Answer:
The width of the prisim is equal to 2.23 feet.
Step-by-step explanation:
let l is length and b is width.
Length, l = 4b
The volume of the prism is 160 ft³.
The height of the prism is 8 ft.
The formula for the volume of a prism is given by :
[tex]V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft[/tex]
So, the width of the prisim is equal to 2.23 feet.
The height of the larger parallelogram, STRE, is 64. If the two parallelograms are similar, and the scale factor is 16, what is the height of parallelogram ANDK?
Answer:
The answer is 4
Step-by-step explanation:
I did the test
Answer: answer is 4 :)
Step-by-step explanation:
I know the selected answer is correct but I'm not too sure how to get that answer.
Could someone please explain.
[tex]\tt{ Hey \: there , \: Mr.Panda \: ! } [/tex] ;)
♨[tex] \large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}: [/tex]
⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle ( [tex] \theta \: , \alpha \: ,\beta [/tex] ) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
☄ [tex] \large{ \tt{REMEMBER}} : [/tex]
[tex] \bf{ \sin \theta = \frac{opposite}{hypotenuse} = \frac{perpendicular}{hypotenuse} }[/tex][tex]\bf{ \cos\theta = \frac{adjacent}{hypotenuse} = \frac{base}{hypotenuse} }[/tex][tex] \bf{ \tan \theta = \frac{opposite}{adjacent} = \frac{perpendicular}{base} }[/tex]In the above cases , [tex] \theta[/tex] is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ [tex] \large{ \tt{GIVEN}} : [/tex]
Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16✧ [tex] \large{ \tt{TO \: FIND} : }[/tex]
Value of tan [tex] \theta[/tex]✎ [tex] \large{ \tt{SOLUTION}} : [/tex]
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃ [tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex] [ Pythagoras theorem ]
[tex] \large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
[tex] \large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 324 - 256}}[/tex]
[tex] \large{⇢ \sf{ {p}^{2} = 68}}[/tex]
[tex] \large{⇢ \sf{p = \sqrt{68}}} [/tex]
[tex] \large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}[/tex]
Okey, We found out the perpendicular i.e [tex] \tt{2 \sqrt{17}} [/tex] . Now , We know :
❊ [tex] \large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }[/tex]
[tex] \large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}} [/tex]
[tex] \large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}[/tex]
[tex] \large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}} [/tex]
⟿ [tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}} [/tex]
۵ Yay! We're done!
♕ [tex] \large\tt{RULE \: OF \:SUCCESS }: [/tex]
Never lose hope & keep on working ! ✔ツ Hope I helped!
☃ Have a wonderful day / evening! ☼
# StayInAndExplore ☂
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Answer:
√(17)/8
Step-by-step explanation:
We are given with hypotenuse and base. We can have any ratio related to it, such as secant.
secA = hypotenuse/base
secA = 18/16 = 9/8
sec²A = 81/64
Using sec²A - 1 = tan²A
=> 81/64 - 1 = tan²A
=> 17/64 = tan²A
=> √(17)/8 = tanA
______________________
Using cosine of angle A.
cosA = base/hypotenuse
cos²A = (16/18) = (8/9)² = 64/81
sin²A = 1 - cos²A = 1 - 64/81 = 17/81
Hence,
tanA = √(tan²A) = √(sin²A/cos²A) = √((17/81)/(64/81)) = √(17)/8
This looks complex, either go with the 1st or one Or directly find the value of height using Pythagoras theorem,
18² = 16² + height²
√17 = height
tanA = height/base = √17/8
jorge scored 4 out of 5 on a test. jane scored 8 out of 10 on a test. did Jorge and jane get equivalent scores
Find the 18th term of the following Arithmetic Sequence
- 2.3, -1.1, 0.1, 1.3........
Answer this question for me
Evaluate. Write your answer as a fraction in simplest form.
Answer:
6/21
Step-by-step explanation:
2/3 x 2/3 x 2/3
6/21
You have have a bag of marbles (3 purple, 5 green, and 4
yellow)
Write your probability in fraction form-no need to reduce
1a) What is the Plyellow marble)=
1b) What is the P(purple marble)=
1c) What is the Plyellow marble "and" purple marble)
1a) 4/12, 1b) 3/12, 1c) 12/12
1a) 4/100, 1b) 3/100, 1c) 12/100
1a) 4/12, 1b) 3/12, 1c) 12/144
1a) 4, 1b) 3, 1c) 12
Answer:
4/12 = yellow
3/12 = purple
12/144 = yellow and purple
Step-by-step explanation:
the first two are pretty self explanitory. The last one requires you to multiply the answers of the first two together. Make sure you multiply both the top and the bottom (don't use common denominator here)
Answer:
The answer to this is the 3rd choice which is 1a) 4/12, 1b) 3/12, 1c) 12/144.
Step-by-step explanation:
This is pretty simple. To identify the probability of the yellow marbles, you can find the amount of yellow marbles and the total amount of marbles. You take it as a fraction which would be 4/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
Probability of yellow marbles : 4/12
To identify the probability of the yellow marbles, you can find the amount of purple marbles and the total amount of marbles. You take it as a fraction which would be 3/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of purple marbles : 3 purple
Probability of purple marbles : 3/12
To identify the probability of both the yellow and purple marbles, you can find the amount of yellow and purple marbles along with the total amount of marbles. Since we know this from the work above, you just need to multiply both probabilities. You take it as a fraction which would be 12/144.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
The amount of purple marbles : 3 purple
Probability of yellow marbles : 4/12
Probability of purple marbles : 3/12
Probability of both marbles : 12/144
Add 8 and 7, and then multiply by 2
Answer:22
Step-by-step explanation:
It’s like saying 8+7x2 and it’s 22
Answer:
30
Step-by-step explanation:
(8 + 7) * 2
(15) * 2
30
Hope this helps!
+
9
y
Find
x
when
y
=
6
and
R
=
7
Answer:
15 2/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = -15.6
Marks mailbox has three more edges than vertices. What type of prism is Marks mailbox.
Answer:
njuvcjgxyrsdfygjhkl
Step-by-step explanation:
The sides of a triangle are 16, 21,
and 35. Determine if the triangle is
an acute, obtuse, or right triangle.
A. acute
B. right
C. obtuse
Answer:
A Acute
Step-by-step explanation:
cause a acute is between 0 and 90 degrees
If Jaliya has 5 paintings and paints 6 more how much does she have now?
Answer:
11
Step-by-step explanation:
5+6
PLEASE HELP ME I NEED THE ANSWER I WILL MARK YOU AS BRAINLIEST
Answer:
15%
Step-by-step explanation:
use the graph of g(x)=3 √x to help you explain why there is only one solution for every cube root equation of the form y=3 √x+a in which a is a real number
Answer:
G(x)=2x32+c
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answer:
Given:
area of 1 equilateral triangle =500cm²
a.there are 2 triangular faces.
b.total area of triangular bases =2×500cm²=1000cm²
how do I do this? I'm confused.
Step-by-step explanation:
[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]
ose has 50 coins in a jar. 20% are nickels, 40% are quarters, and the rest are pennies. (6.RP.3c-Benchmark #3)
Part A: What percentage are pennies?
Answer here:
Part B: How many of each coin are there?
Nickels : Answer here:
Quarters: Answer here:
Pennies: Answer here:
SHOW YOUR WORK HERE
Answer:
Part A: 40% are pennies
Part B: NIckels 10, Quarters 20, Pennis 20
Answer:
Part A: pennies are 40% of the jar
Part B :
Nickels: 10
Quarters: 20
Pennies: 20
Step-by-step explanation:
Part A: since the nickels and quarters make up 60% of the jar the pennies make up the other 40%.
Part B:
Nickels: 20 percent of 50 (the amount of coins in the jar) is 10
Quarters & Pennies (since they have the same percentage): 40 percent of 50 is 20
I really need help you’ll get 35 points if u get it right
Answer:
1/3
Step-by-step explanation:
Combine the xs
Answer:
[tex]\frac{1}{3} x + \frac{1}{2}[/tex]
Step-by-step explanation:
The following expression is equivalent to
[tex]\frac{1}{3} x + \frac{1}{2}[/tex]
There are 12 pieces of fruit in a bowl. Seven of the pieces are apples and two are peaches. What is the probability that a randomly selected piece of fruit is not an apple or peach? Express your answer as a percent rounded to the nearest whole percent.
10%
10%
17%
17%
25%
25%
83%
Answer:
25%
Step-by-step explanation:
7 apples + 2 peaches = 9
12-9=3
3/12 = 25%
Um who else is in love with Kenma Kozume?
Answer:
YESSSSS I AM APART OF THE KENMA CULT
Step-by-step explanation:
need help pls asap !!!!!!!!!
Answer:
x = 5 cm
Step-by-step explanation:
Big rectangle
Length = 30 cm
Width = 12.5 cm
Length : width = 30 cm : 12.5 cm
Small rectangle
Length = 12 cm
Width = x cm
Length : width = 12 cm : x cm
Equate the ratios
30 cm : 12.5 cm = 12 cm : x cm
30/12.5 = 12/x
Cross product
30 * x = 12.5 * 12
30x = 150
x = 150/30
x = 5 cm
solve ,( √16 + √36 ). + 2^0
ASAP
Answer:
11
Step-by-step explanation:
√4² + √6² + 1
4 + 6 + 1
11..
Mark Runzun as brainliest as my id will get deleted soon
A train travels at a constant speed of 80 miles per hour. How many miles will the train travel in 15 minutes?
Answer:
The answer is 20 miles
Step-by-step explanation:
15 minutes is 1 fourth of an hour so you divide 80 by 4 to get 20
answer.
20 miles 4÷ 80 = 20
Is the following relation a function?
O Yes
O No
HELPPP!!!
Answer:
yes the following relation is a function
Order the following numbers from largest to smallest: -7,8,0,-14, -4,-2, 1
Answer: -14, -7, -4, -2, 0, 1, 8
Step-by-step explanation:
Answer:
-14, -7, -4, -2, 0, 1, 8
Step-by-step explanation:
Please help! Will give branliest for correct answer !
God Bless uu!!
Answer:
Solution given:.
area of traingle EFG=1/2b×h=1/2×7×6=21cm²
area of rectangle ABCD=l×b=(20+9)×7=203cm²
area of rectangle BHIJ=l×b=9×11=99cm²
Total area =21+203+99=323cm² is a required answer
Can someone help me ASAP!!
9514 1404 393
Answer:
(a) No, because it will not go through the origin
Step-by-step explanation:
The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.
The absolute value of 5/4
A: 4/5
B: 5/4
C: -4/5
D: -5/4
Answer:
THE ANSWER IS OPTION ( B ) 5/4BC is tanget to the circle centered at A with a radius of 3. What is the length of CD?
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
Answer:
The length of the radius of circle is 16.25 cm
Step-by-step explanation:
we know that
If CD is tangent to circle A at point D
then
the segment CD is perpendicular to the radius AD
and
ACD is a right triangle
so
Applying the Pythagorean Theorem
we have
substitute
solve for r
Liz is exploring the coral reef at 92 feet below sea level and Jim is hiking 91 feet above sea level. Does this situation represent an additive inverse?
Answer: 183 is corecct
Step-by-step explanation: