Answers
Answer:
B
Step-by-step explanation:
Convert from mixed numbers to improper fractions:
[tex]\sf area=90 \frac{3}{10}=\dfrac{90 \cdot 10+3}{10}=\dfrac{903}{10}[/tex]
[tex]\sf length=10\frac12=\dfrac{10 \cdot 2+1}{2}=\dfrac{21}{2}[/tex]
Area of a rectangle = length x width
⇒ width = area ÷ length
[tex]\sf \implies width=\dfrac{903}{10} \div \dfrac{21}{2}[/tex]
[tex]\sf \implies width=\dfrac{903}{10} \times \dfrac{2}{21}[/tex]
[tex]\sf \implies width=\dfrac{1806}{210}[/tex]
[tex]\sf \implies width=\dfrac{1806 \div 42}{210 \div 42}[/tex]
[tex]\sf \implies width=\dfrac{43}{5}[/tex]
[tex]\sf \implies width=8\frac35[/tex]
[tex] \pink{ \text{Given:}}[/tex]
[tex] \\ [/tex]
[tex] \star \sf{}Area =90 \dfrac{3}{10} [/tex]
[tex] \\ [/tex]
[tex] \star \sf{}Length =10 \dfrac{1}{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \purple{ \text{To~Find:}}[/tex]
[tex] \\ \\ [/tex]
[tex] \star \sf Width \: of \: rectangle[/tex]
[tex] \\ \\ [/tex]
[tex] \orange{ \text{Solution:}}[/tex]
[tex] \\ \\ [/tex]
So first convert length and area from fraction form to decible.
[tex] \leadsto\sf{}Area =90 \dfrac{3}{10} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Area = \dfrac{903}{10} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Area =90.3[/tex]
[tex] \\ [/tex]
Now convert value length into decibel .
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length =10 \dfrac{1}{2} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length = \dfrac{21}{2} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length = 10.5[/tex]
[tex] \\ [/tex]
We know :-
[tex]\bigstar\boxed{\rm Area~of~rectangle= length \times width}[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \\ [/tex]
[tex]: \implies\sf Area~of~rectangle= length \times width \\ \\ \\ : \implies\sf 90.3= 10.5 \times width \\ \\ \\: \implies\sf 90.3 \div 10.5=width \\ \\ \\: \implies\sf \dfrac{ 90.3}{10.5}=width \\ \\ \\: \implies\sf \dfrac{ 90 \cancel.3}{10 \cancel.5}=width \\ \\ \\: \implies\sf \dfrac{ 903}{105}=width \\ \\ \\: \implies\sf width = \dfrac{ 903}{105} \\ \\ \\: \implies \underline{\boxed{\sf width = 8.6}} \pink\bigstar[/tex]
[tex]\\\\\\[/tex]
Know More:[tex]\begin{lgathered}\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}[/tex]
Related Questions
Si Adrián tiene “x” años de edad, Teresa la tercera parte de Adrián, Isabel el doble de Teresa y Felipe el cuádruple de Adrián, ¿cuánto suman las edades de los cuatro? Selecciona el inciso correcto.
Answers
the answer is ISABELLA YOUR BOYFRINDS HERE
which expression shows 48+36 written as a protuct of two factors
Answers
Answer:
12(4+3)
Step-by-step explanation:
Factor out all of the problems.
Starting with 4(12+4)
This means (4*12)+(4*4)
48+16 is the answer to this
this isn't 48 + 36
12(4+3) is next
12*4 = 48
12*3 = 36
48+36 = 48 + 36
Therefore 12(4+3) is your answer
hope that helps!
hope this is what your looking for
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Answer: ASA
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Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!
Answers
Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
Common segmentTo find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
__
Missing measureThe side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
bro no one is helping??
Answers
Answer:
A-6 , B-19 , C-55 , D-119 , E-70
Step-by-step explanation:
Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.
Subtract 64 from 70 (E) to find out blank A.
Add 6 and 13 get the total for TV, blank B.
To get blank C, you need to subtract 13 from 68.
For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.
The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.
Answers
Answer:
17,535 dollars
Step-by-step explanation:
5% of 16,700 is 835, so add the two together and you get your answer.
Find X.
A. 32
B. 8
C. 16
D. 24
Answers
Answer: D
Step-by-step explanation:
x-5=16 what operation would you have to do on both sides of the equation to get x by itself
Answers
Answer:
Add 5 to both sides
Step-by-step explanation:
x-5=16
+5 +5
x=21
Answer:
Addition
Step-by-step explanation:
x - 5 = 16
x - 5 + 5 = 16 + 5
x = 21
A bag contains 12 toffees. Kate eats 3 toffees and Josh eats 4 toffees.
What fraction of the toffees are left?
Answers
Answer:
5/12
Step-by-step explanation:
3 + 5 = 7
12/12 - 7/12 = 5/12
Answer:
total toffees=12
remaining toffees=12-(4+3)
=12-7
=5
fraction of toffees left
= 5/12
What is the median of this data set? {12, 8, 9, 12, 10, 13, 8} Enter your answer in the box.
Answers
Answer:
the median is 10
Step-by-step explanation:
8, 8, 9, 10, 12, 12, 13
8, 9, 10, 12, 12
9, 10, 12
10
Answer:
10
Step-by-step explanation:
The base of a solid S is the region bounded by the parabola x^2=8y
Cross-sections perpendicular to the yyy-axis are equilateral triangles.
Determine the exact volume of solid SSS.
Answers
Step-by-step explanation:Updated answer is the second one
Players heights:
72, 75, 78, 72, 73.
What is the range of
heights?
Answers
Answer:
6
Range is calculated by substracting smallest value but highest value.
Please give brainliest.
simplify 10 to the square root
Answers
Answer: 10
Step-by-step explanation: that is the answer because you can not simplify it any further
Please help its decimals
Answers
Each line they are adding 4.96
11.72 + 4.96 = 16.68
Answer:
the correct answer is 16.68
a rectangle is 9 meters long and the area is 72 square meters what is the perimeter
Answers
Answer:
Area = length × width
72 = 9 × width
8 = width (9 × 8 = 72)
pertinter = length + width + length + width
= 9 + 8 + 9 + 8
perimeter = 34
Answer:
perimeter: 34 m
Step-by-step explanation:
length : 9area : 72width * length = area
width * 9 = 72width = 72/9width = 8 mperimeter:
2 ( length + width )2 ( 9 + 8 )34 mWhat is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 over 36 endfraction startfraction 157 over 12 endfraction
Answers
The length of the radius will be 22 units.
What is the radius?The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]
By solving the above equation we get
[tex]r=(\dfrac{18997}{864} )[/tex]
[tex]r=22[/tex]
Hence the length of the radius will be 22 units.
To know more about radius follow
https://brainly.com/question/24375372
Answer:
85/12
Step-by-step explanation:
4
True or False: The probability of an event can be greater than 1.
A True
B False
<
Answers
Answer:
False
Step-by-step explanation:
probabilities are or are between 0 and 1
1 means complete certainty
toppr
What is the sum of all integers between square root of 8 and square root 113?
Answer: The sum is____
Answers
The integers between square root of 8 and square root 113 are the numbers without decimal points
The sum is 52
How to detemine the sum?The square root of 8 is 2.82
The square root of 113 is 10.63
The integers between 2.82 and 10.63 are:
3, 4, 5, 6, 7, 8, 9 and 10
The sum of these integers is represented as:
Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10
Evaluate the sum
Sum = 52
Hence, the sum is 52
Read more about integer sum at:
https://brainly.com/question/10853762
**20 POINTS + BRAINLIEST** Please help me with the math question!
Answers
Answer:
1/6.2=15/x
Step-by-step explanation:
15:x=1:6.2
Answer:
D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]
93 meters
Step-by-step explanation:
Howard has a scale model of the Statue of Liberty
The model is 15 inches tall.The scale of the model to the actual statue is 1 inch: 6.2 meters1 inch = 6.2 meters
15 inches = ? meters
[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply
1x = 93 <== divide both sides by 1
/1 /1
x = 93 meters <== the height of the model, our final answer
Hope this helps!
Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.
Answers
56.25 X 5 = 281.25
281.25 X 1.79 = 503.4375
For 5 pieces of plywood it would equal a total of 281.25 square feet, and it would cost 503.43$
Express a in terms of c and p 4(2a+p) = c+p+a
Answers
Answer:
[tex]\frac{c-3p}{7}[/tex]
Step-by-step explanation:
1) 4(2a+p)=c+p+a
2) Expand: 8a+4p=c+p+a
3) subract a and 4p: 7a=c-3p
4) Divide: a=[tex]\frac{c-3p}{7}[/tex]
Answer provided by Education Point
A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.
Answers
Answer:
1 m/s/s.
Step-by-step explanation:
Acccelaration = rate of change of speed
= (40 - 30) /10
= 10/10
= 1 m/s/s.
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat.
the probability of randomly selecting a number less than 16 is 3/4 choose the
likelihood that best describes the probability of this event.
Answers
Answer:
Likely
Step-by-step explanation:
took the test
what are the coordinates of a point where graph of y=x2+3x+2 crosses the x axis
Answers
Answer:
x= -2, 0
Step-by-step explanation:
Please help when you it’s important
Answers
The area of the sandbox is 5 x 5 = 25 square feet.
the cost of the sand = 25 square feet x 1.47 = $36.75
Answer: $36.75
Answer:
36.75
Step-by-step explanation:
5*5=25 ft^2
(area)
25*1.47=36.75
sand cost
12 points
Will mark brainliest to who ever answers first
Answers
Answer:
80 pounds
Step-by-step explanation:
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°
Answers
Answer:
x = 8
Step-by-step explanation:
3x + 2 + 7x + 8 = 90
10x + 10 = 90
10x = 80
x = 8
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Answers
Answer:
The first one: 13.125 ft³
The second one: 67.5 ft³
Step-by-step explanation:
For the first one:
The volume of a prism is length x width x height.
So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.
However, you can conver 1/2 to .5, to make it easier to multiply.
So, 3.5 x 2.5 x 1.5 = 13.125
Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
For the second one, same formula:
Length = 6, width = 2 1/2, and height = 4 1/2
6 x 2.5 x 4.5 = 67.5
Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.
Answer:
13.125 [tex]ft^{3}[/tex]
Step-by-step explanation:
Volume is base * length * height.
In this case, the dimensions are 1.5, 3.5, and 2.5.
Assuming these values are the base, length, and height,
1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].
Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].
Hope this helps!
Also, please mark as brainliest!
Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48.
Answers
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let suppose the width of the rectangle mosaic is w cm. Thus the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]48=(w+2)\times w\\48=(w+2)w\\[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w + 2) = 48[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)