What is his weekly allowance if he ended with $15?

Answer:

3.71 yd

Step-by-step explanation:

Heron's formula:

area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))

so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c

a = 6

b = 10

c = 14

a+b+c = 30

-a+b+c = 18

a-b+c = 10

a+b-c = 2

x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =

= sqrt(10800)/28 = sqrt(400×9×3)/28 =

= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =

= 3.711537 yd

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540

3x+3x+2x+2x+2x = 540

12x = 540

Divide by 12

12x/12 = 540/12

x = 45

E = 3x = 3*45 = 135

Answer:

135

Step-by-step explanation:

Answer:

A-B

Step-by-step explanation:

It doesn't say A=B... But just that A is a subset of B.

Anyways, why not try an example to help reveal the answer.

Let the universe set, U, be U={1,2,3,4,5,6}.

Let B={1,2,3,4} and A={1,3,5}

First choice would become A'={2,4,6}

Second choice would become B'={5,6}

Third choice would become A-B={5}

Fourth choice is just { }

B'-A'={5}

The only choice matching is A-B

*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.

Answer:

D(0 , 4)

Step-by-step explanation:

Point D is on the y axis. So, x-coordinate  = 0

y- coordinate is the vertical length from origin which is 4

Answer:

D(0 , 4)

Step-by-step explanation:

Answer:

b is the answer bro and try first then ask questions

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

Answer:

[tex]5x^{2} - 30x[/tex]

Step-by-step explanation:

Outlined sector:

2 πr x 225/360 +2r

=2x3.14x10 x 225/360 +20

=59.25 cm

Hope this helped!

Answer:

m<D = 170°

Step-by-step explanation:

In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:

m<A + m<B + m<C + m<D + m<E = 540°

We are already given the measures of all the angles except D, so we can substitute them in:

87° + 125° + 63° + m<D + 95° = 540°

Now, we can simplify and solve for <D:

m<D + 370° = 540°

m<D = 170°

4 sin(x) + 9 cos(x) = 0

4 sin(x) = -9 cos(x)

tan(x) = -9/4

x = arctan(-9/4) + nπ … … … (in radians)

or

x = arctan(-9/4) + 180n ° … … … (in degrees)

where n is any integer.

I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of

x ≈ 113.96°   and   x ≈ 293.96°

Answer:

8z - 1

Step-by-step explanation:

Given

3 + 4(2z - 1) ← multiply each term in the parenthesis by 4

= 3 + 8z - 4 ← collect like terms

= 8z - 1

Answer:

-1 + 8z

Step-by-step explanation:

First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):

3 + 4(2z - 1)

3 + 8z - 4

Group like terms:

3 + 8z - 4

-1 + 8z

The answer is -1 + 8z

Hope this helped.

Answer:

521.25

Step-by-step explanation:

the circle is 78.75 in area and the square is 600 so 600- 78.75 = 521.25

Answer:

x = 240

Step-by-step explanation:

Apply the leg rule to find the value of x.

Leg rule is given as:

Hypotenuse/leg 1 = leg 1/part 1

Hypotenuse = 400

Leg 1 = x

Part 1 = 144

Plug in the known values into the formula

400/x = x/144

Cross multiply

x*x = 144*400

x² = 57,600

Take the square root of both sides

√x² = √57,600

x = 240

Answer:

x=22.5

Step-by-step explanation:

(there's a correction in the question since the I did this one before, so I know)

(cos²x-sin²x)²-sin4x+sin²2x=0

or, cos²2x-sin4x+sin²2x=0

or, 1-sin4x=0

or, sin4x=1

or, 4x=90

or, x=22.5

Answer:

x=50

Step-by-step explanation:

Look at the triangle as a whole. This is a 30-60-90 triangle by speculation. You can see that the hypotenuse is equal to 100. By using sine (you can use cosine as well) , you get the expression, "(sin 30 degrees) = x/100" since sin is the opposite side over the hypotenuse. Do some basic trigonometry to get "1/2 = x/100". By now, you should know that 50/100 is the same as 1/2.

Answer:

B

Step-by-step explanation:

Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.

That eliminates choices A, C, and D.

Answer: B

Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.

Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.

Answer:

circumference = 2*PI*radius

circumference = 2 * PI * 5 cm

circumference = 31.4159265358979 cm

50 km = 500,000 centimeters

rotations = 500,000  / 31.4159 cm

15,915.51  rotations

Step-by-step explanation:

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}[/tex]

Then in our case, the solutions will be:

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6[/tex]

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.

Answer:

a

Step-by-step explanation:

all angles of an equilaterall triangle are equal therefore 180÷3 = 60

Answer:

Neither a relation nor a function

Step-by-step explanation:

A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values

An equation is a statement that gives declare the equality between two expressions

A function is a mapping rule that maps each element in the domain set to only one element in the range set

Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function

Answer:

Scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

From the picture given in the question,

If the larger figure is dilated to form the smaller figure,

Scale factor by which a figure is dilated with is determined by the expression,

Scale factor = [tex]\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}[/tex]

                    = [tex]\frac{3}{6}[/tex]

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

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

To know about frequency distribution, here

brainly.com/question/1094036

#SPJ4

Answer:

we can use 2 formule to solve your question: One is P*V=n(mol)*R*T(KELVIN)

Step-by-step explanation:

And other is P(first)*V(first)=P(last)*V(last)

8*22=16*?

the ?=11

Answer: X = 86 gallons

Step-by-step explanation:

X-27=59

X=59+27