Martha is making her favorite punch for the school dance. The directions call for 5 cups of water for every ½ cup of punch mix. What is the number of cups of water she will need for 6 cups of punch mix?
Answer:
60
Step-by-step explanation:
5water=1/2punch multiply by 12 to get 6 cups of punch so 5 x 12=60 and 1/2 x 12=6
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swing set is 31. 43°, and Emir is 11 feet from the ground. How many feet is the base of the tree from the swingset? Round your answer to the nearest foot. 15 feet 20 feet 18 feet 24 feet.
Tangent is the ratio of perpendicular to the base. The distance between the base of the tree and the swing set is 18 feet.
What is Tangent(Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that the height of the tree is 11 feet, while the angle of depression is 31.43°, therefore, the tangent can be written as,
[tex]\rm{Tangent(31.43^o) = \dfrac{AB}{BC}[/tex]
Where BC is the length between the base of the tree and the AB is the height of the tree.
[tex]\rm Tangent(31.43^o) = \dfrac{11}{BC}\\\\BC = 17.999 \approx 18[/tex]
Hence, the distance between the base of the tree and the swing set is 18 feet.
Learn more about Tangent (Tanθ):
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what is the product of 45 and 23
Answer:
1035
Step-by-step explanation:
The result of multiplying 45 with 23 is called the product. Thus, the product of 45 and 23 is as follows:
1035
To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.
[RevyBreeze]
Which is the coefficient of the expression 82 + 4 - 3x ?
Answer:
86 - 3x
Step-by-step explanation:
1- Calculate
An item is regularly priced at $75 It is now priced at a discount of 60% off the regular price. What is the price now?
Answer:
Price is $ 30
Step-by-step explanation:
Regular price = $75
Discount = 60%
First we find the 60% of 75
( 75 × 60 ) ÷ 100 = 45
Now this answer with regular price
75 - 45 = 30
MARK BRAINLIEST IF YOU UNDERSTAND
Answer:
$ 30
Step-by-step explanation:
Regular price ⇒ $ 75
Discount ⇒ 60% off the regular price
First let us find the discount that they will give.
Let us solve now.
75 × 60% = $45
And now let us find the new price of the item.
For that you have to subtract the discount by the regular price.
New price = Regular price - Discount
= $ 75 - $ 45
= $ 30
Hope this helps you :-)
Let me know if you have any other questions :)
Evaluate p=4 q =2 r=3 s= - 7
Answer:
26
Step-by-step explanation:
solution;
here,
=(2p+3q)(P-q)
=(2*4+3*2)(4-2)
=(8+6)(2)
=13*2
=26
Please help! I need this done very soon
Answer:
4) k = 3
5) h = 35
6) y = 3.5
Step-by-step explanation:
Hope it Helps
The value of x of the polygon
Answer:
x=97°
Step-by-step explanation:
(n-2)180°
(5-2)180°
3×180°=540°
total angle=540°
136+127+108+72+x=540°
Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother has collected 5 3/4 pounds of food. Their goal is to collect 14 1/2 pounds of food by the end of the month. How many more pounds of food do they still need to collect to reach their goal? Answers shown below. (Ignore the one I chose, I randomly guessed)
They will need 2 5/12 more pounds to reach their goal.
Sum and difference of fractionsGiven the following information as shown:
Amount Blake collected = 6 1/3 poundsAmount his brother collected = 5 3/4 poundsIf their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:
y =14 1/2 - (6 1/3 + 5 3/4)
y = 14 1/2 - (19/3 + 23/4)
y = 29/2 - (76+69/12)
y = 29/2 - (145/12)
y = 174-145/12
y = 29/12
y = 2 5/12
Hence they will need 2 5/12 more pounds to reach their goal.
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2. A rancher needs to cut a piece of rope into two
pieces. One piece must be three times the size of
the other piece. The rope is 48 cm long before it is
cut. How long will the shorter piece of rope be?
rights reserved.
Answer:
I think the answer is 3
Step-by-step explanation
16 x 3 = 48
Please help me.. It's urgent
Answer:
a) 2 4/15
b) -2/3
c) 15/15 which is equal to 1
d)-14/13
Someone please help me!!
Solve the prime factorization of these numbers using the factor tree method
1. 48 2. 356 3. 1 240
Answer:
2 x 2 x 3 x 2 x 2
2 x 2 x 89
2 x 2 x 2 x 5 x 31
Step-by-step explanation:
factor tree
what is the conjunction of you do that agian ill be very angry
Answer:
you do that again and I'll be very angryStep-by-step explanation:
hope it helps you <3Answer it please???
//
What is the sum of the infinite geometric series?
120+40+40/3+40/9+...
a. 136
b.156
c.180
d.184
Answer:
C that is the answer
Step-by-step explanation:
The formula for the sum of an infinite geometric series is S∞ = a1 / (1-r ).
A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm
were recorded for Washington, D.C. and are shown in the table below.
Washington, D.C.
Time Snow (inches)
(1 a.m. 1
3 a.m.
5
(6 a.m. (11)
(12 noon
33
(p.m,
36
Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greater rate of snowfall, in
inches per hour? Justify your answer.
Interval, 1 a.m. to 12 noon has the greater rate of snowfall, in inches per hour.
What is interval?First step
1am - 12 noon will gives us 11 hours
6am - 3pm will gives us 9 hours
Second step
Inches per hour for 11 hours
=33-1/11
=32/11
=2.91 inches per hour
Inches per hour for 9 hours
=36-11/9
=25/11
=2.27 inches per hour
Therefore based on the above analysis Interval, 1 a.m. to 12 noon has the greater rate of snowfall, in inches per hour.
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Ben Frank is an electrician who installs lighting fixtures. He charges (in dollars) his clients 15h + 40f, h, plus, 40, f where hhh is the number of hours worked and f is the number of fixtures installed.
How much does Ben Frank charge when he works 7 hours and installs 9 fixtures?
Answer:
15h+40f
15(7)+40(9)
105+360
465
465 fixtures
Step-by-step explanation:
Answer: 465 fixtures
Step-by-step explanation:15h+40f15(7)+
40(9)105+
360465= 465 fixtures
You have 36 apples to share with your friends. If each friend gets exactly 2 apples, which equation could you use to solve for the number of friends, n?
Answer:
15 i belive cause you would need that much people
The sum of three numbers is 99. The third number is 4 times the second. The first number is 9 more than the second.What are the
numbers?
Answer:
hope it helps
Step-by-step explanation:
hope it helps
giselle weighed two different samples of chemicals in her science class the first sample weighed 39.05 grams the second weighed 56.7 grams the she then mixed the two chemicals together what was the weight of the combined samples
Answer:
95.75
Step-by-step explanation:
39.05 + 56.7 = 95.75
How many solutions does the system of equations in the graph have?
Answer:go find you a solution of getting some b1tc1es
Step-by-step explanation:
The angle of depression from one mountain summit to another is 15.9°. If the two mountains differ in height by 430 metres, find the horizontal distance between the two summits, to the nearest centimetre.
Anyone at least 48 inches may ride the ferris wheel. Represent this statement with an inequality.
Answer:
x ≥ 48
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
What are similar triangles?
Similar triangles are two triangles that, while not sharing the same size, have the same proportions and angles measurements. Their corresponding angles are equal and the corresponding sides are in the same ratio.
Triangle PQR is similar to triangle STU because their angles are the same, and they share the same proportions in regards to their side lengths.
To find the unknown side of a similar triangle, set up two ratios equal to each other that represent the ratios of each triangle.
n is the hypothenuse of triangle PQR, so in your ratio, n should be in a fraction with 13, the hypothenuse length of triangle STU.
The fraction that n and 13 will be set equal to should also be the same side of the different triangle. (so either both of them are the shortest legs or both of them are the longest legs of their triangles)
Let's check each answer:
n is in the denominator and 13 is in the numerator. Great! 36 is the longest leg of triangle PQR and 12 is the longest leg in triangle STU, great! This choice is wrong, however. This is because both denominators and numerators should be set equal to their respective triangles. n is in triangle PQR, while 12 is in triangle STU, so they can not be set equal to each other.15 and 5 are both the shortest legs in their triangles, great! Unfortunately, 12 and n are both not hypothenuses, so this answer is incorrect. 15 and 5 are both the shortest legs in their respective triangles, but, again, n and 12 are not both hypothenuses.n is in the denominator and 13 is in the numerator. Great! 36 is the longest leg of triangle PQR and 12 is the longest leg in triangle STU, great! And, n is set equal to 36 (they are in the same triangle) and 13 is set equal to 12 (they are in the same triangle). This is the correct answer.*To check if your answer is correct, solve for n by cross multiplication and plug in your answer into the fraction. Both sides should simplify to the same fraction*
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I NEED HELP ASAP
Donovan has 4 pets. He wants to find out how many of the 400 seventh graders at his school also have exactly 4 pets. Which is the best method for him to use?
Step-by-step explanation:
help me find x and y please
Answer:
Step-by-step explanation:
4 angles in a quadrilateral (sorry if i spelled that wrong) add up to 360
So we have : 11x+4 + 5y +5 +5x + 13y - 5 = 360
Then, we simplify as 16x + 4 + 18y = 360
=> 16x + 18y = 356
Divide both side by 2
8x + 9y = 178
So, x is a multiple of 8 and y is a multiple of 9
Then if we keep replacing, you will eventually come to an answer of y = 10 and x = 11
Hope it helps :)
pls this is urgent!!!
For a fundraiser, 20 people each donated $82 to a university. How much money did the university receive?
Answer:$1640
Step-by-step explanation:82 x 20=$1640
Jenny, Demi, and Shaina buy a 21-inch gourmet sandwich and take it back to their apartment. Since
they have different appetites, they cut the sandwich so that Demi gets a piece that is double the size of
Jenny’s piece and Shaina gets a piece that is 1 inch longer than Jenny’s piece. Find the length of each
person’s piece of the sandwich.
Answer:
the length of inch is 20
Step-by-step explanation:
because 21 inch -20=1