Find the area of the composite figure, made up of a rectangle and a semicircle. Use as an approximation for and give your answer to the nearest hundredth of a square foot.

Answer:

$90

Step-by-step explanation:

Given from the question that the down payment is 10% the selling price of the store this will be;

10/100 * $2445 = $244.50

Monthly payments = $195

For one year, paying $195 per month will give a total of : $195 * 12 =$2340

Adding the down payment to get total amount paid = $2340 + $195 = $2535

The interest paid will be : $2535 -$2445 = $90

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Answer:

those are the answers

Step-by-step explanation:

so basically you multiply the top number by the number in the side like: -3x^2 × 3x, -3x^2 × -5 (if that makes sense?)

Answer:

y=1/2x-8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-4))/(6-8)

m=(-5+4)/-2

m=-1/-2

m=1/2

y-y1=m(x-x1)

y-(-4)=1/2(x-8)

y+4=1/2(x-8)

y=1/2x-8/2-4

y=1/2x-4-4

y=1/2x-8

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

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Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

Answer:

Correct answer is option A. T

Step-by-step explanation:

Given that

In a \(\triangle RST\), RS = 7, RT = 10, and ST = 8.

To find:

Smallest angle = ?

Solution:

We can use cosine rule here to find the angle.

Formula for cosine rule:

\(cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}\)

Where  

a is the side opposite to \(\angle A\)

b is the side opposite to \(\angle B\)

c is the side opposite to \(\angle C\)

Using the cosine rule:

\(cos T = \dfrac{ST^{2}+RT^{2}-RS^{2}}{2\times ST \times RT}\\\Rightarrow cos T = \dfrac{8^{2}+10^{2}-7^{2}}{2\times 8 \times 10}\\\Rightarrow cos T = \dfrac{64+100-49}{160}\\\Rightarrow cos T = \dfrac{115}{160}\\\Rightarrow \angle T = cos^{-1}(0.71875)\\\Rightarrow \angle T = 44.05^\circ\)

Now, let us use Sine rule to find other angles:

\(\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}\)

\(\dfrac{RS}{sinT} = \dfrac{ST}{sinR} = \dfrac{RT}{sinS}\\\Rightarrow \dfrac{7}{sin44.05} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow \dfrac{7}{0.695} = \dfrac{8}{sinR} = \dfrac{10}{sinS}\\\Rightarrow sin R = \dfrac{8 \times 0.695}{7}\\\Rightarrow R = 52.58^\circ\)

\(\Rightarrow sin S = \dfrac{10 \times 0.695}{7}\\\Rightarrow S = 83.14^\circ\)

Smallest angle is \(\angle T\)

Correct answer is option A. T

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Answer:

21.25

Step-by-step explanation:

because 85$ divided by the 4 tickets is 21.25

Answer:

Look Below

Step-by-step explanation:

Radius = 4

Center (9,5)

a = 3

b = 2

(x-9)^2 + (y-5)^2 = 4^2

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

\(\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}\)

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Answer:

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

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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A linear function rule to model the distance in feet {d} the car has traveled any number of seconds {t} after passing the timing device is

d = 92t.

Given is that a car moving at a constant speed passed a timing device at t = 0 s. After 9s, the car has traveled 828 ft.

We can write the linear function as -

y = mx

Now, we can write the slope as -

{m} = (828/9) = 92

So -

d = 92t

Therefore, a linear function rule to model the distance in feet {d} the car has traveled any number of seconds {t} after passing the timing device is

d = 92t.

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Answer:

752

Step-by-step explanation:

752 are the only digits that when put together, round to 800.

For 4 rides the total charge be the same at both places

Two or more expressions with an Equal sign is called as Equation.

Funtime Carnival charges a $3.00 entrance fee and $1.00 per ride

Crazy Carnival charges a $5.00 entrance fee and $0.50 per ride.

We need to find for how many rides will the total charge be the same at both places and the cost.

For carnival the equation will be 3+1x

Crazy Carnival equation will be 5+0.5x

Now equation both the equations

3+x=5+0.5x

Subtract 0.5x on both sides

3+x-0.5x=5

3+0.5x=5

0.5x=2

x=2/0.5=4

Hence, For 4 rides  the total charge be the same at both places

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From the figure, we can say:

Since both the triangles are similar, their sides are proportional.

We can write a proportional ratio:

We can cross multiply and solve for y:

Answer:

x>6

Step-by-step explanation:

3x+9<5x-3

3x-5x<-3-9

-2x<-12

x>6

Answer:

Well, it's Pythagoras Theorem

hyp²= opp² + adj²

hyp (hypotenuse)

opp (opposite)

adj (adjacent)

Since, we already have hypotenuse and opposite

15²= 9² + adj²

making adjacent the subject of formula

15²-9² = adj²

adj² = 225-81

adj² = 144

make adjacent subject formula by removing the ²

so,

\(adj = \sqrt{144} \)

adj = 12

Answer:

14v-2

Step-by-step explanation:

1. distribute

2. combine like terms

see photo for more information

Answer:

The correct answer would be C- (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

-Thank you

Answer:

C. (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

Step-by-step explanation:

81 + 114 = 225

225 = 225

100% correct I took the test today and got 100%. :)

can i plz have brainliest

The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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Answer:

f(x) = 72-12x

Step-by-step explanation:

this might be too late but it could be useful for future people

Answer:

f(x) = 72-12x

took a while to solve.......

Answer:

Step-by-step explanation:

The cube has 6 equal faces.

Total surface area: