Lottie and Ollie shared some money in the ratio 5:1.
Ollie received £15.
How much did Lottie receive?

Answer:

XY = 13 cm

Step-by-step explanation:

Area of a triangle formula:

area = base × height / 2

a = bh / 2

Plug numbers into equation:

32.5 = b × 5 / 2

Multiply both sides by 2 to isolate the variable

65 = b × 5

Divide both sides by 5 to isolate the variable

13 = b

Check your work:

32.5 = 13 × 5 / 2

32.5 = 65 / 2

32.5 = 32.5

Correct

Answer:

13

Step-by-step explanation:

Area=½×b×h

32.5=½×b×5

32.5=5/2b

To get be multiply each side by reciprocal of 5/2 which is 2/5

b =13

Answer:

option b 66.5u square is the correct ans

Step-by-step explanation:

Diameter = 2r

= 7.7 = 2r

7.7/2 = r

3.85=r

Answer:

10 inches long

Step-by-step explanation:

Answer:

10 inches is the anwser

Step-by-step explanation:

8 +2 =10

Answer: $60

Step-by-step explanation:

Given

The price of an item is $80

The discount on it is 25%

Net payable price =Regular Price- discount

[tex]\Rightarrow \text{Net Payable Price(P)}=80-25\%\ \text{of}\ 80\\\Rightarrow P=80(1-0.25)=80\times 0.75\\\Rightarrow P=\$60[/tex]

Answer:

The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles. ... Then a/b = A/B, which means that this ratio is a constant. The same for a/c = A/C, and b/c = B/C

Hope it helps

Please mark me as the brainliest

Thank you

We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Similar right triangles can be used to derive the definitions of trigonometric ratios, which are commonly abbreviated as sin, cos, and tan.

Consider a right triangle ABC, where angle A is the right angle.

Let's draw another right triangle ABD where angle A is also the right angle and angle B is congruent to angle D.

We say that triangles ABC and ABD are similar, which means that their corresponding angles are congruent and their corresponding sides are proportional.

Let's label the sides of triangle ABC as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side b.

The side opposite angle C is side c.

We can label the sides of triangle ABD as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side x.

The side opposite angle D is side y.

Since triangles ABC and ABD are similar, we can write the following proportion:

b / a = x / y

Solving for b, we get:

b = (x / y) * a

Now, we can use the Pythagorean theorem to relate the sides of triangle ABC:

a² = b² + c²

Substituting b with its value, we get:

a² = ((x / y) a)² + c²

Simplifying, we get:

a² = (x² / y²) a² + c²

Multiplying both sides by y², we get:

a² x y² = x² a² + c² y²

Now, we can solve for x/y, which is equal to sin(B) and y/a, which is equal to cos(B):

sin(B) = x / y = sqrt(a^2 - c^2) / a

cos(B) = y / a = c / a

Similarly, we can consider another triangle ABE, where angle A is the right angle and angle B is congruent to angle E.

We say that triangles ABC and ABE are also similar.

Let's label the sides of the triangle ABE as follows:

The side opposite angle A is side a (the hypotenuse).

The side opposite angle B is side x.

The side opposite angle E is side z.

Using the Pythagorean theorem for triangle ABC, we get:

a² = b² + c²

Substituting b with its value from triangle ABE, we get:

a² = ((z / x) a)² + c²

Simplifying, we get:

a² = (z² / x²) x a² + c²

Multiplying both sides by x², we get:

a² x² = z² a² + c² x²

Now, we can solve for z/x, which is equal to tan(B):

tan(B) = z / x = √(a² - c²) / c

Therefore,

We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.

Learn more about trigonometric identities here:

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Answer:

The answer is 99,220!!

Step-by-step explanation:

Did you mean to type quotient?

He tells the government his opinion and then multiple army tanks come and blast him, bad ending.

Step-by-step explanation:

In a triangle, the hypotenuse is the longest side

=>7x+3

=7(8)+3

=56+3

=59

Answer:

your cute to

Step-by-step explanation:

Answer:

lol id.k

Step-by-step explanation:

if they cute too say " ty u too;)"

jp I'm bad at giving advice...

Answer:

Neither A or B

Step-by-step explanation:

Hello There!

In order for a set of ordered pairs to represent a function none of the x values can repeat

In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function

In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function

so we can conclude that neither set of ordered pairs represent a function

Answer:

4/9

Step-by-step explanation:

At t = 0 ; volume = 270

At t = 1.5 ; volume = 80

y = P(1 - r)^t

y =ab^x (exponential)

a = initial amout at t = 0

y = final amount

t = 1.5

80 = 270b^t

80/270 = b^t

8/27 = b^1.5

8/27 = b^3/2

b^3/2*2/3 = (8/27)^2/3

Cube root of 8/27 = 2/3

Square of 2/3 = (2/3)^2 = 4/9

Answer:

3

Step-by-step explanation:

3.34in is ans and after rounding off we can get 3

Answer:

For z I don't know what to do but thats for x, maybe someone else could find z for you :)

Step-by-step explanation:

5x - 89 = 61

      +89    +89

----------------------

5x = 50

----    -----

5         5

x = 10

Answer:

k>91/12

Step-by-step explanation:

120<12k+29

12k>120-29

12k>91

k>91/12

Answer:

98

Step-by-step explanation:

x+30+52=180

x+82=180

x=180-82

x=98

Answer:

The mapping can also be represented as the set of ordered pairs: (4, 9) (5, 10) (6, 11) (7, 12). The ordered pair preserves the directional property of the relation. It is consistent with the order of points plotted on a Cartesian Plane represented by (",$). In the Arrow Diagram that follows.

Step-by-step explanation:

Answer:

The answer is 3.

Step-by-step explanation:

If z equals 2 then you are supposed to multiply 2 by 3 and then subtract 3 since x equals 3.

Answer:

i think mr phillip bought more fruit

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

h=8 in

Step-by-step explanation:

Formula: V=pi r^2 h

Cylinder A:

radius: 4 in  height: 2 in

V=pi*4^*2*2

V=pi*16*2

V=pi*32

V=3.14*32

V=100.48

Cylinder B:

radius: 2 in  height: ?  volume: 100.48

100.48=pi*2^2*h

100.48=pi*4*h

100.48=3.14*4*h

100.48=12.56*h

100.48/12.56=h

h=8 in

Hope this helps :)

Plz give me brainliest

Answer:

shifts to the right 3 units and up 2 units

Answer:

3

Step-by-step explanation:

50+10=60

20 x 3= 60

 Tom needs to sell at least 5 paintings to break even.

1. Cost price = Selling price − profit ( when selling price and profit are given )

2. Cost price = Selling price + loss ( when selling price and loss are given )

Given here each canvas and painting cost $10 and he bought brushes for $50. Now for each painting his profit is = $20-$10 = $10 but he has still miscellaneous expenses for the brushes to account for hence to break even he has to make a profit totaling $50 thus he must sell 5 paintings to break even.

Hence, he has to sell 5 paintings

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Answer:

7/10

Step-by-step explanation:

To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed.

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

Answer:

Answer:

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Step-by-step explanation:

Given

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]

[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]

[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Convert each list item to decimal

[tex]1.94 * 10 ^-5 = 0.0000194[/tex]

[tex]1.25 *10 ^-2 = 0.0125[/tex]

[tex]6 *10^{4} = 60000[/tex]

[tex]8.1 *10^{4} = 81000[/tex]

The list is in ascending order because:

[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]

No need to test other options