Q12
A woman needs to work out how long it will take to drive to York.
20
G
She checks the journey on a website.
The distance from her house to York is 80 miles.
20 miles of the journey are through roadworks with a speed restriction of 40mph.
She should drive the rest of the journey at an average speed of 50mph​

Answer:

B

Step-by-step explanation:

[tex]90 = 60 + 3x \\ 30 = 3x \\ x = 10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.

It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.

But,

80 + 85 < 180

100 + 95 > 180

Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

Answer:

132 ft³

Step-by-step explanation:

L=11    W=3   H=4

V=LWH

V=(11)(3)(4)

V=132 ft³

Answer:

[tex]g'(n) = -\frac{n+1}{3}[/tex]

Step-by-step explanation:

Given

[tex]g(n) = -3n - 1[/tex]

Required

Determine the inverse

[tex]g(n) = -3n - 1[/tex]

Replace g(n) with y

[tex]y = -3n - 1[/tex]

Swap positions of x and y

[tex]n = -3y - 1[/tex]

Make y the subject

[tex]3y = -n - 1[/tex]

[tex]3y = -(n + 1)[/tex]

[tex]y = -\frac{n+1}{3}[/tex]

Replace y with g'(n)

[tex]g'(n) = -\frac{n+1}{3}[/tex]

Answer:

Measurement of AB = 8.6 units (Approx.)

Step-by-step explanation:

Given:

Coordinate of point A = (3 , 9)

Coordinate of point B = (8 , 2)

Find:

Measurement of AB

Computation:

Distance = √(X1 - X2)² + (Y1 - Y2)²

Measurement of AB = √(3 - 8)² + (9 - 2)²

Measurement of AB = √25 + 49

Measurement of AB = √74

Measurement of AB = 8.6 units (Approx.)

Answer:

What???

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

Answer:

I think it's 2000

Step-by-step explanation:

Answer:

The area of Alison's pizza would be 30 in.

Answer:

Step-by-step explanation:

Given that:

[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]

[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]

[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]

[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]

[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]

Answer:

Im pretty sure it is 48 but it could be 96

Step-by-step explanation:

I just found the area and halved that.

Answer:

Step-by-step explanation:

Divide the pentagon radially into 5 congruent, isosceles triangles.

Area of one triangle = ½×7.2×4.955 = 17.838 mm²

area of pentagon = 5×17.838 mm ≅ 89.2 mm²

Answer:

46.95 in.²

Step-by-step explanation:

Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H

Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²

Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.

Height of prism (H) = 10 in.

Plug in the values

Surface area = 1.95 + 4.5*10 = 46.95 in.²

Answer:

Step-by-step explanation:

x/50 = 12/24

24x = 600

x= 25

Answer:

3 6 520; 6 235; 6 250.

Answer: The answer is B

Step-by-step explanation:

Answer:

maybe u should have paid attention in class buddy

Step-by-step explanation:

L

Answer:

4

Step-by-step explanation:

2 cookies + 2 cookies = 4 cookies!

The more cookies the better!

Answer:

x = 4

Step-by-step explanation:

6(+4)=48

6+24=48

6+24=48

6+24−24=48−24

6=24

6=24

6/6=24

...

Answer:

45% Of the cars are there

because it says 45% so I am pretty sure that is it

Answer:

2 11/12 cups of flour

Step-by-step explanation:

2 recipes are 2 1/2 cups of flour  

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12  

So, 2 11/12 cups of flour

The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is

7x ² + 9x + 2 = 0

→   x ² + 9/7 x + 2/7 = 0

This step isn't actually necessary to begin with since the starting quadratic is easily factorized:

7x ² + 9x + 2 = (7x + 2) (x + 1) = 0

Then

7x + 2 = 0   or   x + 1 = 0

7x = -2   or   x = -1

x = -2/7   or   x = -1

Answer:

rrir

Step-by-step explanation:

e8

Answer:

Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .

Step-by-step explanation:

base = 40

height = 16

Area of parallelogram = b×h = 40× 16= 640

Answer:

the area of the shaded area is 160 cm ²

Step-by-step explanation:

Hey There!

so the first step in solving this problem is to find the area of the whole shape

This is a trapezoid and the formula for area of a trapezoid is

[tex]A=\frac{a=b}{2} h[/tex]

a = base 1 (20)

b = base 2  (40)

h = height (16)

now we plug in the values

[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]

so the area of the trapezoid is 480

The next step is to find the area of the triangle

To do so we use this formula

[tex]A=\frac{hb}{2}[/tex]

h = height (16)

b = base (20)

now we just plug in the values

[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]

The area of the triangle is 160

Answer:

4 7/15

Step-by-step explanation:

Hope this helps :)

Answer:

9

Step-by-step explanation:

X MULTIPLIED BY 3 EQUALS 9 SINCE X=3

Answer:

9

Step-by-step explanation:

x=3

3*3= 9

so value of 3x = 9