Answer:
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Step-by-step explanation:
Given:
Hypotenuse BD = 12 unit
Angle θ = 30°
Find:
Perimeter of rectangle ABCD
Computation:
Using trigonometry function
Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
Cos θ = Base / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Perimeter of rectangle ABCD = 2[Length + Width]
Perimeter of rectangle ABCD = 2[6 + 10.4]
Perimeter of rectangle ABCD = 2[16.4]
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
The perimeter of rectangle ABCD = 32.8 unit
We have given that,Hypotenuse BD = 12 unit
Angle θ = 30°
To find the perimeter of rectangle ABCD
Using trigonometry function
What is the formula for the sin ratio?Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
What is the ratio of cos theta?Cos θ = adjucent side / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Formula for the perimeter of rectangle ABCD = 2(Length + Width)
Perimeter of rectangle ABCD = 2(6 + 10.4)
Perimeter of rectangle ABCD = 2(16.4)
Therefore,the perimeter of rectangle ABCD = 32.8 unit
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Which number is less than 0.4???
A. 0.57
B.0.09
C. 0.7
D.0.90
E.0.5
As an inequality, the number that is less than 0.4 is 0.09
How to determine the number?The number is given as:
0.4
Let the number be represented as x.
So, we have:
x < 0.4
From the list of given options, the possible value of x is 0.09.
This means that 0.09 is less than 0.4
i.e 0.09 < 0.4
Hence, the number that is less than 0.4 is 0.09
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HELP What is the area of the rectangle?
Answer:
1400.
Format :
(50 x 14) 2
So first you know that the smaller sides are 14cm. add 14 + 14 to get 28. search up the rest.
A state park uses a histogram to record the heights of various trees. Suppose three of the trees increase in height from 66 inches to 79 inches over a period of 2 years. Which bar(s) will change on the histogram?
15 POINTS!!
Answer:
Blue and purple bars will change on the histogram
Step-by-step explanation:
Size of two bars will change
a) The blue bar with range 65 -70. This bar will reduce in size as three of its reading have shifted to another bar color
b) The purple bar with range 75-80. The size of this bar will increase in size as it will get three new entries from the blue bar
The area of a square lawn is 400 m². Find the side length of
the lawn.
Answer:
20 meters
Step-by-step explanation:
Area is the product of two sides. The lawn is a square so all sides are equal.
400/20 = 20
20*20 = 400
This circle is centered at the origin, and the length of its radius is 8. What is the circle's equation?
The choose (D)
x²+y²=64
A person walks 14 mile in 18 hour.
The person's speed is
miles per hour.
Answer:
[tex]\frac{7}{9}[/tex] of a mile per hour
0.77777778 of a mile per hour
Step-by-step explanation:
[tex]\frac{y}{14} :\frac{1}{18}[/tex]
y · 18 = 1 · 14
18y = 14
18y ÷ 18 = 14 ÷ 18
[tex]y=\frac{7}{9}[/tex]
Answer: 1.28571428571
Step-by-step explanation: You divide the hours by miles
Lillian has 8 jars each with 240 milliliters of apple cider vinegar. How many liters of vinegar is in all 8 jars?
1 L = 1000 mL
Answer: 0.24 liters
Step-by-step explanation:
since we have 240 mL, we know that the answer would be ”less than one”
so all you need to do is 240/1000 with is 0.24.
hope this helps !
the reciprocal of __________is -3/8.
Answer:
The answer is -8/3
Step-by-step explanation:
the reciprocal of -3/8. is -8/3
Thus, The answer is -8/3
-TheUnknownScientist
Answer:
[tex] \bf \huge \: -8/3 [/tex]Step-by-step explanation:
Given :-the reciprocal of __________is -3/8.To find :-reciprocal of ____is -3/8.Explanation :-➪ The reciprocal of -8/3 is -3/8.
Describe two ways to write 7/3 as a mixed number
Answer:
2 1/3 and 1 1/6
Step-by-step explanation:
Evaluate the expression for the given value of x. 8x + 7 for x = 4
Answer:
39
Step-by-step explanation:
First, we change 8x +7 to 8(4) + 7
Then, 8 x 4 = 32
Lastly, 32 + 7 = 39
A basketball team has 5 players. How many different teams can be formed from 15 people if position doesn't matter
Answer:
3 i think
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3. Because If You Divide 15 People by 5 Players It Equals Up To 3 Team's of people
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
There is a photo please help quick.
Answer:
B
Step-by-step explanation:
1/4 + 2/3
(3+8)/12
11/12
Help plz..And No links!! I repeat No links!!
Answer:
QS = 69
Step-by-step explanation:
Step 1
We solve using Triangle Proportionality Theorem
QR : RS = QU : UT
QR = 23
RS = ?
QU = 25
UT = 50
QR/RS = QU/UT
23/RS = 25/50
Cross Multiply
RS × 25 = 23 × 50
RS = 23 × 50/25
RS = 46
Step 2
QS = QR + RS
QR = 23
RS = 46
Hence, QS = 23 + 46
QS = 69
Enter the value that belongs in the
green box.
57°
Х
Z
33
25
tan 33
Answer:
x
Step-by-step explanation:
tan33° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{25}[/tex]
the distance between sandville and lewiston is shown on the map what is actual distance between the town?
Answer:
260 miles
Step-by-step explanation:
set up a proportion:
6.5/d = 1/40
cross-multiply:
d = 40(6.5) which equals 260 miles
A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False
Answer:
TRUE!
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
If you have 2 Liters, then you would DOUBLE the milliliters (2000)
A local sandwich shop
received an order for
35 turkey sandwiches,
30 chicken sandwiches,
And 35 vegetarian
sandwiches. If each of the
four cooks made an equal
number of sandwiches, how
many did each cook make?
PLZ HELP ME I BEG UU!! NEED ASAP
Answer:
perimeter of triangle=20+20+24=64mm
height of triangle =16mm
length of rectangle=23mm
breadth of rectangle=24mm
we have
Total surface area=perimeter of triangle *length + 2*area of rectangle
=64*23+2*23*24=2576mm²
Surface area=2576mm²
Answer:
1856
Step-by-step explanation
A = bh + 2ls + lb
Using the formula we get 1856
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A rectangular prism has the following dimensions.
length: 8 cm
width: 13 cm
height: 10.5 cm
If all the dimensions of the prism are doubled, what will be its new surface area?
1,298 cm2
4,192 cm2
2,596 cm2
4,368 cm2
Answer:
2,596 cm 2
Step-by-step explanation:
what is 4/8 as a whole number
Answer:
4/8=1/2 but it can't be written as a whole number
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
cannot be written as a whole number because it can be simplified down.
Step-by-step explanation:
its decimal form is 0.5 and if you simplify it down to its least you get 4/8=2
Subtract (6x² + 8x - 5) from (7x? + 8x - 4)
Answer:
−6x^2+7x+1
Step-by-step explanation:
1)(7x+8x-4)=15x−4
2)15x-4-(6x^2+8x-5)=−6x2+7x+1
helppp
Answer options
A: (2,0)
B:(8,0)
C:(-3,5)
D:(5,-3)
The stem-and-leaf plot shows the number of broken crayons in each crayon box at a preschool. What is the greatest number of broken crayons in a box?
A 7 crayons
B 47 crayons
c 477 crayons
d 1469 crayons
(x-7) (-9) + (x-7) ( 4x+5)
Answer:
4x^2−32x+28
Step-by-step explanation:
The correct answer will be [tex]4x^{2} - 32x + 28[/tex]
Let's simplify step-by-step.
(x−7)(−9)+(x−7)(4x+5)
Distribute:
= (x)(−9)+(−7)(−9)+(x)(4x)+(x)(5)+(−7)(4x)+(−7)(5)
= −9x+63+4x2+5x+−28x+−35
Combine Like Terms:
= −9x+63+4x2+5x+−28x+−35
= (4x2)+(−9x+5x+−28x)+(63+−35)
= 4x2+−32x+28
What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2
pvuy6hu8nf
Looking for babygirlsimps
Answer:
thanks
Step-by-step explanation:
go to another app
Simplify the expression.
4(20 + 12) – (4 - 3)
Answer:
127
Step-by-step explanation:
see image below:)
Answer:
127
Step-by-step explanation:
4(20 + 12) – (4 - 3)
80+ 48 - 1
127
I hope this helped!
A fast food restaurant offers a bonus to each meal purchased. The bonus could be a free ice cream, pop, or fries. The owner wants the fries to be given twice as often as either ice cream or pop. Design a spinner that will simulate the likelihood of getting each type of bonus
Answer:123456789/j
Step-by-step explanation:
hello jannat l
A new motorcycle has a value of $8,000. Every year its value decreases by $500. Which function can be used to find y, the value of the motorcycle in x years?
A. y = 500x + 8,000
B. y = -500x - 8,000
C. y = -500x + 8,000
D. y = 500x - 8,000
PLEASE HELP ME :)
Answer:
d
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A new motorcycle has a value of $8,000.
Every year its value decreases by $500.
Now,
y = amount of the motorcycle
x = number of years
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Thus,
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Option C is the correct answer.
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