Paloma opened a savings account with a deposit of $750. She earns 2% simple interest per year on the account. What will the total amount of money, in dollars, in palomas account after 1 year if there are no other deposits or withdrawals ?

Answer:

measure of angle F=    109 degrees

Step-by-step explanation:

I believe by m you are solving for angle F.  So, angle H =71 degrees. GF and HI are parallel. In order to find angle G, Take the supplementary of 71 degrees, so 180-71 = angle G =109 degrees. Because GH and FI are congruent, the angles should be same across the shape, so angle I 71 degrees. Quadrilateral has a total of 360 degrees, so, 360-71-109-71=109 degrees. In general, angke G would equal angle F because of the trapezoid properties that take place when both bases are parallel and two of the sides are congruent, the trapezoid is an isosceles trapezoid

Answer:

The measure of Angle G is 41

Step-by-step explanation:

We know that in a parallelogram, opposite angles are congruent, therefore let's solve for x-value first;

3x + 11 = 5x - 9

11 = 5x - 3x - 9

11 = 2x - 9

11 + 9 = 2x

20 = 2x

20/2 = x

10 = x

Now that we have x-value, we can substitute it in the equation for Angle G to find it's angle measure;

5(10) - 9 = ∠G

50 - 9 = ∠G

41 = ∠G

So the final answer = The measure of Angle G is 41

Hope this helps!

Answer:

B. 1/2

Step-by-step explanation:

divide/

The value of measure of tan 45 is B. 1/2

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are given that side lengths of a 45-45-90 triangle are in the ratio 1 : 1: √2

A 45-45-90 triangle is a special case of a right triangle in which both legs we have the same value and the hypothenuse is h.

By the Pythagorean Theorem:

Tan 45 = pythagoras/ base

Tan 45 =  1/2

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The solution to the quadratic equation x² - 4x + 1 = 0 is x = ( 4 ±√12 ) / 2

A quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the quadratic equation in the question;

x² - 4x + 1 = 0

We substitute this values into the quadratic formula above and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -(-4) ±√( (-4)² - ( 4 × 1 × 1)) / (2 × 1)

x = ( 4 ±√( 16 - 4) ) / (2)

x = ( 4 ±√12 ) / 2

Therefore, ( 4 ±√12 ) / 2 is the solution to the equation.

Option C) ( 4 ±√12 ) / 2 is the correct answer.

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Answer:

c=21.6

Step-by-step explanation:

First, find the last angle of the triangle.

The sum of all the angles in a triangle is 180 degrees.

A+90+37=180

A=53

Now find x

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp

rewrite as

c=a/cos(B)

c=17.3/cos(37)

c=21.66194688

Answer:

Step-by-step explanation:

Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:

10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm

this answer for # 2 question

7.898 and 7.097 numbers make a true statement when placed in the box

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division.

Numbers make a true statement when placed in the box

7.902 > ?

7.902 < 7.912

7.902 > 7.097

7.902 < 7.920

7.902 >7.898

Hence, the answer is 7.898 and 7.097

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Answer:

∠ EDC = 55°

Step-by-step explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA = [tex]\frac{180-20}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80°

Similarly for Δ BCD

∠ CDB = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°

Answer:

B

line n has slope equal to zero

Answer: $9,500

Step-by-step explanation:

If the value of the car depreciates by 5% in a year it means that the value of the car reduced by 5%.

First find the 5%:

= 5% * 10,000

= $500

Subtract this from the initial value to find the value after a year:

= 10,000 - 500

= $9,500

Answer:

$ 9500

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial value = $ 10000

Depreciation rate = 5%

Value after one year =?

Next, we shall determine the depreciation value. This can be obtained as follow:

Initial value = $ 10000

Depreciation rate = 5%

Depreciation value =?

Depreciation value = Initial value × rate

Depreciation value = 10000 × 5%

Depreciation value = 10000 × 5/100

Depreciation value = $ 500

Finally, we shall determine the value of the car after one year. This can be obtained as follow:

Initial value = $ 10000

Depreciation value = $ 500

Value after one year =?

Value after one year = Initial value – Depreciation value

Value after one year = 10000 – 500

Value after one year = $ 9500

Therefore, the value of the car after one year is $ 9500

Answer:

Just do it to your best ability

Step-by-step explanation:

You should just do it because it could still make your grade look poor so it should be good for future you as youll be looked upon as a better student

Answer:

Answer:

I think 6 I don't see it being anything other than that I can't even think right now that's crazy

Answer:

4

One at the ap-ex, and 3 on the side. A regular triangle has 3 sides, and since this is a third dimension shape, there is one at the top.

Answer:

B. He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

Given

See attachment for pyramid

[tex]Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4[/tex]

Required

Vikram's error

The surface area of a square pyramid is:

[tex]Area = Base\ Area + 4 * Area \triangle[/tex]

Where

[tex]Base\ Area = Length * Length[/tex]

[tex]Base\ Area = 34.2 * 34.2[/tex]

[tex]4 * Area \triangle = 4 * \frac{1}{2} * Base * Height[/tex]

[tex]4 * Area \triangle = 4 * \frac{1}{2} * 34.2 * 28.4[/tex]

So:

[tex]Area = Base\ Area + 4 * Area \triangle[/tex]

[tex]Area = 34.2 * 34.2 + 4 * \frac{1}{2} * 34.2 * 28.4[/tex]

By comparing the calculated expression with

[tex]Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4[/tex]

Option (b) is correct

Answer:

1093/6

Step-by-step explanation:

9x + 3x + 1 = 2187

12x + 1 = 2187

12x = 2187 - 1 = 2186

12x = 2186

x = 2186/12 = 1093/6

Hope u understand

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Answer:

-1.47

Step-by-step explanation:

5.88/-4= -1.47

Answer:

7.96 cm

Step-by-step explanation:

radius of bottom: 19/2 = 9.5

area of bottom = pi * r^2 = 283.53

height * base area = volume

Answer:

D. 3.2 in^2

Step-by-step explanation:

48 divide 15 = 48/15 = 3.2

Answer:

[tex]circumference = 2 \pi r = 2 \times 3.14 \ times 1 = 6.28m\\\\Area = \pi r^2 = 3.14 \times 1 \times 1 = 3.14m^2[/tex]

The circumference of the circle is, 6.28 meter.

And, The area of circle is, 3.14 meters²

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle with radius of 1 meter.

Now, We know that;

The circumference of the circle = 2πr

Hence, We get;

The circumference of the circle is,

⇒ 2 × 3.14 × 1

⇒ 6.28 meter

And, The area of circle is,

⇒ Area = πr²

⇒ Area = 3.14 × 1²

⇒ Area = 3.14 meters²

Thus, The circumference of the circle is, 6.28 meter.

And, The area of circle is, 3.14 meters²

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Answer:

The answer is 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

god bless

from philippines

Answer: B & D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?

Answer:

The coordinate of the rest stop is: [tex](5,2.5)[/tex]

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel

[tex](x_2,y_2) = (7,1)[/tex] --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

This gives:

[tex](x,y) = \frac{1}{2}(3+7,4+1)[/tex]

[tex](x,y) = \frac{1}{2}(10,5)[/tex]

Open bracket

[tex](x,y) = (5,2.5)[/tex]

Solving (b): Distance between the hotel and the stadium

We have:

[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel

[tex](x_2,y_2) = (7,1)[/tex] --- Stadium

The distance (d) is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(3 - 7)^2 + (4 - 1)^2}[/tex]

[tex]d = \sqrt{(-4)^2 + 3^2}[/tex]

[tex]d = \sqrt{16 + 9}[/tex]

[tex]d = \sqrt{25}[/tex]

[tex]d =5[/tex]

From the question, we have:

[tex]1\ unit = 6.4\ miles[/tex]

So:

[tex]d =5 * 6.4\ miles[/tex]

[tex]d =32\ miles[/tex]

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Answer: 24 2/3

Step-by-step explanation:

Let the total distance of the race be represented by x.

Therefore, based on the information given, we can form an equation which will be:

3/8 of x = 9 1/4

3/8x = 9 1/4

0.375x = 9.25

x = 9.25/0.375

x = 24.67

The distance of the race is 24 2/3

To find the difference subtract the price of the hot dog from the price of the hamburger:

2.99 - 2.50 = 0.49

The hamburger cost $0.49 more than the hot dog.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

(When you simplify both numbers, you get 1)

Hope it helps!

Brainliest pls!

Follow me! :)

Imagine cutting up a pizza into 5 slices

If you take 2 slices, then you take 2 out of the 5, so the fractional amount you took is 2/5 of the full pizza.

If your friend takes 3 slices, then she or he takes 3/5 of the full pizza

Adding the two fractional amounts should get us back to 1 full pizza, which is why 2/5+3/5 = 1.

-----------

We could say this:

2/5 + 3/5 = (2+3)/5 = 5/5 = 1

Dividing any number over itself, as long it's not zero, always leads to 1.

So that's why 5/5 = 1.

Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

Answer:

101

Step-by-step explanation:

According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC

.

The Law of Cosines can be used because all three side lentghs are known.

Set up the equation for the Law of Cosines:

a2=b2+c2−2bccosA

Substitute the known values into the Law of Cosines:

312=222+182−2(22)(18)cosA

Square the values and multiply:

961=484+324−792cosA

Add:

961=808−792cosA

Subtract 808

from both sides:

153=−792cosA

Divide both sides by −792

:

153−792=cosA

According to this equation m∠A

is equal to the inverse cosine function of −153792

. Write this:

m∠A=cos−1(−153792)

Calculate the value of the inverse cosine −153792

on a calculator:

m∠A≈101°

Therefore, m∠A≈101°

.

Answer:

101

Step-by-step explanation:

calculate using the law of cosines

hope that helps!

Answer:

270

Step-by-step explanation:

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