Share £747 in the ratio 2:7 between Tom and Ben.
Tom will get
£
Ben will get
£

Answer:

D

Step-by-step explanation:

By the Pythagorean theorem:

[tex]18^2+24^2=x^2[/tex]

Therefore, answer choice D is correct. Hope this helps!

Answer:

hey so im guessing its 10 bananas and 10 apples

Step-by-step explanation:

1.2x 10=12

1.4x10= 14

12+14=26

Answer:-7n-21-8-64n

-71n-29

Step-by-step explanation:

Answer: -71n - 29

Step-by-step explanation:

-7n - 21 -8 - 64n

Collect like terms:

-7n - 64n -21 - 8

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

Answer:

2.49-1.99= 0.5

0.5 divided by2.49 times 100 is about 20% decrease

1.99-2.49+0.5 also so it is also a 25 percent increase

Step-by-step explanation:

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

Answer:

The percentage of the simulations of two games that the football player would most likely get a touchdown in each of the two games = 15.21%

Step-by-step explanation:

The probability of scoring a touchdown in one game for the football player = 39% = 0.39

Probability of scoring a touchdown in each of the two consecutive games = (Probability of scoring a touchdown in the first game) × (Probability of scoring a touchdown in the second game)

Since the probability of scoring a touchdown in each game the football player plays in is independent of one another.

Probability of scoring a touchdown in the first game = Probability of scoring a touchdown in the second game = 0.39

Probability of scoring a touchdown in each of the two consecutive games = 0.39 × 0.39 = 0.1521

If 100 simulations of the two games are made, the player scores in each of the two games in 15.21 of them, hence, the percentage of the simulations that the football player would most likely get a touchdown in each of the two games = 15.21%

Hope this Helps!!

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.

Speed is the rate of distance covered in a particular time.

It is equal to distance/time

We know that speed=distance/time

so the time will be =90/65

which will be equal to1.44 hour

Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.

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Answer:

6

Step-by-step explanation:

[tex]f(6)=-6 \\\\g(5)=-5\\\\4\cdot f(6)-6\cdot g(5)=\\\\-24+30=\\\\6[/tex]

Hope this helps!

Answer:

(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8[tex]x^{6}[/tex] + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Answer: Edmentum/plato

Step-by-step explanation:

Answer:

(a) ratio of all books to new books is   17 : 8  

or in quotient form: 17/8

(b) ratio of all books to used books is  17 : 9

or in quotient form: 17/9

Step-by-step explanation:

Number of new books = 8

Number of used books =  9

Total number of books = 17

Recall also that ratios are written with the symbol ":" in between the first quantity and then the second quantity, thus the symbol ":" replacing the word "to". For example "Ratio of a to b is written with the symbology:

a : b

which can also be translated to the quotient expression: a/b

Then the requested ratio of

(a) all books to new books is   17 : 8  

or in quotient form: 17/8

(b) all books to used books is  17 : 9

or in quotient form: 17/9

Answer:

8.8

Step-by-step explanation:

4.5-0.2=4.3

The difference is 4.3 add 4.3 to 4.5=8.8

Answer:

Step-by-step explanation:

Answer:

[tex] (2x - 3)(x - 5) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 13x + 15 \\ 2 {x}^{2} - 10x - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

The sphere has a diameter of 32 in.

The radius’s length is one-half the length of the diameter.

Step-by-step explanation:

The diameter is the measurement of the line that starts at one end of a circle or a sphere and ends at the other end.

The radius is half the diameter. The radius goes from one end of the circle or sphere to the center.  

So, if a sphere has a radius of 16 inches, it would have a diameter of 32 inches.

16 * 2 = 32

I cannot see the volume of the sphere.

[tex]V = \frac{4}{3}\pi r^3[/tex]

Using 3.14 for pi and 16 for 'r':

[tex]4/3 * 3.14 * 16^3\\\\4/3*3.14 *4096\\\\4.1866...*4096\\\\17148.3136[/tex]

The volume of the sphere is about 17148 cubic centimetres.

Answer:

c

Step-by-step explanation:

i did the test

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

Answer:

Rounding x = 5.52

Step-by-step explanation:

2.1x - 3.6 = 8

Add 3.6 to each side

2.1x - 3.6+3.6 = 8+3.6

2.1x = 11.6

Divide each side by 2.1

2.1x/2.1 = 11.6/2.1

x =5.523809524

Rounding x = 5.52

Answer:

To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.

Step-by-step explanation:

Answer:

[tex]x = \frac{y + 2}{3} [/tex]

Step-by-step explanation:

[tex]y = 3x - 2 \\ y + 2 = 3x \\ \frac{y + 2}{3} = \frac{3x}{3} \\ \\ x = \frac{y + 2}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is "[tex]\bold{\cos 65}[/tex]"

Step-by-step explanation:

Given:

[tex]\Rightarrow \bold{\sin 25}\\[/tex]

[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\frac{\sin 25}{1}[/tex]

[tex]\therefore \tan \theta = \frac{\sin \theta }{cos \theta}[/tex]

[tex]\Rightarrow \sin 25[/tex] can be written as [tex]\cos (90-65)[/tex]

The answer is "[tex]\bold{\cos 65}[/tex]".

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

Required

What steps should be taken to complete the conversion?

The first step is to cancel out equal units;

Kilometre(s) will cancel out Kilometre(s)

Mile(s) will cancel out Miles

And we'll be left with metres

This is shown below

[tex]\frac{8\ miles}{1} * \frac{1.61\ kilometres}{1\ mile} * \frac{1000\ metres}{1\ kilometer} =[/tex]

[tex]\frac{8\ miles}{1\ mile} * \frac{1.61\ kilometres}{1\ kilometre} * \frac{1000\ metres}{1} =[/tex]

[tex]\frac{8}{1} * \frac{1.61}{1} * \frac{1000\ metres}{1} =[/tex]

The next step is to perform all multiplications

[tex]\frac{8 * 1.61 *1000\ metres}{1 * 1 * 1} =[/tex]

[tex]\frac{12,880\ metres}{1} =[/tex]

[tex]12,880\ metres[/tex]

Answer:

10 inches

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30

Answer:

20x + 12y

Step-by-step explanation:

4 times 5x = 20x

4 times 3y= 12y

Step-by-step explanation:

I am going to assume that the equivalent expression is fully simplified.

To simplify this expression, we use the distributive method.

Using this method we get:

4·(5x+3y) = 4·5x+4·3y

Now that we have the terms seperated, simplify each of them:

4·5x + 4·3y = 20x + 12y

Our expression is now fully simplified so our answer is:

20x + 12y

Answer:

C.  [tex] y + 1 = -3(x - 10) [/tex]

Step-by-step explanation:

The point-slope equation of a line:

[tex] y - y_1 = m(x - x_1) [/tex]

where m = slope, and the point is (x1, y1).

In this case, the point is (10, -1), so x1 = 10 and y1 = -1.

The slope is -3, so m = -3.

[tex] y - (-1) = -3(x - 10) [/tex]

[tex] y + 1 = -3(x - 10) [/tex]

Answer:

The answer is D.

Step-by-step explanation:

You have to divide it by 2 :

∠RST = ∠ROT ÷ 2

= 46° ÷ 2

= 23°

O represents the centre of circle.

(Correct me if I am wrong)

Answer:

D. 23°

Step-by-step explanation:

The measure of central angle is twice the angle of circumference lying on the same arc. So,

<RT = 2(<RST)

<RST = <RT/2

<RST = 46/2

<RST = 23°

Answer:

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]

[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]

The y value achieves its minimum at x = 4/3

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

Answer:

In six years the population will exceed 645 deers

Answer:1572

Step-by-step explanation:

Am god

To the nearest square unit, Area of heptagon = 1572 square unit

The correct option is B.

A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.

Given,

Side length of heptagon = 20.8 unit

Radius of the incircle = 21.6 unit

Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit

Area of heptagon = (1/2)Perimeter × radius of incircle

                               = 0.5 × 145.6 × 21.6

                               = 72.8 × 21.6

                               = 1572.48 square units

Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.

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Answer:

30°=15° 52°=26° 172°=86° 171'30°=85.75°

Step-by-step explanation:

okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.

our x examples, in this case, would be 30°,52°,172°, and 171'30°.

and that's how you find the answer to this type of question. :)))

Step-by-step explanation:

Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.

I attached a picture of some of the missing values. That should help a little with visualizing.

Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.

The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.

Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.

Now you can make your surface area equation:

[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]

The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.

[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]

If there's anything you need me to explain further, feel free to comment :)

Answer:

[tex]SA=613.5m^2[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8