What is the height and area of the polygon?
Answer:
Below in bold.
Step-by-step explanation:
If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.
Height of this triangle = sqrt(5^2 - 3^2) = 4.
This is also the height of the polygon.
The polygon is a trapezium so:
Area of the polygon = 1/2(5 + 8) * 4
= 6/5 * 4
= 26 m^2.
Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?
Answer:
40 minutes
Step-by-step explanation:
Math Problems 3 15
---------------------- ----- = ------
Minutes 8 x
3x = 15 * 8
x = 15 * 8 / 3
x = 120 / 3
x = 40
40 Minutes
What is the volume of this rectangular prism?
1/4 cm,
1/2 cm,
1/3 cm
Reduce the fraction to its simplest terms.
factor the expression below
x^2-49
Answer:
(x+7)(x-7)
Mark my answer as Brainlist.
please help
How are transformations related to congruence?
Answer:
Congruence transformations
transformations that are performed on an object that can create a congruent object
Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3
Step-by-step explanation:
4/7÷21/3
=4/7*3/21
=12/147
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex] ← change mixed number to improper fraction
= [tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]
To perform the division
Leave the first fraction. change division to multiplication and turn the second fraction upside down.
= [tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] ← multiply numerators/ denominators together
= [tex]\frac{4(3)}{7(7)}[/tex]
= [tex]\frac{12}{49}[/tex]
Since a middle school opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.
Answer: 1:13 or for every 10 games they will lose one game
Step-by-step explanation:
Three friends are comparing their weekly paychecks. Donald discovers that he earned one-third of Michael's paycheque, and $80 less than Jacob's paycheque. Together, the three friends earned $2920 in one week. How much did each friend earn?
Answer: Michael's paycheque = $ 1704
Donald's paycheque = $ 568
Jacob's paycheque = $ 648
Step-by-step explanation:
Let x = Michael's paycheque
Donald's paycheque = [tex]\dfrac13x[/tex]
Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]
Together, the three friends earned $2920 in one week.
[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]
Michael's paycheque = $ 1704
Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]
Jacob's paycheque = $ 568+80 = $ 648
Which side of DEF is the longest?
A. DE
B. EF
C. DF
D. Cannot be determined
[tex] \huge {\tt{Answer:}} [/tex]
A. DE
Option (A) DE side of the triangle DEF is the longest side.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.
The sum of the interior angles of a triangle is equal to 180°.
⇒ [tex]\angle D+\angle E+\angle F=180[/tex]
⇒ [tex]65+42+ \angle F=180[/tex]
⇒ [tex]\angle F=180-107[/tex]
⇒ [tex]\angle F=73[/tex]
The side corresponding to the ∠D is EF, ∠E is DF, ∠F is DE
The angle which is greater has the longest side.
⇒ [tex]\angle F > \angle D > \angle E[/tex]
⇒ [tex]DE > EF > DF[/tex]
Thus the side DE has the longest length.
Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.
Learn more about triangles here
https://brainly.com/question/14759217
#SPJ2
An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10
Answer: See explanation
Step-by-step explanation:
Second term = a + d = 28 ....... i
Fifth term = a + 4d = 52 ......... ii
Subtract equation I from ii
3d = 24
d = 24/3 = 8
d = common difference = 8
Since a + d = 28
a + 8 = 28
a = 28 - 8 = 20
First term = a = 20
u10 = a + (n-1)d
= a + (10-1)8
= 20 + (9 × 8)
= 20 + 72
= 92
The temperature is −3.4 degrees Celsius. The temperature goes down 7.9 by degrees. What is the new temperature? pls help me its due in 10
Answer:
-11.3 is the answer
Step-by-step explanation:
because -3.4-7.9= -11.3
sorry but the last answer is a bit glitched out
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
Match the number on the net with the appropriate vertex on the prism.
Answer:
1. D
2. A
3. H
4. C
5. G
Step-by-step explanation:
GIVING BRAINLIEST IM TIMEDDDD
Answer:its the 2nd one
Step-by-step explanation: i remeber because i took this quiz
Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]
Answer:
The answer is below
Step-by-step explanation:
Show that f(x) f(y) = f(x+y)
From trigonometric:
sin(x + y) = sinxcosy + cosxsiny
sin(x - y) = sinxcosy - cosxsiny
cos(x + y) = cosxcosy - sinxsiny
cos(x - y) = cosxcosy + sinxsiny
[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]
[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]
0.92 repeating as a fraction
(0.9222222222222222222........)
Answer:
0.9222222222222222/1
Step-by-step explanation:
Which equation is true?
Answer:
i think its the 3rd option
MATH PROBLEM SPLVE ASAP PLS
9514 1404 393
Answer:
(B) stretch & reflection
Step-by-step explanation:
The original function is multiplied by -1.7. This has a negative sign, so will cause the graph to be reflected across the x-axis. The magnitude is greater than 1, so the reflected function will be a stretch of the original.
Which triangle makes this statement true?
Answer:
Step-by-step explanation:
The question is kind of confusing but I think the answer is A.
Answer:
C is the correct answer
Step-by-step explanation:
I did this exact one and it was right I hope this helps! Have a good day! :)
Proof:
help need help ASAP
super hard? free brainly
Answer:
I think that is false, tell me if im wrong if you can
Answer:
Step-by-step explanation:
False I think.
I need help pleaseee):
Answer:
Step-by-step explanation:
HELP! WILL GIVE BRAINLY!!! Find the volume of a cylinder with height = 10ft and the diameter of the base circle is 12ft.
Answer:
About 1,130.4 Cubic Feet
(My previous answer was a mistake. It has now been corrected)
Step-by-step explanation:
The Volume of a cylinder = Height * Pi * Radius^2
The radius is half the diameter, so 12 ÷ 2 = 6
Pi rounded to the hundredth place is 3.14.
Volume = 10 * 3.14 * 6^2 = 1,130.4
Therefore the Volume is about 1,130.4 cubic feet.
Answer:
Exact Volume = 360pi cubic feet
Approximate Volume = 1130.4 cubic feet
The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.
===========================================================
Explanation:
The volume of a cylinder is found by the formula
V = pi*r^2*h
where,
pi = 3.14 approximatelyr = radius = 6 ft, since the radius is half the diameter.h = height = 10 ftSo,
V = pi*r^2*h
V = pi*6^2*10
V = pi*36*10
V = pi*360
V = 360pi ........... exact volume in terms of pi
V = 360*3.14
V = 1130.4 ......... approximate volume if you use pi = 3.14
The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).
Simplify.
Rewrite the expression in the form 6^n. 6^-6/6^-5=
Answer:
cacacc
Step-by-step explanation:
sorr
Answer:
the answer is 0.1666667
Helppppp, I don’t knowwww
Answer:
1 and 4 and 2
Step-by-step explanation:
What is another way of writing the following expression?
4 + 5 + 2
Answer:
2+4+5 or 5+4+2 it functions in all the ways Simce it is sum XD
A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *
Answer:
1000.4m
Step-by-step explanation:
Objects usually expand when the temperature is warmer
Each degree celsius higher, the bridge expands by .10m
If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m
1000m+0.4m=1000.4m
How do you solve -8 -x = x -4x
Answer:
hey there
x = 4
Step-by-step explanation:
Let's solve your equation step-by-step.
−8−x=x−4x
Step 1: Simplify both sides of the equation.
−8−x=x−4x
−8+−x=x+−4x
−x−8=(x+−4x)(Combine Like Terms)
−x−8=−3x
−x−8=−3x
Step 2: Add 3x to both sides.
−x−8+3x=−3x+3x
2x−8=0
Step 3: Add 8 to both sides.
2x−8+8=0+8
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
x= 4
have a good day!!!
Answer:
x= 4
Isolate the variable by dividing each side by factors that don't contain the variable.
solve the equation 3(x + 1) + 6 = 33.
Answer:
155
Step-by-step explanation:
The equation y+6=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
o y = 1/2x-3
Oy=}x+9
yafe- ར ་
y=3x+3
what is the standard form of (-2/3)x - 4
( slope intercept )
Answer:
m=0,b for -2/3 x-4
Step-by-step explanation:
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