Convert the following repeating decimal into a fraction
_
0.16
Answer: 0.16 converted to a fraction is 4/25
In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm
Answer:
120
Step-by-step explanation:
just do 20x 6 and you get 120
Similar triangles may or may not be congruent
The area of triangle DEF is 800 square cm
The given parameters is
[tex]\triangle ABC \sim \triangle D EF[/tex]
This means that the triangles are similar.
The corresponding sides of the triangles are:
[tex]AC = 6[/tex]
[tex]DF = 20[/tex]
So, the scale factor (k) from ABC to DEF is:
[tex]k = \frac{D EF}{ABC}[/tex]
[tex]k = \frac{20}{6}[/tex]
Simplify
[tex]k = \frac{10}{3}[/tex]
The area of triangle DEF is then calculated as follows:
Area = Area of triangle ABC * k^2
So, we have:
[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]
[tex]A = 800[/tex]
Hence, the area of triangle DEF is 800 square cm
Read more about similar triangles at:
https://brainly.com/question/14285697
Josh started washing at 4:07 PM and finished at 5:31 PM. How long did it take him? Give your answer in hours and minutes?
I need help on solving thiS
Answer:
it's a bit blurry!
Step-by-step explanation:
If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4
Answer:
x is equal to two.
Step-by-step explanation:
We know that 32 is a power of 2. It is in fact two to the power of five. So we can re-express that as:
[tex]2^{3x - 1} = 2^5[/tex]
Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:
[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]
PLEASE HELP IM TIMED whats 1 divded by 1
Answer:
1
Step-by-step explanation:
1 divided by anything is that number. So with that information 1 divided by on would be 1.
Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answer:
Because 8x6 gives you the same figure.
Step-by-step explanation:
Anita made these two statements.
The number 2 is its own opposite.
The opposite of the opposite of 1.5 is 1.5
Fill in the blanks to explain whether theses statements are true or false.
The opposite of 2 is
Step-by-step explanation:
umm its false cause one thing isn't correct here.
like if we're asked to find the opposite of -5 itll be +5
and in Anita's case, she should have said, that the like for 2 the opposite will be -2 like just change the integers.
like for -, change it to positive and for +, change it to negative
have a great day :)
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
Answer:
$19,000 after five years
Step-by-step explanation:
1900 * .5 = 3800 one year
5 * 3800 = 19,000
Which equation can be used to find the number that can be added to 410 to get 946?
A
- 410 = 946
B
2 + 410 - 946
с
410 - 2 = 946
D
410 + 946
2
Answer:
its could be 946-410= 536 and 410+536=946
Use the graph below to determine the number of solutions the system has.
y = -3 and x = 4
(a) one
(b) two
(c) no solution
(d) infinitely many
Help plz:)))I’ll mark u Brainliest
Answer:
11, 21, 31
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
21,
11,
31
Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
Find the range and domain for the functions shown.
(A). Domain:
(B). Range:
Answer:
The domain and the range of the function are, respectively:
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Step-by-step explanation:
Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.
[tex]Dom\{f\} = [0\,m,5\,m][/tex]
[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]
Answer:
Step-by-step explanation:
Help! I’m trying to help my friend get caught up who had been ill.
Answer:
down below
Step-by-step explanation:
i answered so that the other guy can get a brainliest:)
HELP ME EASY THINKING PROBLEM 20 POINTS
do you move the 6 for the 2?
Step-by-step explanation:
I'm sorry if its wrong
have a good day!
can i have help please
Answer:
A
Step-by-step explanation:
help pls due today thanks
Answer:
4
Step-by-step explanation:
11.2/2.75=4.07272(repeating number)
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
here ya go bub! (pls mark me brainlest)
please help me for this question:
HELP MWAH WITH YOURS TRULYS MATH
Answer:
its 1/2
Step-by-step explanation:
because 1/2 of 10/10 is 5/10
Answer:
1
Step-by-step explanation:
[tex]\frac{5}{10}[/tex]= 0.5
[tex]\frac{1}{2}[/tex]= 0.5
therefore making them equivilant
Find the interest rate for a $4600 deposit accumulating to $5994.78, compounded monthly for 4 years
what is the sum of the sequence 4 + 9 + 14 + 19 + 504
Answer:
550
Step-by-step explanation:
using my brain
Answer:
550
Step-by-step explanation:
common sense.........
Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles
Answer:
cut the two lines at the corner, don't let the lines touch
Step-by-step explanation:
Two lines are drawn at corner of a big triangle and lines should not touch each other
Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangleWhat are the steps to draw?Steps to draw the Pentagon & Triangle are as follow:
First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left cornerSo two triangle and one pentagon is produced
Learn more about Pentagon & Triangle here:
https://brainly.com/question/19596085
#SPJ2
Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz
Answer:
a) 4
b) 1
c)2
Step-by-step explanation:
a) 5y - y
= 5 - 1
=4
b) 3×1×1 + 2×1 + 3×0×0
= 3 - 2 + 0
1
c) 2×1×1 - 3×1×1×0
= 2 - 0
= 2
Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4
Step-by-step explanation:
sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3
12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?
Answer:
28 students would vote for kim
Step-by-step explanation:
Well first you do 12/15 which would be 0.8
Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
What did you include in your response? Check all that apply.
If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.
Answer:
How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
Step-by-step explanation:
A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?
========================================================
Explanation:
Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.
Let a = x, b = 18, c = 30.
Apply the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900-324
x^2 = 576
x = sqrt(576)
x = 24
The top of the ladder reaches 24 feet high.
y = 15x + 15 How do I interpret the slope and y-intercept?
Answer:
Look at explanation.
Step-by-step explanation:
The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.
PLEASE HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)
Answer:
$288
Step-by-step explanation:
to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem
16² + 12² = c²
256 + 144 = c²
400 = c²
20 = c
Area of one eave = 24 x 20 = 480
Area of total roof = 480 x 2 = 960
set up a proportion to find cost ('x'):
30 = x
100 960
cross-multiply: 100x = 28800
x = $288
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answer:
11) 4/11
12) -0.2
Step-by-step explanation: