Answer:
d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°
Step-by-step explanation:
m<ABF = 47° (given)
m<FBE = 83°
✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)
m<ABD + 47° + 83° = 180° (substitution)
m<ABD + 130° = 180°
Subtract 130 from each side
m<ABD = 180° - 130°
✅m<ABD = 50°
✍️m<GBC = m<ABF (vertical angles)
✅m<GBC = 47° (Substitution)
✍️m<EBC = m<ABD (Vertical angles)
✅m<EBC = 50° (substitution)
✍️m<DBG = m<FBE (vertical angles)
✅m<DBG = 83° (Substitution)
Find the perimeter of the parallelogram.
80 cm2
208 cm
63 cm
58 cm
Answer: 58cm
Step-by-step explanation: Just add all the sides of the parallelogram together. 16+16+13+13=32+26=58
Answer:
its 59 cm^^
Step-by-step explanation:
i hope i helped at all :)
You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of the can (radius and height) will use the least amount of material?(Hint: The lightest can will be the can with the smallest surface area.)
Answer:
[tex]Height = 12cm[/tex]
[tex]Radius = 6cm[/tex]
Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r
[tex]V = 432\pi[/tex]
Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:
[tex]V = \pi r^2h\\[/tex]
Substitute 432π for V
[tex]432\pi = \pi r^2h[/tex]
Divide through by π
[tex]432 = r^2h[/tex]
Make h the subject:
[tex]h = \frac{432}{r^2}[/tex]
Surface Area (A) of a cylinder is calculated as thus:
[tex]A=2\pi rh+2\pi r^2[/tex]
Substitute [tex]\frac{432}{r^2}[/tex] for h in [tex]A=2\pi rh+2\pi r^2[/tex]
[tex]A=2\pi r(\frac{432}{r^2})+2\pi r^2[/tex]
[tex]A=2\pi (\frac{432}{r})+2\pi r^2[/tex]
Factorize:
[tex]A=2\pi (\frac{432}{r} + r^2)[/tex]
To minimize, we have to differentiate both sides and set [tex]A' = 0[/tex]
[tex]A'=2\pi (-\frac{432}{r^2} + 2r)[/tex]
Set [tex]A' = 0[/tex]
[tex]0=2\pi (-\frac{432}{r^2} + 2r)[/tex]
Divide through by [tex]2\pi[/tex]
[tex]0= -\frac{432}{r^2} + 2r[/tex]
[tex]\frac{432}{r^2} = 2r[/tex]
Cross Multiply
[tex]2r * r^2 = 432[/tex]
[tex]2r^3 = 432[/tex]
Divide through by 2
[tex]r^3 = 216[/tex]
Take cube roots of both sides
[tex]r = \sqrt[3]{216}[/tex]
[tex]r = 6[/tex]
Recall that:
[tex]h = \frac{432}{r^2}[/tex]
[tex]h = \frac{432}{6^2}[/tex]
[tex]h = \frac{432}{36}[/tex]
[tex]h = 12[/tex]
Hence, the dimension that requires the least amount of material is when
[tex]Height = 12cm[/tex]
[tex]Radius = 6cm[/tex]
I WILL GIVE BRAINLIEST What is the value of the expression 0.5 squared? 0.125 0.25 0.52 1
Answer:
0.25
Step-by-step explanation:
0.5x 0.5= 0.25
Answer:
On edge, its 0.25. trust me I just finished the test.
Step-by-step explanation:
Mathematics what is 5,276 divided by 8,897
Answer:
0.593009
Step-by-step explanation:
Since the number is being divided by a larger number, you are going to get a decimal.
Dose this table represent a function?
What is (2n-9)-(2.4n+4)
Answer:
-0.4n-13
Step-by-step explanation:
Answer:
-0.4n-13
Step-by-step explanation:
What is C/a + 4 when a=2, and c= 10
Answer:
4 and 10/2 so actually 9
Step-by-step explanation:
Answer:
The answer is 9.
Step-by-step explanation:
You just need to substitute the variables, so:
10/2+4
= 9
I hope this helps!
The common multiples of 3 and 4 are: ____ And ____?
Answer:
1
Step-by-step explanation:
3: 1, 3
4: 1,2,4
So only one can work.
Hope this helps you!! :D
Answer:
1 & 12
Step-by-step explanation:
Help, if you don't know. Pls don't answer!! I need help quick!!!
(y1 - y2) / (x1 - x2) = slope
(-1 - 3) / (4 - 2)
-4 / 2
-2
Hope this helps! :)
HELP ME PLZZZZZZ PLZZZZ HURRY
Which percent is equivalent to 2 and StartFraction 5 over 6 EndFraction? 2.56% 2.8ModifyingAbove3 with bar% 256% 283.ModifyingAbove3 with bar%
Answer:
%Step-by-step explanation:
283.Modifying Above 3 with bar is the answer
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the cost of the necklace before tax?
Answer:
8.5 or 8.50
Step-by-step explanation:
None for now
"Not putting it here"
The cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.
What is percentage increase ?Percentage increase is the amount added to the initial value in the percentage part.
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%.
Let the cost of the necklace before tax is x dollars. Now, the 108% of the x is $9.18. Thus,
[tex]x\times\dfrac{100+8}{100}=9.18\\x=\dfrac{9.18\times100}{108}\\x=8.5[/tex]
Hence, the cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.
Learn more about the percentage increase here;
https://brainly.com/question/2085058
Calculate the following:-
- Adult humans have 2 to the power of 5 teeth. How many teeth will you have when you become an adult?
Answer: 32
Step-by-step explanation: 2 to the power of five is just basically 2 times 2 times 2 times 2 times 2. Calculate that out, and it would be 32.
Answer:
32 teeth
Step-by-step explanation:
Roughly what percentage of water on Earth is accessible by humans for drinking 50% 90% 1% 20%
Pls do this 10 points will mark brainliest pls I need help this is multiplying positive and negative integers
Vhich graph shows the solution of the inequality X+5 > 2?
Answer:
X>−3
Step-by-step explanation:
Subtract 5 from both sides.
X>2−5
Simplify 2-5 to -3
ANNNNND THE ANSWER IS
X>−3
The solution is, the value of the given inequality is : X>−3.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
the given inequality is:
X+5 > 2
Subtract 5 from both sides.
X+5- 5 > 2 - 5
X>2−5
Simplify,
2-5 = -3
so, we get,
AND THE ANSWER IS
X>−3
Hence, The solution is, the value of the given inequality is : X>−3.
To learn more on inequality click:
brainly.com/question/24853349
#SPJ7
Bob and Bill together earn $66. Bill earned $6 more than twice as much as
Bob. How much did each earn?
Answer:
I think its 144
Step-by-step explanation:
they both earn 66 now 66+6= 72 but it says twice as much so 72 × 2= 144
Answer: The answer is $20 and $46
Step-by-step explanation:
(6+2x)+x=66
6+3x=66
3x=60
X=20
2(20)+6= 46
Cupcakes can be placed in boxes that hold 12, 8, or 6 cakes when full. What is the least number of cupcakes a baker needs to bake so that he can package them in anyone of the three different size boxes without any remaining?
A . 144 cupcakes
b. 32 cupcakes
c. 24 cupcakes
d. 26 cupcakes
Answer:
Step-by-step explanation:
c
Answer: D
Step-by-step explanation: Don’t listen to the other guy, he’s just trying to get points
What is 50% of 16 gallons of gas
HELP ME PLEASE!!!!! Question 14
Answer:
yo this is for a quiz right
Help Anyone??
need it asap
7th grade math
tysm
Answer:
149.04
Step-by-step explanation:
after 64 percent off it is $138
then you ad 8% tax to $138
(which you can just put in a calculator)
Simplify 3(4x + 6) - 9x.
12 x + 18 - 9 x
3 x + 18
-15 x + 18
3 x + 6
Answer:
3x+18
Step-by-step explanation:
A rectangular backyard has an area of 1,728 square feet. If the width of the backyard is 48 feet, what is the length. Fill in the blank. The length of the backyard is _____ feet.
Answer:
36
Step-by-step explanation:
48x=1728
x=36
3. Ten more than a number is 28. Find the
number.
Answer: 18
Step-by-step explanation: you just minus ten from twenty eight.
What does an adverb describe? *
Answer:
an adverb describes a "verb" otherwise said as a doing word
Step-by-step explanation:
an adverb is meant to describe a doing word like run which is a verb
e.g.
she ran hastily
these adverbs usually end in LY but not all of them do
Answer:
Adjectives and Verbs.
Step-by-step explanation:
Hope it helps!
The Alden Middle School girls' soccer team won 80% of its games this season.If the team won 12 games,how many games did it play? Solve the problem using at least two different methods.
The answer fam is..... They played 15 games
10x-5=0 equation ,inverse operation,simplify,inverse operation,solution,check
Answer:
x=.5
Step-by-step explanation:
First, you need to isolate the variable term, so you have to move -5 over to the other side. Since it is subtraction on this side, you add 5 to both sides to cancel out the -5, and add it to the other side.
Now we have 10x=5. To solve for the variable, we have to divide by the number in the variable term. In this case, it is 10. 10/10 is 1, so now x is alone. We have to do the same thing on the other side. 5/10 is .5.
That's the answer! It's x=.5!
Joe has flown a total of 1,194 miles. Staci has flown 6 times as many miles as Joe.
Which equation can be used to find the number of miles Staci has flown?
A. 6 × 1,194 = m
B. 5 × 1,194 = m
C. (6 × 1,194) – 1,194 = m
D. (6 × 1,194) + 1,194 = m
Answer:
A
Step-by-step explanation:
if staci has flown 6 times as many miles as joe, you would mulitply the number of miles joe has flown by 6, or A
8 +2/3 (6x + 30) = 80
Answer:
X=13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
please help me wit this question
12/2
um belo dia abençoado
does anyone know this ?
Answer:
i = [tex]\sqrt{-1}[/tex]
Step-by-step explanation:
Answer:
is i equal to something? otherwise the answer is just 1
Step-by-step explanation: