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3 years ago

8

Hendrick's Honda is having a contest to win a new Honda Civic. To win a chance at the car, you must guess the number of keys in

a jar within 5 of the actual number. The people who are within this range get to try a key in the ignition of the Civic. Suppose there are 697 keys in the jar.

1 answer:

Alona [7]3 years ago

3 0

Answer:

The valid range is 697 to 702

Step-by-step explanation:

<em>The question is incomplete; However, the requirement would likely be to determine the valid range which users can guess</em>

Given

$Keys = 697$

$Difference = 5$

First, we need to determine the minimum

$Minimum = Keys - Difference$

$Minimum = 697 - 5$

$Minimum = 697$

Next, we determine the maximum

$Maximum = 697 + 5$

$Maximum = 702$

Hence:

<em>The valid range is 697 to 702</em>

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A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of th

Marrrta [24]

Answer:

$-4(a + b = 6)$

Step-by-step explanation:

Given

$a + b = 6$

$4a + 2b = 19$

Required

Eliminate a

Multiply the first equation by -4

$-4(a + b = 6)$

Add to the second equation

$-4(a + b = 6) + (4a + 2b = 19)$

Solve brackets

$(-4a -4b = -24) + (4a + 2b = 19)$

Open bracket

$-4a + 4a -4b + 2b = -24 + 19$

$-4b + 2b = -24 + 19$

At this point, a has been eliminated;

From the list of given options, the option that answers the question is $-4(a + b = 6)$

8 0

3 years ago

Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

Cos C = $\frac{4}{5}$

As we know that

Tan C = $\frac{Sin C}{Cos C }$

<em>Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$ </em>

<em>Tan C = $\frac{3}{4}$ </em>

<u>METHOD - II</u>

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = $\frac{Height}{Base}$ </em>

<em>Tan C = $\frac{AB}{AC}$ </em>

<em>Hence Tan C = $\frac{3}{4}$ </em>

<em />

4 0

3 years ago

Which statement is true?

Vladimir [108]

Answer:

1 yard = 3 feet

Step-by-step explanation:

1 yard = 3 feet

4 0

3 years ago

50 POINTS<br><br> What is the volume of this?

yarga [219]

1468 is the answer.
You have to find the volume of the large shape and subtract the volume of the small shape. Write the equation as such:
(10*10*15) -(2*4*4)
1500 -32
1468

5 0

3 years ago

Read 2 more answers

PLZ HELP I WILL MARK AS BRAINLIEST

-Dominant- [34]

Answer:

7 square units

Step-by-step explanation:

As with many geometry problems, there are several ways you can work this.

Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.

The applicable formulas are ...

area of a trapezoid: A = (1/2)(b1 +b2)h

area of a triangle: A = (1/2)bh

So, our areas are ...

AQRS = AWSQE - AWSR - AEQR

= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)

Factoring out 1/2, we have ...

= (1/2)((2+5)·4 -2·2 -5·2)

= (1/2)(28 -4 -10) = 7 . . . . square units

4 0

3 years ago