Calculate the area of the isosceles trapezium drawn below:

Answer:

Step-by-step explanation:

If a number gets increased by scale factor = k

Then k > 1

If the number gets decreased by a scale factor 'k'

Then 0 < k < 1

Let numbers gets increased by the scale factor = 2,

And decreased by the scale factor = [tex]\frac{1}{2}[/tex]

Numbers             Scale up by 2           Scale down by [tex]\frac{1}{2}[/tex]

   0.05                  0.05 × 2 = 0.1             0.05 × [tex]\frac{1}{2}[/tex] = 0.025

    [tex]\frac{1}{2}[/tex]                        [tex]\frac{1}{2}\times 2 = 1[/tex]                      [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]

    7                       7 × 2 = 14                     7 × [tex]\frac{1}{2}[/tex] = 3.5

   13                      13 × 2 = 26                  [tex]13\times \frac{1}{2}=6.5[/tex]

   25                     25 × 2 = 50                 [tex]25\times \frac{1}{2}=12.5[/tex]                

  102                   102 × 2 = 204              [tex]102\times \frac{1}{2}=51[/tex]

Answer:

10-35-45 and 5-17.5-22.5

Step-by-step explanation:

Answer:

red candies

Step-by-step explanation:

Statistically:

• 2/3 (20/30) times the candy will be pink

• 4/15 (8/30) times the candy will be red

• 2/5 (12/30) times the candy will be green

[tex] \frac{20}{30} > \frac{12}{30} > \frac{8}{30} [/tex]

Red candies will be least likely to be pulled.

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

2 and 4

Step-by-step explanation:

This image shows an example on corresponding angles.

Answer:

Angle 2 and 4

Answer:

There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.

Step-by-step explanation:

The null hypothesis ; H0 : μ = 32

The alternative hypothesis : H1 : μ ≠ 32

The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :

There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.

Answer: 50 pizzas

Step-by-step explanation:

22 x 5 = 110

110 / 5 = 20

Answer:

$0.83

Step-by-step explanation:

Its teh only one that makes sense since the 2nd is under, 3rd is over, and 4th is for lazy people

Answer:

a

Step-by-step explanation:

Answer: 270 people

Step-by-step explanation:

The ratio of the number of people who get their news from social media to the number of people who their news from other sources is 3 to 7.

This shows that the number of people who get their news from social media is 3 out of 10 i.e (3+7).

Therefore, the number of people in a town of 900 people that get their news from social media will be:

= 3/10 × 900

= 270 people.

Answer:

is it right

Step-by-step explanation:

Answer: it’s 25 from the height line

Step-by-step explanation:

Answer:

0,25

Step-by-step explanation:

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]

[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]

[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]

[tex]64 = 314 - 510 \times \cos(h) [/tex]

[tex] - 250 = - 510 \times \cos(h) [/tex]

[tex] \frac{250}{510} = \cos(h) [/tex]

[tex] \frac{25}{53} = \cos(h) [/tex]

Take the arcos or cosine inverse

[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]

Which is about 62 degrees.

Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

Answer:

20°C

Step-by-step explanation:

Quantity if heat energy supplied is expressed as;

Q = mcΔt

m is the mass = 3kg

Δt is the temperature rise

Q = 5400J

c = 900 J/kg °C

Substitute

5400 = 3(90)Δt

5400 = 270Δt

Δt = 5400/270

Δt = 20°C

Hence the temperature rise is 20°C

Answer:

x=23

Step-by-step explanation:

90 - 65 = 25

25 - 2 =23

Answer:

[tex]the\: answer \: is \: {108 \: mi.}^{2} [/tex]

Step-by-step explanation:

Given hints:

a.) A park has the shape of a trapezoid.

b.) The shortest side of the park and its height have the same dimension.

In the given figure, the shortest side of the park is A. Since it is mentioned that the height and its shortest side have the same dimension, we can therefore say that the measure of A is 9 mi.

The longest side appears to be 6 miles longer that the shortest side:

[tex]b = a + 3 \: mi + 3 \: mi = a + 6 \: mi[/tex]

Therefore, B = A + 6 mi. = 9 mi. + 6 mi. = 15 mi.

Let's now determine the area of the park:

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

Where,

A = 9 mi.

B = 15 mi

H = 9 mi.

[tex]area = \frac{a + b}{2} h \\ \\ = \frac{9 \: mi. +15 \: mi. }{2} (9 \: mi.) \\ \\ = \frac{24 \: mi.}{2}(9 \: mi.) \\ \\ = (12 \: mi.)(9 \: mi. \\ \\ area = {108 \: mi.}^{2} [/tex]

The area of the park is 108 mi^2.

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

Answer:

Ask a tutor girl under it you will see ask a tutor so click that

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6,   y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

So these are vertical angles (share a vertex) which means they are the same measure. Set them equal to each other to find x

[tex](5x) = 100[/tex]

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

[tex]x = \frac{100}{5}[/tex]

Answer:

[tex]x = 20[/tex]

Answer:

common factor: 5x

5x (7x - 2)

Step-by-step explanation:

first, simplify the polynomial:

5x² + 30x² - 10x = 35x² - 10x

common factor: 5x

5x (7x - 2)

Answer:

anything that is greater than 6 like 7, 8, 9, 10, 11, etc...

cuz the inequality would be true; 7 > 6, 10 > 6, etc...

Step-by-step explanation:

hope this helps...

(─‿─)

Answer:

The answer is -8 and 8

[tex]\sqrt{x} x^{2}[/tex]