:</u>

<u>We have:</u>

base of triangle = 4 in

height of triangle = 5 in

<u>Therefore:</u>

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*4*5=10$ in²

<u>3- getting the area of the rectangle:</u>

<u>We have:</u>

length of rectangle = 7 in

width of rectangle = 4 in

<u>Therefore:</u>

Area of rectangle = length x width = 7 x 4 = 28 in²

<u>4- getting the total area of the polygon:</u>

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

<u>Therefore:</u>

Area of polygon = 21 + 10 + 28 = 59 in²

Hope this helps :)

4 0

4 years ago

Help me please TT,,,,,

tekilochka [14]

Answer:

The value of ∠A is 62° ⇒ c

The value of ∠B is 54°⇒ d

Step-by-step explanation:

<em>In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.</em>

<em />

In Δ ABC

∵ The measure of the exterior angle at the vertex C = 116°

∵ The opposite interior angles to vertex C are ∠A and ∠B

∵ m∠A = (3x - 13)°

∵ m∠B = (2x + 4)°

→ By using the rule above

∴ (3x - 13) + (2x + 4) = 116

→ Add the like terms in the left side

∵ (3x + 2x) + (-13 + 4) = 116

∴ 5x + -9 = 116

∴ 5x - 9 = 116

→ Add 9 to both sides

∵ 5x - 9 + 9 = 116 + 9

∴ 5x = 125

→ Divide both sides by 5

∴ x = 25

→ To find the measures of angle A and B substitute x in their

measures by 25

∵ m∠A = 3(25) - 13 = 75 - 13

∴ m∠A = 62°

∴ The value of ∠A is 62°

∵ m∠B = 2(25) + 4 = 50 + 4

∴ m∠B = 54°

∴ The value of ∠B is 54°

5 0

3 years ago

Is 144 a natural number yes or no

Black_prince [1.1K]

Answer:

is 144 a natural number yes or no

Yes

I'm not sure

5 0

3 years ago

Find the x-intercept for y = 3x^2 + 6x − 10

azamat

Answer:

x-intercepts: (-3.08, 0) and (1.08, 0)

Step-by-step explanation:

Given:

The function is given as:

$y=3x^2+6x-10$

In order to find the x-intercept, we need to equate the given function to 0 as x-intercept is the point where the 'y' value is 0. So,

$y=0\\3x^2+6x-10=0$

Now, this is a quadratic equation of the form $ax^2+bx+c=0$

We find the solution using the quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here, $a=3,b=6,c=-10$

Now, the solutions are:

$x=\frac{-6\pm \sqrt{6^2-4(3)(-10)}}{2(3)}\\\\x=\frac{-6\pm \sqrt{36+120}}{6}\\\\x=\frac{-6\pm \sqrt{156}}{6}\\\\x=\frac{-6}{6}-\frac{2\sqrt{39}}{6}\ or\ x=\frac{-6}{6}+\frac{2\sqrt{39}}{6}\\\\x=-1-2.08\ or\ x=-1+2.08\\\\x=-3.08\ or\ x=1.08$

Therefore, the x-intercepts are (-3.08, 0) and (1.08, 0)

5 0

3 years ago

The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 45 square inches.

Amiraneli [1.4K]

Answer:

A = $\pi$ $r^{2}$

45 = $\pi$ $r^{2}$

45/ $\pi$ = $r^{2}$

14.3 = $r^{2}$

r = 3.8

3 0

3 years ago