Answers
Answer:
A = 6.1 units²
Step-by-step explanation:
Δ ABC and Δ A'B'C' are congruent, since the translation only shifts their position , but does not change their dimensions, then
AB = A'B' = 6.1
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 2 and h = 6.1 , then
A = [tex]\frac{1}{2}[/tex] × 2 × 6.1 = 1 × 6.1 = 6.1 units²
Related Questions
Solve 17 and 18 please.
Answers
Answer:
Step-by-step explanation:
17.
sin20° = [tex]\frac{1}{x}[/tex]
x = 1 ÷ sin20°
x ≈ 2.9238
cos20° = [tex]\frac{x}{y}[/tex]
y = x ÷ cos20°
y ≈ 2.9238 ÷ cos20° ≈ 3.11
18.
x = 2√3 ≈ 3.46
y = √3 ≈ 1.732
find the area D (1,3) F (-4,-3) E (4, -3)
Answers
Answer:
Step-by-step explanation:
FE=4+4=8
Altitude=3+3=6
area=1/2×FE×6=1/2×8×6=24 sq. units.
or
area=1/2×
I 1 3|
|-4 -3|
| 4 -3|
| 1 3|
=1/2[(-3+12)+(12+12)+(12+3)]
=1/2[9+24+15]
=1/2[48]
=24 sq. units
Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.
Answers
Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
7. A gym is offering a deal to members. Customers can sign up by paying a
registration fee of $100 and $28 per month. The function that models this
situation is c(m) = 28m + 100, where m is the number of months and c(m) is
the cost of becoming a member.
Answers
Answer:
I dont know
Step-by-step explanation:
Super Storage takes storage cubes to customers, the customers fill them, and then super storage takes the cubes to their storage warehouse. The volume for one storage cube is 1,041 1/4 cubic feet. If the cubes length is 12 1/4 feet and the width is 8 1/2 feet, how tall is 1 cube.
Answers
Answer:
The height is 10ft
Step-by-step explanation:
Given
[tex]V = 1041\frac{1}{4}ft^3[/tex] --- Volume
[tex]L = 12\frac{1}{4}ft[/tex] --- Length
[tex]W = 8\frac{1}{2}ft[/tex] --- Width
Required
The height (H)
The volume is calculated using:
[tex]V = LWH[/tex]
Make H the subject
[tex]H = \frac{V}{LW}[/tex]
Substitute values for V, L and W
[tex]H = \frac{1041\frac{1}{4}}{12\frac{1}{4}*8\frac{1}{2}}[/tex]
Express as decimals
[tex]H = \frac{1041.25}{12.25*8.5}[/tex]
[tex]H = \frac{1041.25}{104.125}[/tex]
[tex]H = 10[/tex]
The height is 10ft
Find the mode from the dot plot. Quick pls
Answers
Hey there!
“What is the mode?”
The mode in mathematical terms means “the REPEATED NUMBER in the data”
Going through all of the terms in the given data none of them seems to be repeated
Option A-C aren't the answers because NONE of those numbers repeated in the data plot
Option D. is the answer because there are no given data in the plot
Answer: Option D. “There is no mode”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I need help with this one
Answers
Answer:
B
Step-by-step explanation:
if you look closely, you can see that the side of it goes up 2, then 2, then 1.
Answer:
The one on the right
Step-by-step explanation:
What percent does a lender generally look for when considering the debt-to-income (DTI) ratio of a loan applicant?
a. less than or equal to 36%
b. less than or equal to 42%
c. less than or equal to 50%
d. less than or equal to 72%
Please select the best answer from the choices provided
A. B. C. D.
Answers
Answer:
A
Step-by-step explanation:
less than 36% seems fine
Answer:
A
Step-by-step explanation:
Two of the volleyball team’s coaches and three of the players’ parents would like to
make speeches during the fundraiser. The principal wants the total time for speeches
to be under 30 minutes. Explain how to write an inequality to find the possible average
length of each speech.
Answers
Answer:
5x < 30
Step-by-step explanation:
coaches = 2x
parents = 3x
total time = under 30 mins
2x + 3x < 30
5x < 30
x < 6
Answer:
Sample response: Choose a variable to represent the average speech length. If x is the variable, then the inequality would be (2+3)x < 30,="" or="">x < 30. The 2 + 3, or 5, represents the total number of people making speeches. Each one would last an average of x minutes, so we want the product of x and (2+3) to be less than 30, the time limit set by the principal.
For those who wanted the sample response.
What is the distance between point P and point R?
Answers
Answer:
PR = 10
Step-by-step explanation:
PR = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates for P and R are (0,4) and (-6,-4) respectively.
So you plug in the values:
PR = [tex]\sqrt{(-6-0)^2+(-4-4)^2}[/tex]
PR = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]
PR = [tex]\sqrt{36+64}[/tex]
PR = [tex]\sqrt{100}[/tex]
PR = 10
I’m really confused, can I get some help
True or False: The following lengths make a right triangle?
a = 6
b = 8
C = 9
6
8
9
O True
O False
Answers
Answer:
False is the correct answer
6²=36
8²=64 add them 100≠9²
steve desposite $1800 per month in his saving bank account. If thi is 20% of the monthly income, find his monthly income
Answers
Step-by-step explanation:
Hey there!
The amount deposited= $1800
And it's just 20% of total monthly amount.
Let total amount be "x".
Then;
$1800 = 20% of X
[tex]1800 = \frac{20}{100} \times x[/tex]
or, 180000= 20x
or, X = 180000=/20
Therefore, total monthly amount or income was $9000.
Hope it helps!
Rotate the triangle 90° anti-clockwise about the cross.
Answers
Answer:
see below
Step-by-step explanation:
-90 degrees, the rule is (x, y) --------> (-y, x)
The leftmost point is at (1,1) so it will be at (-1, 1)
The top right point is at (4,1) so it will be at (-1,4)
The bottom right point is at (4,-1) so it will be at (1,4)
4. Find the perimeter of quadrilateral PQRS
Answers
Four rays come together at a single point. What is the value of the missing angle?
Answers
Answer:
? = 140
Step-by-step explanation:
The rays form a circle, which is 360 degrees
90+ 105+25+? = 360
Combine like terms
220+? = 360
? = 360-220
? = 140
140 degrees
Explanation:
All of those angles would add up to 360 degrees since it makes up a full circle.
360-105-90-25= 140
Aaron rented a boat at $180 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $375.
Part A: Write an equation in the standard form to represent the total rent (y) that Aaron has to pay for renting the boat for x days.
Part B: Write the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Answers
Answer:
a little bit of a function of the cabinet and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and
Help are these correct ahahahahhh and explain pls
Answers
Write an example for binomial of degree 999.
Answers
Answer:
x⁹⁹⁹ + 1
Step-by-step explanation:
a binomial is a polynomial that is the sum of two terms
x⁹⁹⁹ + 1
A 12 pack of lemonade costs $5.40.how much do each lemonade costs?
Answers
What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x
Answers
Answer:
Combine like terms
Step-by-step explanation:
3x + 6 = 10 + 3x + 4x
Combine like terms
3x + 6 = 10 + 7x
Subtract 3x from each side
3x-3x + 6 = 10 + 7x -3x
6 = 10 +4x
Subtract 10 from each side
6-10 = 10+4x-10
-4 = 4x
Divide by 4
-4/4 = 4x/4
-1 =x
Answer:
3x + 6 = 10 + 7x
is the first step to solving this equation
Which of the following represents the ratio given side to the hypotenuse? (PLEASE ANSWER IMMEDIATELY)
Answers
Answer:
option C
Step-by-step explanation:
[tex]given \ side : hypotenuse \\\\3 : 3 \sqrt2\\\\1 : \sqrt2[/tex]
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 39% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 66 of the dragon eggs to incubate. Consider all the possible samples of 66 dragon eggs. What is the usual number of yellow eggs in samples of 66 eggs
Answers
Answer: The usual number of yellow eggs in the selected sample is 26.
Step-by-step explanation:
It is given that there are 2 types of dragon eggs: Yellow and green
Observation says that 39% of the eggs are yellow.
When selected at random for incubation:
Number of eggs selected are = 66
To evaluate the number of yellow eggs, we must calculate 39% of 66 eggs
[tex]\Rightarrow \frac{39}{100}\times 66\\\\\Rightarrow 25.74\approx 26[/tex]
Hence, the usual number of yellow eggs in the selected sample is 26.
A lamp shade is in form of a frustum of a cone , its upper and lower diameter are 10cm and 20cm respectively , its height is 12cm . Calculate the volume of the frustum
Answers
Answer:
V = 8796.45 [tex]cm^3[/tex]
Step-by-step explanation:
Given data :
A lamp shade is in the form of a frustum of a cone.
The upper diameter of the cone, r = 10 cm
The lower diameter of the cone, R = 20 cm
The height of the frustum, h = 12 cm
Therefore, the volume of the frustum of cone is given by :
[tex]V = \frac{1}{3} \pi H ( R^2 + Rr+r^2)[/tex]
Putting the values, we get
[tex]V = \frac{1}{3} \pi \times 12 [( 20)^2 + (20)(10)+(10)^2][/tex]
[tex]$V=4 \pi[400 + 200+100]$[/tex]
[tex]$V=4 \pi[700]$[/tex]
V = 8796.45 [tex]cm^3[/tex]
Thus the volume of the frustum of cone is V = 8796.45 [tex]cm^3[/tex]
If x varies inversely as y and x = 18 when y = 2.4, what is the value of x when y = -6 ?
Answers
Answer:
Download Microsoft Math solver you will get you answer from there
Find the surface area of a cylinder with a height of 7 feet and base radius of 4 feet. ,_____ square feet
Answers
Answer:
276.32
Like I have explained in a prev. Question of yours.
Answer:
The surface area of cylinder is 276.32 feet²
hope it helps
have a nice day
what cannot form a triangle 10 POINTS
Answers
The area model represents the quotient of 108 ÷ 9. Which equation shown by the area model can be used to find the quotient?
Answers
Solution :
Given that the area model that represents a quotient of 108 ÷ 9.
So, we multiply 9 by multiples of [tex]10[/tex] to [tex]\text{estimate the quotient.}[/tex]
10 20 30 40
90 180 270 360
Because 108 is between 90 and 180, the quotient lies between 10 and 20.
Using 10 as the first partial quotient in the area model for 108 ÷ 9,
9 x 10 = 90 , so 108 - 90 = 18
Now, 9 x 2 = 18, so 18 - 18 = 0
∴ 10 + 2 = 12
Therefore, the quotient of 108 ÷ 9 is 12.
Answer: 108 ÷ 9 is 12.
Step-by-step explanation:
HELLPPPPPP PLEASEEE!!!
Answers
Answer:
Step-by-step explanation:
The first term is 2
Therefor t₁ = 2
Each aditional term is 5 times the previous term
That's the second choice
Are lines l and k parallel?
Answers
Answer:
yes they ar op b
Step-by-step explanation:
NO LINKS !!!!
Select all the pairs that are alternate interior angles.
1/2 5/6
4/38/7
A. Z6 and 25
B. 23 and 2 5
C. Z 5 and 24
OD. Z 8 and 2 1
E. Z 2 and 28