Answer:
Simple Interest = $542
Compound Interest = $542.88
Step-by-step explanation:
Find the unit rate of miles per gallon for these vehicles
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
Solve for y, given that b=22(Round your answer to 1 decimal place, if necessary.)
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.
Find cos A and cot B exactly if a = 15 and b = 11.
Answer:
D. 15/√346
Hope this helps! Have a nice day :)!
Help plz and thanks
Choose the function that has two different zeros.
A.j(x) = x2 + 6x + 9
B.k(x) = x2 – 8x + 16
C.h(x) = x2 + 2x + 1
D.g(x) = x2 – 64
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
List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT
** I NEED HELP I KEEP GETTING IT WRONG**
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].
Find the slope of the line that passes through the following points: (0, -3), (-6,8)
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 base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you find the surface area of the pyramid?
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.
5[tex]\sqrt{37}[/tex] + [tex]\sqrt{98} - 3\sqrt{147}[/tex]
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! :)
Cho tứ diện ABCD . Trên cạnh AB lấy điểm M , AC lấy N , trong tam giác BCD lấy điểm P tìm giao điểm
a, MP và (ACD)
b, AD và ( MNP)
c , BD và ( MNP)
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:
Solve by taking the square root of both sides: (x+3)^2 - 169 = 0
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
Will Mark brainlest help please please please
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.
Please help me solve this quickly!
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.
In which of the following triangles is cos B = 0.8?
A
B
C
D
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
please answer all three.
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
Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...
I’ll mark brainliest! Please help me
sequence of number - 25,23,20,16
do with process
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
how many 5 cents can u get from $1.25?
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
Mr. Pearce wanted to write a check for $85. He noticed that he had only $80 in his checking account. What integer shows what Mr. Pearce's checking account balance would have been if he had written the check?
Answer:
-5 since he only had 80 in his checking
Which linear equation fits this line?
a. O2 y - x = 2
b. O2 y = 2 + x
C. O2 y + x = 2
Answer:
c
Step-by-step explanation:
michael is making a square pyramid out of paper for a school project .he cuts a piece of paper with the dimensions shown to make the pyramid .what is the approximate surface area of the pyramid ?
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
please help asap, see attached photo!!
Evaluate:64 1/3 Question 11 options: A) 8 B) 16 C) 4 D) 2
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
how do i solve this any one know pls help me
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
Sine and cosine ratios! help!!
Convert
4 feet to inches
5 kilometers to meters
6 quarts to gallons, and
2,000 grams to kilograms
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
Alina has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 200 times. About how many times should Alina expect the spinner to land on either purple or orange?
40
80
100
120
Answer:
The answer to this question is 80 times.
Answer:
80
Step-by-step explanation:
In January Mr.Tan's students read 20 books. In February, they read 15 books. What is the percent increase or decrease in the number of books the read?
Answer:
there is a 25% decrease in books being read
What is the negative square root of 0.25?
Answer:
-0.5
Step-by-step explanation:
I need help ASAP plzzzzzzzzzzzzz
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.
