Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the distance between X and Z. Find the bearing of Z from X.

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  [tex]h=-8t^2+40t[/tex]  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

[tex]\frac{dh}{dt} =0[/tex]

Now the differentiating the equation with respect to time t, we get

[tex]\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)[/tex]

[tex]\frac{dh}{dt}=-16t+40[/tex]

For maximum height,  [tex]\frac{dh}{dt} =0[/tex]

So, [tex]-16t+40=0[/tex]

 [tex]\Rightarrow 16t=40[/tex]

[tex]\Rightarrow t=\frac{40}{16}[/tex]

[tex]\Rightarrrow t = 2.5[/tex]

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

Answer:

m arc NP = 151°

Step-by-step explanation:

m arc MN = x

m arc NP = y

5x + 6 = y

x + y = 180, I will solve with substitution

x + (5x + 6) = 180

6x + 6 = 180

6x = 174

x = 29

y = 151

Answer:

151 or c

Step-by-step explanation:

Answer:

The highest or the lowest point on the graph is the vertex of an absolute-value function!

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 3x + 2

To find f(5) substitute 5 into f(x)

That's

f(5) = 3(5) + 2

= 15 + 2

= 17

Hope this helps you

Answer:

17

Step-by-step explanation:

You just plug 5 into the equation

f(5)= 3(5)+2

=15+2

=17

Hope this helped! :)

Answer:

The correct option is;

With the compass point on G, construct an arc that intersect GD←→

Step-by-step explanation:

The steps for constructing a parallel line to a given point is as follows;

1) With the straightedge, a transversal is drawn intersecting the giving line and passing through point G

2) Copy the angle formed between the transversal and the given line and the to the point G starting by constructing an arc with the compass on point G to intersect GD←→ then with the compass opening still the same, place the compass on the point of intersection of the arc constructed from point G on GD and construct another arc to intersect the arc previous arc from G to GD

3) The line drawn from the intersection through is a parallel line to EF

Therefore, the correct option is that with the compass point on G, construct an arc that intersect GD←→.

Answer:

A.  With the compass on point D , construct an arc that intersects EF¯¯¯¯¯ and GD←→.

Step-by-step explanation:

I just took the test!

Answer:

hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.

B. 7 cups

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

Number of cups used to make muffins = 3 1/5

Estimation = 3 cups

Number of cups used to make banana bread = 3 2/3

Estimation = 4 cups

Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread

= 3 + 4 cups

= 7 cups.

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

Learn more about fraction here:

https://brainly.com/question/78672

#SPJ2

Answer:

The answer is

[tex]y = \frac{4}{5} x - 6[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

m / slope = 4/5

c / y intercept = - 6

Substituting the values into the above formula

We have the final answer as

[tex]y = \frac{4}{5} x - 6[/tex]

Hope this helps you

Answer:

the  correct answer is C.

Step-by-step explanation:

i got it right on edge 2020

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

7b = 77

b = 77/7

b = 11 units

Since x = b, x = 11 units

The value of x is 11

Start by calculating the area (A) of the trapezoid using

[tex]A= 0.5 * (a + b)h[/tex]

Using the parameters from the complete question, we have:

[tex]63 = 0.5 * (7 + x) * 7[/tex]

Multiply both sides by 2

[tex]126 = (7 + x) * 7[/tex]

Divide both sides by 7

[tex]18 = 7 + x[/tex]

Subtract 7 from both sides

[tex]x = 11[/tex]

Hence, the value of x is 11

Read more about shaded areas at:

https://brainly.com/question/24579466

Answer:

b)

Step-by-step explanation:

Surface area of a cube = 6a²   , here a is the side of cube

When side is halved, side = a/2

Now, the surface area of new cube = 6* (a/2)²

                                                           = [tex]6*\frac{a^{2}}{4}=\frac{1}{4}*6a^{2}\\[/tex]

                                                            = one fourth of the cube

This question is incomplete

Complete Question

Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio. A quadrilateral is broken into a triangle and rectangle. The triangle has a base of 20 feet and a height of 6 feet. The rectangle has a base of 20 feet and a height of 12 feet. How many total stone tiles will Mr. Connor need for the patio?

Answer:

300 tiles

Step-by-step explanation:

From the above question, we know that the patio is a combination of a triangle and a rectangle.

Step 1

Find the area of the shape

a) Area of the Triangle = 1/2 × Base × Height

Base = 20 feet

Height = 6 feet

Area = 1/2 × 20 × 6

Area = 60 square feet

b) Area of the rectangle

= Length × Breadth.

The rectangle has a

Base = Breadth = 20 feet

Height = Length = 12 feet

Area = 20 × 12 = 240 square feet.

Total Area of the patio

= Area of Triangle + Area of square

= 60 square feet + 240 square feet

= 300 square feet

Step 2

We are told that each stone tile = 1 square foot.

Hence, if the total area of the patio = 300 square feet, the number of stone tiles that would be used is

1 square foot = 1 stone tile

300 square feet = 300 stone tiles.

Therefore,the total stone tiles that Mr. Connor will need for the patio is 300 stone tiles.

Answer:

The answer is 300

Step-by-step explanation:

Answer:

B) 5 + 17i is your answer.

Step-by-step explanation:

In order to write this equation as a complex number in standard form, you must first simplify each term.

Apple the distributive property.

21 - 4i - 1 * 16 - (7i) + 28i

Multiply -1 by 16.

21 - 4i -16 - (7i) + 28i

Multiply 7 by -1.

21 - 4i - 16 - 7i + 28i

Now simplify by adding terms :)

Subtract 16 from 21.

5 - 4i - 7i + 28i

Subtract 7i from -4i.

5 - 11i + 28i

Add -11i and 28i.

= 5 + 17i

If Amir is not courageous, then he will not join the indian army.

Answer:

1 Pound of Rock = .01 cubic feet

OR 100 pounds per cubic foot

A) Company needs 500,000 pounds of rock

Volume of Rock to be transported: = 500,000 * .01 =

5,000 cubic feet

B) Volume of each truck 12 * 9 * 8 = 864 cubic feet

C) Trucks needed for entire shipment:

= 5,000 / 864 = 5.78

So, we'll need 6 trucks.

Step-by-step explanation:

Answer:

[tex] \mathsf{ {5x}^{2} + 28x + 21}[/tex]

Option A is the right option.

Step-by-step explanation:

Let's find the area of large rectangle:

[tex] \mathsf{(3x + 6)(2x + 4)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses

[tex] \mathsf{ = 3x(2x + 4) + 6(2x + 4)}[/tex]

Calculate the product

[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 6 \times 4}[/tex]

Multiply the numbers

[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 24}[/tex]

Collect like terms

[tex] \mathsf{ = {6x}^{2} + 24x + 24}[/tex]

Let's find the area of small rectangle

[tex] \mathsf{(x - 3)(x - 1)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses

[tex] \mathsf{ = x( x - 1) - 3(x - 1)}[/tex]

Calculate the product

[tex] \mathsf{ = {x}^{2} - x - 3x - 3 \times ( - 1)}[/tex]

Multiply the numbers

[tex] \mathsf{ = {x}^{2} - x - 3x + 3}[/tex]

Collect like terms

[tex] \mathsf{ = {x}^{2} - 4x + 3}[/tex]

Now, let's find the area of shaded region:

Area of large rectangle - Area of smaller rectangle

[tex] \mathsf{6 {x}^{2} + 24x + 24 - ( {x}^{2} - 4x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \mathsf{ = {6x}^{2} + 24x + 24 - {x}^{2} + 4x - 3}[/tex]

Collect like terms

[tex] \mathsf{ = {5x}^{2} + 28x + 21}[/tex]

Hope I helped!

Best regards!

Answer:

see explanation

Step-by-step explanation:

If x = 3 is a zero then p(3) = 0 , that is

p(3) = 3(3)² - 27 = 3(9) - 27 = 27 - 27 = 0

Thus x = 3 is a zero of p(x)

Answer:

Step-by-step explanation:

p(x) = 3x² - 27

p(3) = 3*3² - 27

      = 3 * 9 - 27

     = 27 - 27

    = 0

p(3) =0 . Therefore, 3 is z zero of p(x)

Answer:

192km^2

Step-by-step explanation:

Well there are 5 surfaces

1) The back one

10km*6km=60km^2

2) the square

(6km)^2=36km^2

3) the two triangles

2(6km*8km/2)=48km^2

4) the front one

6km*8km=48km^2

add all up and get

192km^2

Answer: 192 square kilometers

Step-by-step explanation:

Two triangular Sides A=bh/2 8×6/2=24

So add two of them. : 48

Back side 10 × 6 = 60

Top 6×6=36

Front 6×8=48

Total: 48+60+36+48=192

Answer:

b=3a/8

a=8b/3

Step-by-step explanation:

b/a=k ( k is the constant proportional)

3/8=9/24=15/40

b/a=3/8

b=3a/8

a=8b/3

I hope this is right answer

Answer:

D

Step-by-step explanation:

This is an illustration of Pythagoras' identity.

The square on the hypotenuse x of a right triangle is equal to the sum of the squares on the other 2 sides, that is

x² = 8² + 6² = 64 + 36 = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10 cm → D

Answer:

D. 10 cm

The answer is 10 cm. This can be found through the use of Pythagorean. Theorem because it is a right triangle and you are finding the hypotenuse.

HOPE THSI HELPS

PLSSSSS MARK AS BRAINLIEST

THANK YOU..

Answer/Step-by-step explanation:

The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.

Length of new radius = length of the radius of the dilated circle × scale factor of dilation

Length of the radius of the dilated circle is given as 18m

Therefore,

Length of new radius = 18m × scale factor.

If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.

Let's assume any of the following scale factors was what was given in the question:

*If scale factor given is ½, new radius length = 18m × ½ = 9m

*If scale factor given is 2, new radius length = 18m × 2 = 36m

x = 64°

Step-by-step Explanation

x = 1/2[(360° - 2*58°)-2*58°]

x = 1/2[(360° - 2*58°) - 2*58°]

x = 1/2[(360° - 116°) - 116°]

x = 1/2[244° - 116°]

x = 1/2[128°]

x = 64°

Answer:

Option D.

Step-by-step explanation:

From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.

The curves represent the graph of [tex]y=\tan x[/tex].

We need to find the equation which is represented by the intersection of the graphs.

We have two equations one is for curve and another for horizontal line.

[tex]y=\tan x[/tex]

[tex]y=-1[/tex]

Equate both equations to get the equation which is represented by the intersection of the graphs.

[tex]\tan x =-1[/tex]

Therefore, the correct option is D.

The diagonal of the square is the same as the diameter of the circle.

So, the diameter of the circle is 36.

Circumference formula:

C = 2πr

To find the radius, we just need to divide the diameter by two:

36 / 2 = 18

Now, solve using the given values.

C = 2π(18)

C = 36π

Therefore, the answer is D.

Best of Luck!

Answer:

Step-by-step explanation:

y=x²+3

vetex=(h,k) in the equation : ax²+bx+c

y=x²+3 ( a=1,b=0,c=0)

h=-b/2a=0

k=c=3

Answer:

Hey there!

Let the cost of one uniform be c, so the expression becomes

c+13+11+18

Thus, we have c+42

Hope this helps :)

Answer:

32

Step-by-step explanation:

13+11+8=32

Answer:

140 degrees.

Step-by-step explanation:

As MQ  = NR and MNOP is a trapezoid MNRQ is an isosceles trapezoid.

So m<MNR = m < NMQ.

Answer:

Option D. 5 EE 6 ÷ 6.6 EE 4

Step-by-step explanation:

Data obtained from the question include the following:

Area of land purchased = 6.6×10^4 square miles

Cost = $ 5×10^6

To determine the key strokes on a calculator which will give the cost the

United States paid for each square mile of Florida, let us calculate cost of 1 square mile.

This can be obtained as follow:

6.6×10^4 sq mile = $ 5×10^6

Therefore,

1 sq mile = $ 5×10^6 ÷ 6.6×10^4

In calculator, the key strokes will be:

5 EE 6 ÷ 6.6 EE 4

Answer:

Like Eduard22sly said D). 5 EE 6 ÷ 6.6 EE 4 is correct.

plus i took the test 100% :)

Answer:

m² - 100 = -99

Step-by-step explanation:

Two numbers are 10 units away from the midpoint m in different directions.

So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.

(m + 10) ( m-10) = -99

m² - 10² = -99

m² - 100 = -99

Answer:

$35

Step-by-step explanation:

Using the formula provided, d=(p−c)÷2 (where d is the discount, p is the original price, and c is the store's cost for the dress.) we can determine the discount.

The original price is 120,

d=(120−c)÷2

The store's cost is 50,

d=(120−50)÷2

So we subtract 120 and 50 to get

d=(70)÷2

70 divide by two is

d= 35

The discount is $35

Answer:

1 and 3/7 hour

Step-by-step explanation:

Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.