If Ann travels 50 meters North, 200 meters East and 150 meters South, what is her total distance travelled ? A. 150 meters B.400 meters C. 250 meters D. 0 meter

Answer:

∠PSR=90°

m∠QSR= 90-m∠QSP

x= 90-58=32°

Step-by-step explanation:

The actual value of the x is 32°.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Given quadrilateral is a rectangle.

All the four interior angles of a rectangle is perpendicular angle or is 90 degrees.

So measure of ∠PSR = 90°

m ∠QSR + m ∠QSP = 90°

Given that m ∠QSP = 58°

Substituting,

m ∠QSR + 58° = 90°

m ∠QSR = 90° - 58°

              = 32°

So x° = 32°

Hence the error is that both the angles are made to be equal instead of making the sum of the angles equal to 90°.

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Answer:

s

Step-by-step explanation:

Answer:

fourth option) 5/8 lb

Answer:

200

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

plants in the garden = area of the garden / number of plants per square meter

the garden is in the shape of a triangle

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

(1/2) x 24 x 7 = 84 meters^2

plants in the garden = 84/3 = 28  

Answer

5/36 ([tex]\frac{5}{36}[/tex])

Answer:

22/35

Step-by-step explanation:

27/9 = 3

3 × 11/5 ×2/21

=22/35

Answer:

The height of the kite from the ground is 13.617 feet  

Step-by-step explanation:

Given as :

The measure of the string = 30 feet

The angle of elevation from the boy to his kite = 27°

Let the height of the kite from ground = H feet

So, From Triangle

Sin angle =

Or, Sin 27° =  

or, H = 30 ×  Sin 27°

I.e H = 30 × 0.4539

∴ H = 13.617 feet

Hence the height of the kite from the ground is 13.617 feet   Answer

Answer:

8x+5005073

Step-by-step explanation:

Answer:

x=3.5

Step-by-step explanation:

To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ.  DF=7 and XZ=3x. So, the ratio is 7:3x.

To  find x, we first find out what 3x is.  In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.

Answer:

60

Step-by-step explanation:

half of 2/5 is 1/5 so half of 24 is 12.

since 12  is 1/5 of the number multiply 12 by 5 and you get 60.

The whole number will be 60 whose two fifths will be 24.

Given, Two fifths of a number is 24.

Writing in form of equation,

Let the whole number be x.

So, two fifth of x is 24.

[tex]\frac{2}{5} of x = 24[/tex]

[tex]\frac{2}{5} \times x = 24[/tex]

Apply cross multiplication,

[tex]x = \frac{24 \times 5}{2}[/tex]

x = 60.

Therefore the whole number is 60.

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Answer:

4.52

Step-by-step explanation:

volume of cone is

[tex]\pi {r}^{2} \frac{h}{3} [/tex]

h is 2.2

and

r is 1.4

Answer:

y - 6 = -1 (x+5)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1} \\[/tex]. Substitute the x and y values of (-5,6) and (0,1) into the formula and simplify like so:

[tex]m = \frac{(1)-(6)}{(0)-(-5)} \\m = \frac{1-6}{0+5} \\m = \frac{-5}{5} \\m = -1[/tex]  

So, the slope of the line is -1.

2) Now we have enough information to write the equation of the line in point-slope form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope of the line, substitute -1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (-5, 6) in those places as well. This gives the following equation and answer:

[tex]y-6 = -1(x+5)[/tex]

the answer should be 175

Answer:

B: 60mm

Step-by-step explanation:

Answer:

B. 60 mm

Step-by-step explanation:

1 cm = 10 mm

6 cm = 6 * 1 cm = 6 * 10 mm = 60 mm

Answer: B. 60 mm

Answer: The other team is extra information. 150 – 60 = 90

He got 90 yards running.

Step-by-step explanation:

Answer:

I think 3

Step-by-step explanation:

Step-by-step explanation:

division fractions that's how u will rewrite them

Answer:

1±√2=q

or

q=2.41, -0.41

Step-by-step explanation:

we are given the equation q²-2q-1=0, and we want to use the quadratic equation, which is (-b±√(b²-4ac))/2a

a is 1 (there is a 1 in front of q²)

b is -2

c is -1

substitute into the equation:

q=(2±√(4-4*1*-1))/2

solve for the discriminant:

√(4-4(1*-1))

√8

now the equation:

(2±√8)/2=q

simplify:

1±√2=q

or if your application asks for a decimal:

√2≈1.41

so:

1+1.41=2.41=q

or

1-1.41=-0.41=q

Hope this helps!

Answer:

7. 7.1+5.4+2.9=15.7

10.3+5.4=15.7

8. 373.4 - 152.9 = 220.5

373.4 - 153 = 220.4

220.4 - 0.1 = 220.5

9. 18.25 + 7.99 + 4.75 = 30.99

10. 1.05 + 3 + 4.28 + .95 = 9.28

11. 302.504

12 50.5

Answer:

V=301.44ft^3

Step-by-step explanation:

l^2°r^2r^2+h^2

10^2=6^2+h^2

100=36+h^2

100-36=h^3

h^2=64

h=8

Volume of cone:

1/3πr^2h

1/3(π)(6)^2(8)

301.44ft^3

Hope it helps....

Answer: C

Step-by-step explanation:

Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

Answer:

i think its c hope it helps

Step-by-step explanation:

Answer:

21 and 6

Step-by-step explanation:

a will be the larger, b the smaller:

a - b = 15

2b + 3a = 75

First, we'll solve the first equation for a in terms of b:

a = b + 15

Then substitute that in for a in the second equation to get a numerical value for b:

2b + 3(b + 15) = 75

2b + 3b + 45 = 75

5b = 30

b = 6

Next, we'll get a numerical value for a:

a - b = 15

a - 6 = 15

a = 21

Check the math:

2(6) + 3(21) = 12 + 63 = 75

Please lmk if you have questions.

Answer:

it's the third option

Step-by-step explanation:

I think I'm pretty sure

hope this helped ;)

Answer:

graph is shown

Step-by-step explanation:

slope: -1/3

y intercept: (0,-17/3)

Answer:

X = 60 degrees

Answer

80°

Step by Explanation:

the angle right to 60°= 180-60 (linear pair)

= 120°

total angle of 5 sided polygon= 540°

540° = x + 110° + 130° + 100° + 120°

540° = x + 460°

x= 540° - 460°

x = 80°

Answer:

2

Step-by-step explanation:

14 / (7)

Answer:

Step-by-step explanation:

Answer: -6,-7,-8 etc.

Step-by-step explanation: -2 times -6 = 12 bc  a negative times a negative = a positive, and -2×-5=10 which is equal to 10 so if we try -6 it gives us 12 which is greater than 10.

Hope this helps!