pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs.

​tell the answer

Answer:

x = 15

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the values of x and y to find k

y = kx

104 = k(8)

13 = k

So, the direct variation equation will be y = 13x

Plug in 195 as y to find x

y = 13x

195 = 13x

15 = x

So, x = 15 when y = 195

As The value of y varies directly with x, when y = 195, x will be 15.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The value of y varies directly with x.

∴ y = kx.

If x = 8, then y = 104.

104 = 8k.

k = 104/8.

k = 13.                                  (constant of proportionality)

Now,  y =195.

∴ 195 = 13x.

x = 195/13.

x = 15

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

Answer:

Two.

Step-by-step explanation:

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.

3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.

Answer:

1,298

Step-by-step explanation:

Step 1:

1,278 + 20

Answer:

1,298

Hope This Helps :)

Answer:

1298

Step-by-step explanation:

20+1278=1298

Answer:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3^{1-x}+3^{1+x}=90[/tex]

First, note that this is the same as:

[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]

Factor out a 3:

[tex]3(3^{-x}+3^{x})=90[/tex]

Divide both sides by 3:

[tex]3^{-x}+3^x=30[/tex]

Change the negative exponent into a fraction:

[tex]\frac{1}{3^x}+3^x=30[/tex]

Multiply both sides by 3^x:

[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]

Distribute:

[tex](1)+(3^x)^2=30(3^x)[/tex]

Let u equal 3^x. So:

[tex]1+u^2=30u[/tex]

Subtract 30u from both sides:

[tex]u^2-30u+1=0[/tex]

This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:

[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute:

[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]

Simplify:

[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]

Subtract:

[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]

Simplify:

[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]

Simplify:

[tex]u=15\pm 4\sqrt{14}[/tex]

Substitute back u:

[tex]3^x=15\pm 4\sqrt{14}[/tex]

Take the log to base 3 of both sides:

[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]

The left side cancels:

[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]

So, our solutions are:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

And we're done!

Answer:

A.  12

Step-by-step explanation:

a = -7

b = -4

c = 5

ignore B. counting should be till the desired grid which is C

AC = 7 + 5

AC = 12

Answer: 12

Step-by-step explanation: just count their distance by 1

Answer:

0.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter= 46

Area of rectangle= Length * Width

Ratio                    =       2 : 1

= Length= 2/3 * 46 = 30.6/2 = 15.3

Width = 1/3 * 46 = 15.3/2 = 7.65

Area= 117.045

Answer:

No

Step-by-step explanation:

The literal equation a = 3b + 4c - a contain "a" on the right side so it is not solved for a.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

If we solve any equation for x then

x = f(other than x)

For example

x + 2x + 3y = 4

Solve for x will be

3x + 3y = 4

x = (4 - 3y)/3 so on right-hand side no x term is present.

Given the equation,

a = 3b + 4c - a

The right-hand side has termed "a" so it is not solved for a.

Hence "The literal equation a = 3b + 4c - a contain "a" on the right side so it is not solved for a".

For more about the equation,

brainly.com/question/10413253

#SPJ6

Answer:

a+62=65

Step-by-step explanation:

if a=3 then 62+3=65

Answer: There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.

(FULL CREDIT TO maksimylian, I DID NOT WRITE THIS ANSWER)

Answer:

Randomly surveying 50 girls would most likely bring non-seventh-graders into the sample.

The sample also does not take any boys into account, and they most likely make up about half of the seventh-grade population.

The results would not be a representative sample of the population.

Step-by-step explanation:

From edge

Answer: What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm?  2016 (length x width x height)

What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml?  172.8 (when finding the mass you always multiply the volume and density so 54ml x 3.2 g/ml = 172.8)

What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3?  2cm3 (38g/19cm3=2cm3

What is the density of a box if the mass is 160 g and the volume is 12 ml?  13.3 (160/12=13.3)

What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement) 15 (If you measure the amount the water level increases, you can find the volume of the water pushed out of the way.)

The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil? 6.45cm3  (8/1.24/cm3=6.45

Step-by-step explanation:

Answer:

There is no picture, my sweetheart.

Step-by-step explanation:

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Here is a system of linear equations:

⇒ 6x + 21y = 103

⇒ -6x + 23y = 51

Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.

⇒ 44y = 154

⇒ y = 3.5

Substitute the value of y = 3.5 in the equation 6x + 21y = 103

⇒ 6x + 21(3.5) = 103

⇒ 6x + 73.50 = 103

⇒ 6x = 103 - 73.50

⇒ 6x = 29.50

⇒ x = 4.92

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

d. 1440

I'm guessing you mean hours in a school yr

8 hrs in a day x 180 days = 1440 hrs in 1 school yr

how many 'hours' are there in a school year?

answer: D

8 hours a day x 180 days ( one school year)

8 x 180

= 1440 hours

n = 2

My picture shows my work :)

Answer:

266

Step-by-step explanation:

Answer:

-11=x

Step-by-step explanation:

2/5x-3.6 is the simplified when you DISTRIBUTE 2/5 multiplying both parts of the parentheses. Add 3.6 to both sides 2/5x=-4.4 then 2x=-22, x=-11

Answer:

ii) curved surface area =2 pie rh

2*22/7*14*21

1548 cm2

iii) total surface area=2 pie r(r+h)

2*22/7*14(14+21)

2780

iv) volume of cylinder=pie r2h

22/7*14*14*21

12936 ans

Step-by-step explanation:

Answer:

As = 2112 cm²

Step-by-step explanation:

given:

A cylinder has a circular base radius 14cm and height of 10cm.

find:

the total surface area of the cylinder. [take pie 22/7] *​

solution:

surface area (As) = 2πrh + 2πr²

where r = 14 cm;    h = 10 cm;   π = 22/7

plugin values into the formula:

As = 2 (22/7) 14 (10) + 2 (22/7) 14²

As = 880 + 1232

As = 2112 cm²

Answer:

150

Step-by-step explanation:

125/2.5=50

50x3 =150

Answer:

150

Step-by-step explanation:

I took the Practice/Instruction :)

Answer:

C. reflection across the x-axis

Answer:

C

Step-by-step explanation:

This is a reflection across the x-axis because it is the same thing but reflected.

Hope this helps.

Answer:

if line segement XY is congruent to line segment MN, the line segemnt MN is congruent to line segment XY

Step-by-step explanation:

:)

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]

Answer:

it is 5/2

Step-by-step explanation:

Answer:

7.07

Step-by-step explanation:

See image for explanation

Answer:34.00-29.99=4.01. 4.01÷0.17=

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

140-56= 84

140-84=56

160-84=76

Answer:

4^3 and 8^2

Step-by-step explanation:

Answer:

12

2

Step-by-step explanation:

4 × 4 × 4 × 8 x 8

Solution:

2 2 2 3 3 2+2+2+3+3

2 x 2 x 2 x 2 x 2 = 2

12

2

2 raised to the 12 power