Patrick took out a loan for $500 at 4.2% simple interest. If he pays it back in 2 years, how much interest will he have to pay?

Answer:

B

Step-by-step explanation:

b is the symbol for the side opposite angle B. c is the symbol for the side opposite Using the notation in the above triangles

The triangle that is cos b = 0.8 is triangle d.

The triangles in the diagram are right triangle. Right triangles are triangles that have an angle that is 90 degrees. The sum of angles is 180 degrees.

In order to make use of cos, the value of the adjacent and the hypotenuse would be needed.

Cos = adjacent / hypotenuse

Triangle A:

The value of the adjacent side would be determined using pythagoras theroem

5² - 4²

= 25 - 16

= √9 = 3

Cos B = 3/5 = 0.6

Triangle B:

Cos B = 5/8 = 0.625

Triangle C:

Value of the hypotenuse = 4² + 5²

16 + 25

√41 = 6.4

Cos B = 4/6.4 = 0.62

Triangle D:

Cos B = 4/5 = 0.8

To learn more about triangles, please check: https://brainly.com/question/7894175

Answer:

273.2

Step-by-step explanation:

Surface area of the pyramid=Area of square+4*area of triangle

Surface area of the pyramid=10^2+2*(8.66)*10

Surface area of the pyramid=100+173.2=273.2

Answer:

what should we be finding?

What is your question? if it is arranging in descending order, the answer is as follows:

25,23,20,16

Hello!

[tex] \bf 5 \sqrt{37} + \sqrt{98} - 3 \sqrt{147} [/tex]

[tex] \bf 5 \sqrt{37} + 7 \sqrt{2} - 21 \sqrt{3} [/tex]

I removed the factors from under the radical.

Good luck! :)

Answer:

D. 15/√346

Hope this helps! Have a nice day :)!

Answer:

33.80

Step-by-step explanation:

AB = BC = AD√2

AB = BC = 7√2

AD = DC

AC = 2AD

perimeter = AC + AB + BC

= 2AD  + 2AB

= 2(7) + 2(7√2)

= 14 + 14√2

≈ 33.80

Answer:

33.8

Step-by-step explanation:

45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that [tex]DC^2+BD^2=BC^2[/tex]. We know that DC and BD is equal to 7, so we can simplify that to [tex]49+49=BC^2[/tex], and we can further simplify that to [tex]BC=\sqrt{98}[/tex]. This is also equal to [tex]7\sqrt{2}[/tex]. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as

[tex]7\sqrt{2} + 7\sqrt{2}+14[/tex], which is equal to [tex]14\sqrt{2} + 14[/tex]. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.

Answer:

Step-by-step explanation:

o find the unit rate , divide the numerator and denominator of the given rate by the denominator of the given rate.

start with the rate of miles to gallons . then divide , write as a rate.

hope this helps.

where are the following vehicles name

Answer:

3/4

Step-by-step explanation:

Let's say that r is the radius of the large circle or the diameter of the small circle.

Area of the big circle is [tex]\pi r^{2}[/tex] .

Area of the small circle is [tex]\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}[/tex].

The ratio of these 2 circles is 1/4 (calculation in the comments).

So the shaded part represent 1 - 1/4 = 3/4.

Answer:

a.  Trong mp (BCD), nối BP cắt CD tại E

Trong mp (ABP), nối MP cắt AE kéo dài tại F (trong trường hợp MP không song song AE)

⇒F=MP∩(ACD)⇒F=MP∩(ACD)

b. Nếu MN cắt BC, kéo dài MN cắt BC tại G

Nối GP cắt BD tại H

Trong mặt phẳng (ABD), nối MH cắt AD tại K (trong trường howph MH ko song song AD)

⇒K=AD∩(MNP)⇒K=AD∩(MNP)

c. H=BD∩(MNP)

Step-by-step explanation:

Answer:

there is a 25% decrease in books being read

Answer:

c

Step-by-step explanation:

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

25

Step-by-step explanation:

5 cents = 0.05

1.25 / 0.05 = 25

let me know if i'm wrong

Answer:

25

Step-by-step explanation:

$1.25=125cents

125/5 = 25

Answer:

The answer to this question is 80 times.

Answer:

80

Step-by-step explanation:

Answer:

37.7

Step-by-step explanation:

First, we have to divde 22/7 to find the scale factor. I chose 22 and 7 because those two sides are ocngruent. We get 3.14. We then have to multiply 12 by 3.14 beacuse that is the side that is congruent with the side y. When you multiply you should get 37.68. Since we have to round we get 37.7.

Answer:

-11/6

Step-by-step explanation:

To find the slope, we use the formula

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

   = ( 8- -3)/( -6 - 0)

   = (8+3)/(-6-0)

  = 11 / -6

 = -11/6

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

Answer:

D

Step-by-step explanation:

The first 3 are perfect squares and have 2 equal zeros

j(x) = x² + 6x + 9 = (x + 3)² with zeros x = - 3 , multiplicity of 2

k(x) = x² - 8x + 16 = (x - 4)² with zeros x = 4 , multiplicity of 2

h(x) = x² + 2x + 1 = (x + 1)² with zeros x = - 1 , multiplicity of 2

g(x)

x² - 64 is a difference of squares

(x - 8)(x + 8) = 0

with zeros x = - 8, x = 8 ← 2 different zeros

Answer:

1

Step-by-step explanation:

so, the function is defined as coordinate pairs.

the first coordinate is x (and is the input variable), the second is y (the function result).

a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...

so, the function result = y = 2 and is the result of x²+1.

2 = x² + 1

1 = x²

x = 1

so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.

Answer:

842.04 cm³

Step-by-step explanation:

Cylinder:

diameter = 6 cm

r = 6/2 = 3cm

h = 4 cm

Volume of cylinder = πr²h

                               = 3.14 * 3 * 3 * 4

                               = 113.04 cm³

Cube:

side = 9 cm

Volume of cube = side * side *side

                           = 9*9*9

                             = 729 cm³

Volume 0f composite figure = volume of cylinder + volume of cube

      = 113.04 + 729

      = 842.04 cm³

Answer:

1181.16

Step-by-step explanation:

Cylinder + Cube = 1181.16

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].

Answer:

-5 since he only had 80 in his checking

Answer:

x = 10             x = -16

Step-by-step explanation:

(x+3)^2 - 169 = 0

Add 169 to each side

(x+3)^2 - 169+169 = 0+169

(x+3)^2 =169

Take the square root of each side

sqrt((x+3)^2) =sqrt(169)

x+3 =±13

x+3 = 13    x+3 = -13

Subtract 3 from each side

x+3-3 = 13-3    x+3-3 = -13

x = 10             x = -16

Answer:

4

Step-by-step explanation:

64^1/3

cube root of 64 is

4

Answer:

C

Step-by-step explanation:

Using the rule of exponents

[tex]a^{\frac{1}{3} }[/tex] ⇔ [tex]\sqrt[3]{a}[/tex] , then

[tex]64^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{64}[/tex] = 4 → C

Answer:

1. 4ft=48inches

2. 5km=5,000m

3. 6 quarts=1,5 gallons

4. 2,000 grams=2km

Step-by-step explanation:

1. To convert feet to inches, multiply the number (4) by 12.

2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.

3. divide the volume value by 4

4. To convert grams to kilograms, you divide the number of grams you have by 1000

4 feet = 48 inches

5 kilometers = 5,000 meters

6 quarts = 1.5 US gallons

2,000 grams = 2 kilograms

Answer:

-0.5

Step-by-step explanation: