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VashaNatasha [74]

3 years ago

10

Find the missing segment in the image below

1 answer:

ValentinkaMS [17]3 years ago

4 0

Answer:

Step-by-step explanation:

I replace x instead of ?.

35/35+(x+35)=(60_35)/60

.....35×60=875+25x+875

2100=1750+25x

350=25x---->x=350÷25=14....x:14

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What is the quotient of 1/8 divided by 4

barxatty [35]

Answer:

0.03125

Step-by-step explanation:

1/8 would also equal to (1 divided by 8) which equals 0.125. The next step is to divide 0.125 by 4. you will get 0.03125

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What is the area of triangle PQR? Round to the nearest tenth of a square unit.

larisa86 [58]

ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

$Area = \frac{1}{2} \times base \times height$
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Then the height of the triangle can be determined from the diagram using trigonometry.

$\sin(68 \degree) = \frac{height}{20 }$

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180:60 in its simplest from

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Answer:

3:1

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3 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

3 years ago