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3 years ago

Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.

Mathematics

2 answers:

kobusy [5.1K]3 years ago

8 0

Answer:

A) c = 16.5h

B) $74.25

C) 7 hours

Step-by-step explanation:

Bazinga charges $16.50 per hour to dog sit.

Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:

$\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}$

As explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50

⇒ c = 16.5h

where:

h = number of hours worked
c = total charge (in dollars)

To calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:

⇒ c = 16.5h

⇒ c = 16.5(4.5)

⇒ c = $74.25

To calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:

⇒ c = 16.5h

⇒ 115.5 = 16.5h

⇒ h = 115.5 ÷ 16.5

⇒ h = 7 hours

rewona [7]3 years ago

8 0

No preliminary values so no y intercept

rate of change =16.5

Equation

y=mx
y=16.5x

4-1/2=4.5hours

Put 4.5 in equation

y=16.5(4.5)
y=74.25$

Let y be 115.5

Now

16.5x=115.5
x=115.5/16.5
x=7hours

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the height of a triangle is 7cm greater than its base and its area is 15cm squared. find the value of its height

Rudiy27

Answer:

Step-by-step explanation:

Let base be b, height be h

h = 7+b or we can say that b = h -7

A = 15 cm²

General formula for area of a triangle

A = b · h

Substitute what we know to find the height h

15 = (h-7) · h

15 = h² -7h

0 = h²-7h -15

h = (7 ±√49 + 4·1·15)/2

h = (7 ±√109)/2

h ≈ -1.72 reject this solution because height cannot be negative

h ≈ 8.72 cm

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If a number is divisible by 4, is it also divisible by 8?

a_sh-v [17]

Answer:

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3 years ago

In triangle XYZ, if angle X is congruent to angle Z, XY = 13x - 21, YZ = 8x - 6, & XZ = x + 4, find x & the measure of e

Naily [24]

Answer:

Given: In triangle XYZ, $\angle X \cong \angle Z$ , XY=13x-21 , YZ=8x-6 and XZ=x+4.

If two angles are congruent if and only if, they measure the same number of degrees.

therefore, from the given condition; $\angle X = \angle Z$ .

Isosceles Triangle : An triangle with two equal sides. The angles opposite the equal sides are also equal.

Therefore, the triangle XYZ is an isosceles triangle, as the base angle $\angle X$ and $\angle Z$ are equal and the sides opposite to these angles are also equal i.e, XY=YZ.

Since, we have XY=YZ ,

⇒ 13x-21 =8x-6 or

13x-8x=21-6 or

5x=15

Simplify:

x=3

Therefore, the sides of an isosceles triangle are:

XY = 13x-21 = $13\cdot 3 -21$ = 39-21 = 18 unit ,

YZ = 8x-6 = $8 \cdot3 -4$ = 24-6 =18 unit,

and XZ = x+4 = 3+4 =7 unit.

Since, the triangle is isosceles, we draw a line from an vertex angle Y of a triangle XYZ which is perpendicular (i.e, of 90 degree angle) to opposite side meets the opposite side at its midpoint i.e, say W.

As W is the midpoint(i.e, it divide the sides into two equal halves),

XW=WZ = $\frac{7}{2} =3.5$ unit

Now, use the Pythagorean theorem, to find the altitude WY.

⇒ $(WY)^2+(WZ)^2=(YZ)^2$

Substitute the value of WZ = 3.5 unit and YZ = 18 unit in above formula to calculate the length of WY;

⇒ $(WY)^2+(3.5)^2=(18)^2$

Simplify:

$(WY)^2=324-12.25=311.75$ or

$WY=\sqrt{311.75}$

On simplify we get;

WY=17.65 unit(approx.)

The vertex angle Y is split into two equal angles, we can find the vertex angle by finding the one of the base angle by using the fact; $Cosine = \frac{Base}{Hypotenuse}$ .