Answer:
36 feet
Step-by-step explanation:
Hello!
Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]
That means the equations is 144 = 0.5(8 * h)
Solve:
144 = 0.5(8) * h144 = 4 * h144 = 4h36 = hThe height is 36, but since the units are feet, it is 36 feet.
In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.
[tex]\boxed{\sf{Area \: of \: triangle \: = \: \dfrac{1}{2} \times l \times b }} \: \red\bigstar[/tex]Here,
l is length b is breadthTo calculate :
Height of the triangle? (i.e. length)We have :
length (l) = 8ft Area (A) = 144 ft²Putting the values in formula :
[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]
Henceforth,
Height is of 36 ft.The wholesale price desk is $153 a certain furniture store marks up the wholesale price by 38% find the price of the desk in the furniture store . Found ur answer to the nearest cent
Answer:
Step-by-step explanation:
10% = 15.30
40%=61.20
1% = 1.53
2%=3.06
61.20+3.06=64.26
153+ 64.26=217.26
Knowing that ΔBIG ≅ ΔFNS, an angle pair that is NOT necessarily congruent is:
Knowing that ΔDAL ≅ ΔEKS, a side pair that is NOT necessarily congruent is:
solutions:
1) G ≅ F
2) DA ≅ ES
Explanation:
Q)1
ΔBIG ≅ ΔFNS
pairs that are congruent:
B ≅ FI ≅ NG ≅ SFrom the list given,
→ G ≅ F is not necessarily congruent.
Q)2
ΔDAL ≅ ΔEKS
pairs that are congruent:
DA ≅ EKAL ≅ KSDL ≅ ESFrom the list given,
DA ≅ ES is not necessarily congruent.
Usually the congruence is done according to naming
So
∆BIG≅∆FNS<B=F
<I=<N
<G=<S
Option A#2
Check the naming
∆DAL≅∆EKSSo
DA=EK
And DA may not be equal to ESSo option D
Find the size of angle x.
Answer:
x = 115°
Explanation:
x + 81° + 164° = 360°x + 245° = 360°x = 360° - 245°x = 115°Answer:
x=115°
Step-by-step explanation:
whole thing is supposed to = 360° so
164+81+x=360
245+x=360
x=115
x = –8 –6x + 9y = 12 solve for substitution
Answer:
x= -8,y= -4
Step-by-step explanation:
Substitute x= -8
-6(-8)+9y=12
simplify
48+9y=12
isolate for y
y= -4
The solutions to the system of equations are:
x= -8 and y= -4
Maddi wants to build a basket with a length of 2 feet, a width of
1 feet, and a depth of 2 feet. What will the volume of her basket
be, in cubic feet?
4 ft³
volume of rectangle = length x width x height
given:
length: 2 feetwidth: 1 feetdepth: 2 feetvolume of basket:
l * w * d
2 * 1 * 2
4 ft³
Answer:
4 ft³
Step-by-step explanation:
Volume of a square prism
volume = l × w × d
(where l is the length, w is the width and d is the depth)
Given:
length = 2 ftwidth = 1 ftdepth = 2 ft⇒ volume = 2 × 1 × 2
= 4 ft³
What is the constant term in the expression 8xy − 9x2 y − 5x 6
Answer:
6
Step-by-step explanation:
A constant is a term without a variable.
Every other number has a variable (x,y) to it except for 6.
Feel free to save this for whenever you get stuck on things like this! I know this section is hard.
In the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have an expression:
[tex]\rm 8xy-9x^2+y-5x+6[/tex]
Let's denote it with f(x,y)
[tex]\rm f(x,y) =8xy-9x^2+y-5x+6[/tex]
As we know the constant term means which cannot be changed that values are fixed or fixed quantity.
From the above expression, the constant value in the expression is 6
Thus, in the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.
Learn more about Polynomial here:
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What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot
The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
What is the simplified form of an equation?The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.
The equation provided in the problem is,
[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Let the simplified form of the above expression is n. Thus,
[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]
Rewrite the equation to solve it further as,
[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]
The square of the term cancel out the square root of it. Thus,
[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]
Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
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Suppose that 16 inches of wire costs 48 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
PLS HELP ME I WILL MARK THE BRAINLIEST
#1
First the rectangle
L=18mB=7mArea
18(7)126m^2.For semicircle
d=7m=>r=3.5mArea
=πr^2/2=12.25π/2Total area
126+2(12.25π/2)126+12.25πm^2#2
r=15fttheta=332°=332×π/180=0.92πArea:-
r^2\theta15^2(0.92)207ft^2(15 points )
Find the x in the problem
(x−1)^2=9
Show steps if you can :)
Answer:
x=4 or x= -2
Step-by-step explanation:
(x-1)(x-1)
x(x-1)-1(x-1)
x^2-x-x+1
x^2-2x+1=9
x^2-2x+1-9=0
x^2-2x-8=0
p= -8
s= -2
1------ -8
2------ -4
x^2+2x-4x-8=0
x(x+2)-4(x+2)
(x+2)(x-4)=0
x+2=0
x-4=0
x= -2
or
x=4
Help!!! 8. Determine whether each pair of functions f and g are inverses. Explain your reasoning.
Answer:
I would say that a is NOT an inverse, however b is.
Step-by-step explanation:
If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.
While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.
Hope this helps you btw. I'm sorry if it doesn't though.
Does anyone know the answer?
Answer:
I think the answer must be c because the length is 6\5 feet so there no chances to be the answer is more than so the base is divited and the ft should be multiplied
What ratio forms a proportion with 2/3?
A. 2/4 B. 3/4 C. 4/6 D. 3/2
Answer:
c
Step-by-step explanation:
because you can simplify 4/6 by 2.
2 goes into 4 twice and then 2 goes into 6 3 times
2/3
Solve for m.
m/9 + 2/3 =7/3
Answer:
m= 15
Step-by-step explanation:
[tex] \frac{m}{9} + \frac{2}{3} = \frac{7}{3} [/tex]
To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.
[tex] \frac{m}{9} = \frac{7}{3} - \frac{2}{3} [/tex]
Simplify:
[tex] \frac{m}{9} = \frac{5}{3} [/tex]
Multiply both sides by 9:
[tex]m = \frac{5}{3} \times 9[/tex]
Crossing out 3 from the denominator and from 9:
m= 5(3)
m= 15
(ii) Two of the lights at the local stadium start flickering at 9:15 p.m. One of the lights flickers every 8
minutes and the other light flickers every 12 minutes. What time both lights flicker at the same time
again?
PLSS HELPPP
Answer:
At 9:39 they both will Flick
Step-by-step explanation:
so when the first light flicks it resets and starts counting to anthor 8 mins while the other takes 4 mins extra just keep adding till they both have same time
Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
Additional requirements in figure :-
Mark point :-
ABCDEDraw a straight line from E to AB .
And the point line joins mark it as "F" .
It will generate quadrilateral FBCD.
we get to know In quadrilateral left angle is 90°
How ?
{
proof :
As three angles are given 90° So third angle will also be 90°
Reason:
→ Sum of interior angles = 2 (no. of angles - 2 × 180°
→Sum of interior angles = (4-2 × 180°)
→Sum of interior angles = (2 × 180°)
→Sum of interior angles = 360°
}
✿Now let the left angle be x
90° +90° + 90° + x = 360° 180° + 90° + x = 360°270° + x = 360x = 360° - 270°x = 90°we know :
Area of rectangle = Length × Breadth
STEPS :
Area of rectangle = Length × BreadthArea of rectangle = 7 × 8Area of rectangle = 56 in²Now let's find EF :
EF = BD - ECEF = 7 - 4 EF = 3 inTo find A
F :
A•F = AB - CDA•F = 12 - 8A•F = 4 inIn triangle AFE:
EF is base of triangle A•F is height of triangleWe know :
Area of triangle =( Height × Base)/2
Steps :
Area of triangle = (Height × Base)/2Area of triangle = (4 × 3)/2Area of triangle = 12/2Area of triangle = 6 in²To find area of figure :
Area of figure = Area of rectangle + Area of triangleArea of figure = 56 + 6Area of figure = 62 in²______________________
~WindyMint
Answer:
[tex]\displaystyle 62\:in.^2[/tex]
Step-by-step explanation:
▽ [tex]\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A[/tex]
▯ [tex]\displaystyle hb = A[/tex]
All edges meet at right angles, therefore resulting in this:
[tex]\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}[/tex]
I am joyous to assist you at any time.
HELP PLEASE I NEED IT NOW.
Answer:
Below :)
Step-by-step explanation:
1) 5^2 = 25
2) 12^2 = 144
3) 9^2 = 81
4) 15^2 = 225
5) 8^2 = 64
6) 7^2 = 49
7) 20^2 = 400
8) 13^2 = 169
9) 30^2 = 900
10) 25^2 = 625
solve- cbb to work it out
➝ Hypotenuse of triangle ( a ) = 21.63 mm
➝ Hypotenuse of triangle ( b ) = 150 mm
➝ Hypotenuse of triangle ( c ) = 111.80 mm
[tex] \quad\rule{300pt}{1.5pt}\quad[/tex]
Solution:We have to find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.
Pythagoras theorem states that :" In a right angled triangle, the square of hypotenuse side is equal to the sum of square of other two sides "
[tex] \qquad \bull \:{\pmb{\mathfrak{ h^2 = b^2 + p^2}}}[/tex]
And we have to convert the answer to the units indicated in red i.e, in mm.
Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula
For triangle ( a )[tex] :\implies\qquad \sf{ h^2 = b^2 + p^2}[/tex]
[tex] :\implies\qquad \sf{ h =\sqrt{b^2 + p^2}}[/tex]
[tex] :\implies\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}[/tex]
[tex] :\implies\qquad \sf{ h= \sqrt{144 + 324}}[/tex]
[tex] :\implies\qquad \sf{ h = \sqrt{468}}[/tex]
[tex] :\implies\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}}[/tex]
For triangle ( b )[tex] :\implies\qquad \sf{ h^2 = b^2 + p^2}[/tex]
[tex] :\implies\qquad \sf{h =\sqrt{b^2 + p^2} }[/tex]
[tex] :\implies\qquad \sf{ h = \sqrt{(90)^2+(120)^2}}[/tex]
[tex] :\implies\qquad \sf{ h=\sqrt{8100+14400}}[/tex]
[tex] :\implies\qquad \sf{ h =\sqrt{22500}}[/tex]
[tex] :\implies\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} }[/tex]
For triangle ( c )[tex] :\implies\qquad \sf{h^2 = b^2 + p^2 }[/tex]
[tex] :\implies\qquad \sf{ h=\sqrt{b^2 + p^2}}[/tex]
[tex] :\implies\qquad \sf{ h =\sqrt{(100)^2)+(50)^2}}[/tex]
[tex] :\implies\qquad \sf{ h=\sqrt{10000+2500}}[/tex]
[tex] :\implies\qquad \sf{ h =\sqrt{12500}}[/tex]
[tex] :\implies\qquad \underline{\underline{\pmb{\sf{h = 111.80mm}}} }[/tex]
Hypotenuse of triangle ( a ) = 21.63 mm
Hypotenuse of triangle ( b ) = 150 mm
Hypotenuse of triangle ( c ) = 111.80 mm
Explanation :find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.
[tex]h^2 = b^2 + p^2[/tex]
And we have to convert the answer to the units indicated in red i.e, in mm.
Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula
[tex]For \: \: triangle ( a )
\qquad \sf{ h^2 = b^2 + p^2}[/tex]
[tex]\qquad \sf{ h =\sqrt{b^2 + p^2}}[/tex][tex]\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}[/tex][tex]\qquad\sf{h=\sqrt{ (12)^2 + (18)^2 }} \\ \\ \qquad \sf{ h= \sqrt{144 + 324}} \\ \\ \qquad \sf{ h = \sqrt{468}}
\\ \\\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}} \\ \\ For \: \: triangle ( b ) \qquad \sf{ h^2 = b^2 + p^2} \\ \\ \qquad \sf{h =\sqrt{b^2 + p^2} } \\ \\ \qquad \sf{ h = \sqrt{(90)^2+(120)^2}} \\ \\ \qquad \sf{ h=\sqrt{8100+14400}} \\ \\
\qquad \sf{ h =\sqrt{22500}} \\ \\\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} } \\ \\ For \: \: triangle ( c ) \qquad \sf{h^2 = b^2 + p^2 } \\ \\ \qquad \sf{ h=\sqrt{b^2 + p^2}} \\ \\\qquad\sf{ h=\sqrt{(100)^2)+(50)^2}} \\ \\\qquad\sf{ h=\sqrt{10000+2500}} \\ \\ \qquad \sf{ h =\sqrt{12500}} \\ \\
\qquad\underline{\underline{\pmb{\sf{h = 111.80mm}}} } [/tex]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The school band director has a budget $4,428.00 to spend on the band room, instruments, music, and uniforms. There are four sections in the band: drum corps, woodwinds, horns, and color guard. She has received three offers.
Option 1. Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
Option 2. Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
Option 3. Repair uniforms at $287.00 per section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
The remainder of the money will be split evenly among the four sections for additional costs. Match each option with the amount of money each section will receive for additional costs.
Answer:
The amount of money left for each section to spend from the budget in additional costs if they follow exact of the
options is
Option 1-$497.5
Option 2 - $494.5
Option 3 - $500.5
The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should
be matched accordingly.
Step-by-step explanation:
We first calculate the amount left per section after following each of the options.
Budget $4,428.00
Option 1.
Repair and replace uniforms at $564.00 per section and spend $182.00 on music.
There are 4 sections, hence, total amount spent in this option:
4(564) + 182 $2438
Amount of money left from the budget after spending= 4428-2438 = $1990
Amount left per section = (1990/4) =
$497.5
Option 2
ធ
Repair and replace uniforms at $593.00 per section and spend $78.00 on music.
There are 4 sections, hence, total amount spent in this option:
4(593) + 78 $2450
Amount of money left from the budget after spending= 4428 - 2450= $1978
Amount left per section = (1978/4)=
$494.5
Option 3
Repair uniforms at $287.00 per
section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.
There are 4 sections, hence, total amount spent in this option:
4(287) + 856 +422 = $2426
Amount of money left from the budget
after spending = 4428-2426 = $2002
Amount left per section = (2002/4)= $500.5
(1/10 * 1/10 * 1/10) = (- 10) ^ 3
Is it true or false
Answer:
False
Step-by-step explanation:
The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.
(1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3
The given equation is FALSE.
__
This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.
please help with angle addition
Answer:
m∠1 = 89°
Step-by-step explanation:
Since m∠2 is a part of ∠GFH, he can do the following.
∠GFH - m∠2 = m∠1
133° - 44° = 89°
The photo is shown below, please help!
Answer/Explanation:
The formula for a rectangular prism is Length x Width x Height
With this information we can multiply 6x8x2 and get 96 ft³.
This is the volume of the original prism.
Doubling the dimensions means multiplying each side by 2.
The new dimensions would be a.16 b.4 c.12
Use the formula to find volume. 12x16x4=768
The volume of the enlarged prism is 768 feet³
For bonus question, divide 768 by 96.
The scale factor is 8.
Gabrielle is saving money for a vacation. Each week she save $40. Let a represent the total amount of money Gabrielle saves, and let w represent the number of weeks. How much money would she save from 1 to 7 weeks?
Step-by-step explanation:
A = 40w
To Calculate how much she would get in 7 weeks
Substitute w = 7 into A = 40w
⇒ A = 40(7)
⇒ A = 280
Gabrielle would save $280 in 7 weeks
Please Help!
In the diagram, secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. The lines intersect outside the circle at point P.
What is the length of AP?
(There are no answer options you must enter the correct value)
Answer AP might be 12
Step-by-step explanation:
The length of AP when secant AP intersects the circle at points A and B, and secant CP intersects the circle at points C and D. is 12 units.
The length of AP can be found using the following steps:
Draw a radius from the center of the circle to point P.
Let the radius intersect secant AP at point E.
Since AP and PE are secant segments, they share a common external tangent at point P.
Therefore, the two triangles, APE and BPF, are similar triangles.
The ratio of corresponding sides in similar triangles is equal, so:
AP/PB = PE/PF
We know that PB = 5 and PF = 20, so:
AP/5 = PE/20
Solving for AP, we get:
AP = 5 * 20/5 = 20
The diagram shows the two similar triangles, APE and BPF. The two triangles are similar because they share a common external tangent at point P. The ratio of corresponding sides in similar triangles is equal, so we can use the ratio of AP to PB to find the length of AP.
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Nick and his family travel by train to New York City.
The clocks show when the train leaves the station and when it arrives in New York City.
How long is the train ride?
Answer:4:15
Step-by-step explanation:
EZ
I’ll give you brainiest who ever answer this right
Answer:
y=x+1
Step-by-step explanation:
at each x you move up by 1
. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.
2. how many bacteria cells will be present in the dish after 3 hours?
3.how many bacteria cells will be present after 12 hours?
Answer:
you first divide fifty out of one hundred then we multiply it by thirty
Evaluate the expression. Write your answer in scientific notation.
6 (6 x 10^-3) + 0.23 – (5 x 10^-2) =
Ralph plotted the points (-4, 1) and (-4,-1) on a coordinate grid. What is the distance,
in units, between the points Ralph plotted?
a 1
B -2
C 2
D 0
In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____. A. 0° b. 32° c. 100° d. 273°.
The thermometer is a device that is used to measure the temperature gradient. Anders needs to set the boiling point of water at 100° C.
What is a thermometer?
The thermometer is a device that is used to measure the temperature gradient or the temperature of a body/object.
The boiling point of water is 100°C, therefore, Anders needs to set the boiling point of water at 100° C.
Thus, Anders needs to set the boiling point of water at 100° C.
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