All categories

2 years ago

Q. Find the measure of QR

Mathematics

1 answer:

Vika [28.1K]2 years ago

7 0

Answer: 22

Step-by-step explanation:

By the triangle midsegment theorem, QR=2(US)=2(11)=22.

You might be interested in

A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time giv

allochka39001 [22]

Answer:

5t = 4b

Step-by-step explanation:

Here, we want to write a proportional relationship for b in terms of t

From the question, b represent the amount of candle burned away in a given time t hours

From what we have initially, 13 3/4 burnt in 11 hours

So in 1 hour, the amount burnt will be;

55/4/11 = 5/4

5/4 inches of candle burnt in 1 hour

5/4 inches = b/t

So b inches burnt in t hours

5/4 = b/t

5t = 4b

7 0

3 years ago

the value of a plot of land is $18000. Land tax charged at the rate of $0.70 per $100 value. What is the total amount of tax pai

Darina [25.2K]

Answer:

126 $

Step-by-step explanation:

1- 18000 / 100 = 180

2- 180 x 0.7 = 126$

7 0

3 years ago

Read 2 more answers

When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin

7nadin3 [17]

Answer:

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$

or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

Step-by-step explanation:

To express the Fahrenheit temperature as a linear function of the Celsius temperature, F(c), we can proceed as follows.

We can use here the two-point form equation of a line:

$\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$ [1]

We are asked to express the Fahrenheit temperature as a function of Celsius temperature, so the independent variable, in this case, is x (Celsius temperature) and the dependent variable is y (Fahrenheit temperature).

When temperature is zero degree Celsius ( $\\x_1 = 0$ ), the Fahrenheit temperature is 32 ( $\\y_1 = 32$ ).

When the Celsius temperature is 100 ( $\\x_2 = 100$ ), the corresponding Fahrenheit temperature is 212 ( $\\y_2 = 212$ ).

Then, using [1], we have:

$\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)$

$\\ y-32 = \frac{180}{100}(x)$

$\\ y-32 = 1.8(x)$ .

It could be also be written as:

$\\ y-32 = \frac{18}{10}(x)$ = $\\ y-32 = \frac{9}{5}(x)$ , as it commonly appears in books.

Then the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c) is ( solving the equation for y ) :

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$ .

Or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(0) + 32$ = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(100) + 32 = 180 + 32$ = 212 Fahrenheit degrees.

5 0

3 years ago

Alona [7]

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

Speed is what it means. the speed of a change in an object's location in any direction.
Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
Speed is a scalar quantity because it just has a direction and no magnitude.

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

Speed = distance/time

then,

x + y = 26/2

x + y = 13

x = 13 - y

In return trip took him time "6.5 hours",

x - y = 26/6.5

x - y = 4

By substituting the value of "x", we get

13 - y - y = 4

13 - 2y = 4

2y = 13 - 4

2y = 9

y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

x = 13 - a

x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

Learn more about speed

brainly.com/question/28224010

#SPJ13

4 0

1 year ago

In a parallelogram EFGH, EJ=x^2-4 and JG=3x. What is EG?

trapecia [35]

EG = 24 ( solution is attached below)

7 0

2 years ago

Read 2 more answers