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Montano1993 [528]

2 years ago

5

Iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee. On an 7 hour job iris changed $4

70. What is her hourly rate

1 answer:

Serhud [2]2 years ago

4 0

Mark the fee as x. Then, make the following equation :
$x + 7 \times 1.2x = 470 \\ x + 8.4 x = 470 \\ 9.4x = 470 \\ x = 470 \div 9.4 \\ x = 50$
The initial fee is $ 50, and the hourly rate is 1.2 times higher. Thus, the hourly rate is
$50 \times 1.2 = 60$
Her hourly rate is $60.

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a lever will balance if the mass of object 1 times its distance from the fulcrum equals the ma's of object 2 times its distance

Afina-wow [57]

If the distance between the fulcrum and the effort is increased, the distance that the effort must move the lever increases as well. Conversely, if the distance between the fulcrum and the load is decreased, the distance that the lever must move also decreases.

so we have too apply more force to pull the lever cause the distance is 1x smaller then mia lever so on mia lever we ull moree to get it to move!

4 0

2 years ago

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simple

vredina [299]

Answer:

Side b = 10.2 m (1 d.p.)

Step-by-step explanation:

11² = 121

15² = 225

225 - 121 = 104

√104 = 10.2 (1 d.p.)

Side b = 10.2m

(Full answer = 10.198039)

11² + 10.2² = 15²

7 0

2 years ago

Hayden graphed the following linear function on an (x,y) coordinat plane. g(x) = 3x -4.5 What is the y-intercept of the graph of

777dan777 [17]

-4.5 if you were to graph the linear function.

6 0

2 years ago

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

2 years ago

What is the remainder to 32 divided by 3

Andreyy89

Answer:

The remainder is 2

Step-by-step explanation:

Hey there!

You can either do 3 * 10 = 30 and remainder of 2

Or 32 / 3 = 10 and remainder of 2

Hope this helps

-IronWolfX

3 0

2 years ago

Read 2 more answers