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3 years ago

Find the measure of the missing angle Answer: a=

Mathematics

2 answers:

svet-max [94.6K]3 years ago

7 0

Answer:

68°

Step-by-step explanation:

That's an right angle so it's equal to 90°

To find a

90-22=68°

solong [7]3 years ago

5 0

Answer:

Hello! answer: a = 68

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

90 - 22 = 68 therefore a = 68 hope that helps!

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Find the values of x and y

const2013 [10]

Answer:

x = 79 y = 22

Step-by-step explanation:

x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22

7 0

3 years ago

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the dis

Triss [41]

The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

<h3>What is Distance and Displacement ?</h3>

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

To know more about Distance and Displacement

https://brainly.in/question/47777661

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6 0

2 years ago

Write an algebraic expression for “the mass m of a package reduced by 536 grams.” Then evaluate the expression for a package tha

pantera1 [17]

M - 536 <== ur expression

when the mass is 781 grams...
781 - 536 = 245

so the mass of the package is 781....and when it is reduced by 536 grams, it equals 245 grams

6 0

3 years ago

What are the 5 pieces of data needed to make a box plot?

Aleksandr [31]

Answer:

Min

Max

Median

8 0

4 years ago

The dimensions of a rectangular garden were 4m by 5m. Each dimension was increased by the same amount the garden then had an are

pogonyaev

The dimension of new garden is 7 meter by 8 meter

Solution:

The dimensions of a rectangular garden were 4m by 5m

Length = 4 m

Width = 5 m

Each dimension was increased by the same amount the garden then had an area of 56 square meter

Let "x" be the amount of increase

Then,

Length = 4 + x

Width = 5 + x

Also, given that,

New area = 56 square meter

The area of rectangle is given as:

$Area = length \times width$

Substituting the values we get,

$56 = (4+x)(5+x)\\\\56 = 20 + 4x + 5x + x^2\\\\x^2 + 9x + 20 - 56 = 0\\\\x^2 + 9x -36=0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text{For } x^2+9x-36 \text{ we get , }$

a = 1 and b = 9 and c = -36

Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,

$x = \frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-36\right)}}{2\cdot \:1}\\\\x = \frac{-9\pm \sqrt{81+144}}{2}\\\\x = \frac{-9 \pm 15}{2}$

We get two solutions,

$x = \frac{-9+15}{2} \text{ or } x = \frac{-9-15}{2}\\\\x = 3 \text{ or } x = -12$

Since dimension cannot be negative, ignore x = -12

Thus solution is x = 3

Length = 4 + x = 4 + 3 = 7

Width = 5 + x = 5 + 3 = 8

Thus dimension of new garden is 7 meter by 8 meter

5 0

3 years ago