4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.
Answers
9514 1404 393
Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
__
b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
__
c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
![4. A Rectangle Has A Diagonal Of 8 Cm. The Diagonal Creates A 60 Angle At The Base Of The Rectangle.[2]a.](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/3Q4Aub2pNS7og4tX0o9CKu9FEhEDSVwH.png)
Related Questions
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answers
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
PLEASE HELP I WILL GIVE BRAINLIEST!!!
1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.
it would be so amazing if you could help, im legit so confused :(
Answers
Answer:
1- 1+2+3+4+5 = 15
Step-by-step explanation:
Can someone please help!!!!
Answers
Answer:
2/5
Step-by-step explanation:
since the denominators are the same, the question is basically -4+6, which is 2. But remember to include the denominator
x + 3 = 0
y = 1
What is the solution of the system?
(3, 1)
(1, 3)
(1, -3)
(-3, 1)
Answers
Answer:
1 i think this is answer...
Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?
Answers
Answer:
Jug B can hold 2340 ml.
Step-by-step explanation:
Given
The amount in Jug A = 1800ml
To determine
How much does jug B hold?
Give that the Jug B holds 3/10 more, i.e.
[tex]\frac{3}{10}\times \:1800=540[/tex]
Thus,
The total amount in Jug B = 540+1800
= 2340 ml
Therefore, Jug B can hold 2340 ml.
Answer:
get into it
Step-by-step explana tion:
Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)
Answers
Answer: 2/4=1/2
Step-by-step explanation: 4-2=2. 7-3=4
Answer:
1/2
Step-by-step explanation:
4-2=2
7-3=4
2/4
2x2 + 8x - 7 = 0
How to solve
Answers
x =(8-√120)/4=2-1/2√ 30 = -0.739
Step-by-step explanation: calculator
Answer:
2 x 2 +8x -7= 0
4+8x-7=0
-3+8x=0
8x=0+3
8x/8=3/8
x=3/8
x=0.375
Step-by-step explanation:
1.Multiply 2x2 to get 4
2.Calculate the difference between 4-7
3.Move the constant to the right side
4.Divide both sides of the equation by 8
plz help me i really beg of you!
Answers
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
8.3 + 3.4y - 0.5 (12y - 7)
Answers
Answer:
-2.6y + 11.8
Step-by-step explanation:
Distribute -0.5 into 12y and -7 to get to this equation, 8.3 + 3.4y - 6y + 3.5. Combine the two like terms together to get your answer which is -2.6y + 11.8.
Find the percent increase from 85 to 125
Answers
Answer: 47.06
Step-by-step explanation: math
3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank
Answers
please help me i’ll mark brainliest, comment, and rate 5 stars
Answers
Answer:
c...........................
How many fewer 14 starfish are there than 16 jellyfish and 4 sharks
Answers
Answer:
6 fewer starfish
Step-by-step explanation:
16+4=20
20-14=6
6 fewer starfish are there.
(8x-17)(5x+19)
Find the converse and x
Answers
[tex](8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323[/tex]
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.
Answers
Answer:
B is the better detergent
Step-by-step explanation:
If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.
The two laundry detergents B cleans better.
Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.
Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.
Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).
Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.
Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.
Hence, Out of the two laundry detergents, B cleans better.
To know more visit:
https://brainly.com/question/16967035
which terms are like terms in the expression 5x + 9 + (-7x)
Answers
Answer:
5x and -7x
Step-by-step explanation:
they both end in the variable "x"
5-4x=23
What's the value of x and please show your work.
Answers
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
5-4x=23 |-5
5-4x-5=23-5
-4x=18 |*(-1)
4x=18 | /2
2x=9 |/2
x=9/2 or 4.5
Answer:
x = 4.5
Step-by-step explanation:
Subtract 5 from BOTH sides to start with:
5-5 = 0 (5 cancels out on left side) 23-5 = 18
New Equation: -4x = 18
Divide BOTH sides by -4
4 cancels out (x is left) 18/4 = 4.5
New: x = 4.5
How many people will 1 cup of rice serve?
Answers
Answer:
4
Step-by-step explanation:
Answer:
it will serve 3 people!
Step-by-step explanation:
divide 6 by 2!
hope this helped!
for brainliest!
In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter
Answers
Answer:
Jamarcus is the better shooter
Step-by-step explanation:
Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50
Answer:
Tyrell
Step-by-step explanation
Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answers
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
Solve for “z.”
Please help!
Answers
Answer: Z=5
Step-by-step explanation:
Solve the rational equation by combining expression and isolating the variable z
1.9t-5 simplify using commutative property
Pls help lolll
Answers
Answer:
There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.
Step-by-step explanation:
Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin
Answers
Answer:
a
Step-by-step explanation:
hope this help mark me brainlist plz
The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
The sequence of transformations takes A to its image A'.
Now, We have;
The coordinate of A are (4, 5)
And, The coordinate of A' are (4, - 4)
Hence, The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ3
2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.
Answers
Answer:
25 presents.
Step-by-step explanation:
First subtract 2.7(4) from 30.
30 - 2.7(4) = 19.2 meters
Now, convert 19.2 into centimeters.
There's 100cm in 1m, so 19.2 meters can be found by doing:
19.2 x 100 = 1920 cm.
Now, do 1920 divided by 75:
1920/75 = 25.6
Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.
plz hellp me plzzzzzzzzzz
Answers
Answer:
3n+6
Step-by-step explanation:
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Answers
1260 divided by 60= 21
21minutes
Jacob won 62 super bouncy balls playing
horseshoes at the county fair. At school he
gave two to every student in his math class. He only has 2 remaining. How
many students are in his class?
Answers
Answer:
30
Step-by-step explanation:
62 = 2x + 2
62 - 2 = 2x
60 = 2x
x = 30
The price of an item has been reduced by 15%. The original price was $87.
Answers
Answer:
The new cost is $73.95
The discount was $13. 05
Step-by-step explanation:
Turn the % into a decimal so it would be 0.15.
Then multiply it to the total, 87 x 0.15 = 13. 05
so the discount subtracted $13.05 off of the original price.
87 - 13. 05 = 73.95
Find ULE in the triangle
Answers
All the factors of 7 are also factors of 14. True or False?
Answers
Answer:
true
Step-by-step explanation:
