Answer:
Option B. 3 years.
Step-by-step explanation:
Sylvio loaned a friend $1,500 at a simple annual interest rate of 5%.
Formula of simple interest = I = P(rt)
I = Interest ($225)
P = Principal amount ( $1,500)
r = 5% = 0.05
t = time ( ? )
Now put the values to find the years.
225 = 1500( 0.05t)
225 = 75t
75t = 225
t =
t = 3
It will take 3 years to repay him if Sylvio earned $225 in interest.
In a proof of the Pythagorean theorem using similarity, what allows you to state that the triangles are similar in order to write the true proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction?
the geometric mean (altitude) theorem
the geometric mean (leg) theorem
the right triangle altitude theorem
the SSS theorem
Answer:
C: the right triangle altitude theorem
Step-by-step explanation:
In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar.
What is geometric mean(altitude) theorem?We know that the geometric mean (altitude) theorem states that the altitude is equal to the geometric mean of the two segments.
We know that the geometric mean (leg) theorem states that a leg is the geometric mean between the hypotenuse and the leg's projection on it in every right triangle.
We know that the right triangle altitude theorem states that If we draw an altitude in a right triangle from the vertex which contains the right angle to the opposite side, the triangles on both sides of the altitude are congruent, and the entire triangle is congruent as a result.
We know that the SSS theorem If the three sides of one triangle are equal to the three sides of the other, then the two triangles are congruent.
How to tackle the problem?Here, we have to find the specific theorem which demonstrates the equality of proportionate values in the Pythagorean theorem. From the above theorems, we can conclude that our required theorem is the right triangle altitude theorem.
Therefore In proof of the Pythagorean theorem using similarity, the right triangle altitude theorem allows us to state that the triangles are similar. So, option C is correct.
Learn more about the right triangle altitude theorem here -
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Whoever answers gets brainlist!
Answer:
1 ST ONE
Step-by-step explanation:
Answer:
No, because its racional
200z + 50 = 8000 solve this problem
Answer:
39.75
Step-by-step explanation:
First, subtract 50 from both sides
200z + 50 - 50 = 8000 - 50
200z = 7950
Then isolate the variable by dividing both sides by 200
200z/200 = 7950/200
z=39.75
Find the solutions to the equation below.
Check all that apply.
6x2 + 7x -5 = 0
A. x = 1/3
B. x = 5
c. x = -5/3
D. x = -1/3
E. x = 1/2
F. x = -2
Answer:
A and C
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
What is 0.12 times 105
Pls help
Answer:
12.6
Step-by-step explanation:
Use long multiplication to evaluate.
Answer:
12.6
Step-by-step explanation:
0.12*105=12.6
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, add 3 to it and multiply the result by 7."
A dollhouse uses a scale factor of 1/12 The perimeter of a square room in
the dollhouse is 36 inches. What is the length of the full-size room?
Please explain also thanks
Answer:
really phoung. lol its me maham
Step-by-step explanation:
1. Find the distance from point P to QS
SHOW ALL OF YOUR WORK
S(0,8)
R(-3,5)
Q(-5,3)
P(1, 1)
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] P (1, 1) = (x_1, y_1) [/tex]
[tex] R(-3, 5) = (x_2, y_2) [/tex]
Plug in the values into the formula.
[tex] PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} [/tex]
[tex] PR = \sqrt{(-4)^2 + (4)^2} [/tex]
[tex] PR = \sqrt{16 + 16} [/tex]
[tex] PR = \sqrt{32} [/tex]
[tex] PR = 5.7 units [/tex] (to nearest tenth)
How do break down what is the percentage of change in cost of the pizza
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
E
Learning Task 2. Give the reciprocal of the given fractions below.
Write your answer in your notebook.
6
1.
6.
2
8.
7
2. 7
7.
1
2
8
3.
8.
4
4
33-
5
als -|- ||-|-
5
4. 41
9.
5
6
5.
1
10. 1
54
5
5
A
Reciprocals represent two numbers whose product is one. Multi-6/8
The correct format of the options are
(1) 6/8 (6) 2/7
(2) 7/2 (7) 1/8
(3) 33[tex]\frac{4}{5}[/tex] (8) 4/5
(4) 41 (9) 5/6
(5) 54[tex]\frac{1}{5}[/tex] (10) 1/5
Answer:
Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1
Reciprocal of the following are as follows
(1) [tex]\frac{8}{6}[/tex]
(2) [tex]\frac{2}{7}[/tex]
(3) 33[tex]\frac{4}{5}[/tex] =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 => reciprocal = 5/169
(4) 1/41
(5) 54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271
(6) 7/2
(7) 8
(8) 5/4
(9) 6/5
(10) 5
Ms. Hamby gave a quiz. Two students' work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form. Part A Based on Ms. Hamby's answer key, how many questions did Student A answer correctly? Explain your response.
Answer:
attach a picture
Step-by-step explanation:
f(x) = -4x-1
g(x) = -3.x2 – 2
Find f (4) and g(6).
One of the largest cookies made on record had a diameter of 78.75 feet. What was the circumference of the cookie?
Answer:
247.4
Step-by-step explanation:
- you can either use pi*diameter or 2pi*radius
- [tex]\pi (78.75) = 247.4[/tex]
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute?
There are 60 minutes in 1 hour.
Label your answer in km.
Answer:
0.25km
Step-by-step explanation:
R=14 pie=3.14 round to the nearest hundreths
Answer:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Step-by-step explanation:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Answer:
6
Step-by-step explanation:
The way you wrote it, it is already rounded.....
The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".
pi--rounded off in decreasing precision:
3.14159
3.1416
3.142
3.14
3.1
3
Watch out for a trap in rounding:
Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.
The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?
Answer:
Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce
Answer:
12 ounces
Step-by-step explanation:
3.60 = .3x
divide by .3 on both sides
12 = x
Which expression is equivalent to y^3-2y^2+y
Answer:
the first one i did it yesterday
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
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8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay
Answer:
13 : 4
Step-by-step explanation:
13 : 4
he has 13 cows and he has 4 bales of hay so 13:4
you can't simplfy it so its still 13 : 4
Please answer this question! as fast as possible please anyone help
the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be
y=3x+-3
Please help. Brainliest to correct answer.
The function y=15x + 100 models the freight shipping charge of x pounds of cargo. What best describes the constant term of the function
Answer:
the constant is 15
Step-by-step explanation:
because it is constantly going up. the slope (15x) is what changes.
In general, how tall are giraffes? stat or not stat
Answer:
18 feet tall
Giraffes are the tallest land animals. Female giraffes are up to 14 feet tall and weigh up to 1,500 pounds. Meanwhile, males are up to 18 feet tall and can weigh 3,000 pounds.
Meet Forest, the tallest giraffe in the world
(CNN) A male giraffe living in a zoo in Australia has been crowned the tallest of them all, hitting a giddy 5.7 meters (18 feet, 8 inches). Isn't that cool?!
( just so you know some of this information was with the help of google)
Brainliest?
What equation is graphed in this figure?
1/2+1/12 en mínima fracion
Answer:3/4
Step-by-step explanation:
First get the common denominator that is 12 then divide 12 by the first denominator which is 2 then add the numerator which is 1 then you will get 7 then repeat to second denominator just divide 12 by 12 then add 1 then add the numerator and copy the denominator. To simplify your answer just divide both by 3 and you will get the final answer of 3/4.
The chart below contains the results of a survey in which students were asked about their cell phone plan.
Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing
Answer:
It is option C.
Step-by-step explanation:
I did the test.
Answer:
it c
Step-by-step explanation:
i did the unit test hope this helps :)
What is the sum of (5x2 + x - 3) and (-4x2 - x +9) ?
Answer:
[tex]x^{2} + 6[/tex]
Step-by-step explanation:
