Find the length of the side a.
Give your answer rounded to 1 DP.
Answer:
[tex] \frac{10}{5} = \frac{x}{5} \\ 5x = 50 \\ x = 10[/tex]
Answer:
x=5.8m after converting into 1 decimal place
Step-by-step explanation:
A road toll is 3¢ for 5 kilometers. How much for 125 kilometers?
Answer:i think it would be 75 cents
Step-by-step explanation:
125 divided by 5 and you get 25, then you fo 25 times 3
Answer:
75 cents
Step-by-step explanation:
x= 5 kilometers
y= 3 cents
y/x= rate of change
3/5= 0.6
125 kilometers is the x variable so y= 0.6(125)
y= 75
there are 320 students
36 more boys than girls
work out the fraction of boys to girls
Answer:
89 boys to 71 girls, 89:71, or 89/71
Step-by-step explanation:
x+x+36=320
2x+36=320
2x=284
x=142
This means that there are 142 girls.
142+36=178 boys
Simplify the fraction by dividing both numbers by two.
Jada walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 12 gallons of water. Five minutes later, the tank contains 10 gallons of water.
Type your answers in the blanks below.
At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.
How many more minutes will it take for the tank to drain completely?
________minutes
How many minutes before Jada arrived was the water take completely full?
_________ minutes
Answer:
A) -2/5 gal/min
B) 25 minutes
C) 7.5 minutes
Step-by-step explanation:
A) We are told that the tank contains 12 gallons of water when Jada first sees it.
5 minutes later, it loses two gallons to become 10 gallons.
Thus, rate at which the amount of water in the tank changing = -2/5 gal/min
B) After 5 minutes it contains 10 gallons. Since it drains at 2/5 gal/min, let us say the time to finish draining all is x, thus;
2/5 • x = 10
x = 10 × 5/2
x = 25 minutes
C) When full, it can hold up to 15 gallons. This is 3 more than the 12 she saw when she arrived.
Thus;
2/5 • y = 3
y = 5 × 3/2
y = 7.5 minutes
can someone help me please the problems are above i think or below whatever way they show up for people who help me
Answer
a. The volume is multiplied by 4
b. The volume is doubled
Explanation
a. The volume of a cone with radius r and height h is [tex]\pi r^2 h/3[/tex]. If the radius is doubled, the new volume will be [tex]\pi (2r)^2h/3[/tex], which is equal to [tex]4\pi r^2h/3[/tex]. This means that the volume is multiplied by 4.
b. The volume of a cone with radius r and height h is [tex]\pi r^2 h/3[/tex]. If the height is doubled, the new volume will be [tex]\pi r^2(2h)/3[/tex], which is equal to [tex]2\pi r^2 h/3[/tex]. This means that the volume is multiplied by 2.
Which phrase describes the algebraic expression 5 t minus 2? i need help
5t-2
i think this is the answer, hope this helped! :T
Find the volume of a pyramid with a square base, where the perimeter of the base is 19.9 in and the height of the pyramid is 14.3 in Round your answer to the nearest tenth of a cubic inch.
Answer:
118.0 in^3
Step-by-step explanation:
i'm doing math and i need a bit of help
A mirror is placed on the ground 20 feet away from the base of a tree. A 6 foot tall person stands 4 feet past the mirror and can just see the top of the tree in the mirror. How tall
is the tree?
X
6 feet
4 feet
20 feet
Answer:
,4 feet is the height of the tree
Answer:
4 feetStep-by-step explanation:
#CARRY ON LEARNINGThe solar array panels on the outside of the International Space Station are about 240 feet long by 40 feet wide. What is the area of the top face of one solar array panel? Show your work, including the formula used to solve the problem.
Answer:
Area cover by solar panel to face = 9,600 feet²
Step-by-step explanation:
Given:
Length of Solar panels = 240 feet
Width of Solar panels = 40 feet
Find:
Area cover by solar panel to face
Computation:
Area of rectangle = Length × Width
Area cover by solar panel to face = Length of Solar panels × Width of Solar panels
Area cover by solar panel to face = 240 × 40
Area cover by solar panel to face = 9,600 feet²
Answer:
Area cover by solar panel to face = 9,600 feet², The panels are about 340 feet Long, and 40 feet Wide. The area of this rectangle is a Length x Width.
Step-by-step explanation:
I don't really know if this helps, but If you use it change some words since this is what I wrote, or because we might have the same school districts, I don't want any trouble.. But if you need help understanding a bit more, ask me! ^.^
If this does help: Your welcome, bubs <3
A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle
with the ground. How far up the building will it reach? Round your answer
to three decimal places.
Answer:
7.193 ft
Step-by-step explanation:
|\
| \
| \
| \
h | \ 10 ft
| \
| \
| 46° \
---------------------
For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.
sin A = opp/hyp
sin 46° = h/10
h = 10 sin 46°
h = 7.193
Answer: 7.193 ft
Solve for x in the equation below. (x – 2) = –14(x – 8) Select the correct answer.
Answer:
x=7.6
Step-by-step explanation:
(x-2)= -14x+112
x= -14x + 114
15x= 114
15 15
x=7.6
A. complementary
B. supplementary
C. vertical
D. no relationship
Answer: a - complementary (im not completly sure tho)
Step-by-step explanation: a complementary is either of two angles whose sum is 90°
By which integer 20 must be divided to get the quotient -20?
Answer:
-1
Step-by-step explanation:
20 / -1 = -20
given one angle 46 degrees of a triangle how do you solve for x
Answer:
Is it a right triangle?
If it is, the angle you are looking for is 44 degrees
Step-by-step explanation:
5. The lengths of the legs of a right triangle are 4.5 inches and 6 inches. What is the length of the hypotenuse?
Answer:
The hypotenuse is (root) 84.25
Step-by-step explanation:
4.5^2 + 6^2 = x^2 (hypotenuse)
20.25 + 36 = 84.25
x^2 = 84.25
x = (root) 84.25 or 9.1787...
Select all the correct answers.
Which of these statements about algebra are true?
what are the statements?
Percentages and is
An article costing GH 2000.00 is sold at a
profit of 60%. Calculate the selling price
of the article.
Answer:
GH 5000
Step-by-step explanation:
Given data
Cost price= GH 2000.00
Percent profit= 60%
Sales price =???
The sale price can be found as
% profit= sale-cost/sale*100
60= sale-2000/sale*100
60= 100*sale-200000//sale
60*sale= 100sale-200000
1000sale-60sale= 200000
40sale= 200000
sale= 200000/40
sale= 5000
Hence the sales price = GH 5000
what is the radius of the cone?
Answer:
r = 6 in
Step-by-step explanation:
[tex]V = \pi r^{2} \frac{h}{3}[/tex] = [tex]216\pi[/tex]
r²h/3 = 216
r² (18/3) = 6 r² = 216
r² = 216/6 = 36
r = 6
Given point A (3, 8) and point B (-5, 1). Find the following: a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points) b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points) c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answer:
Mid point:
[tex] = ( \frac{3 + - 5}{2} , \: \frac{1 + 8}{2} ) \\ = ( - 1, \: 4.5)[/tex]
distance:
[tex] = \sqrt{ {( - 5 - 3)}^{2} + {(1 - 8)}^{2} } \\ = \sqrt{64 + 49} \\ = \sqrt{113} \\ = 10.6 \: units[/tex]
slope:
[tex] = \frac{1 - 8}{ - 5 - 3} \\ = \frac{ - 7}{ - 8} \\ = \frac{7}{8} [/tex]
the sum of 1/2 , 1/4 and 2/5 as a mixed number and in it's simplest form
Myra combined the like terms in the algebraic expression correctly. Which statement correctly describes what Myra did?
8 x squared + 7 minus 2 x squared + x
Answer:
The answer would be the first one, combining 8 and -2
Step-by-step explanation:
This is because the 2 like terms are 8x^2 and -2x^2. You can get this by looking in the problem. There are 2 terms with x^2 which means we have to combine them. One of them is 8x^2 (the 1st one) and the other is -2x^2 (since it says 7-2x^2)
If you combine these you will get 6x^2 [8+(-2)=6]
Answer:
the answer is A on edg
Step-by-step explanation:
good luck
HELP. Please! PLEASE HELP. what is the answer to this.
Answer:
72 square inches
Step-by-step explanation:
The surface area is the sum of all the sides' areas.
**I am assuming the pyramid is a square pyramid based on observation.
There is one 4 by 4 square: area = [tex]4^2=16[/tex]
There are 4 congruent triangles with height 7 and base 4: area of a single triangle = 1/2 * b * h; [tex]\frac{7*4}{2}=14[/tex]
14 * 4 = 56
Add 56 and 16 = 72
Answer:
72 square inches
Step-by-step explanation:
The surface area is the sum of all the sides' areas.
**I am assuming the pyramid is a square pyramid based on observation.
There is one 4 by 4 square: area =
There are 4 congruent triangles with height 7 and base 4: area of a single triangle = 1/2 * b * h;
14 * 4 = 56
Add 56 and 16 = 72
Step-by-step explanation:
Find an explicit formula for the geometric sequence below.
Answer:
see explanation
Step-by-step explanation:
The nth term ( explicit formula) of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{4}{3} }{-2}[/tex] = - [tex]\frac{2}{3}[/tex] , then
[tex]a_{n}[/tex] = - 2 [tex](-\frac{2}{3}) ^{n-1}[/tex] ← explicit formula
Answer:
Step-by-step explanation:
The formula for an explicit geometric formula (as opposed to a recursive one) is
[tex]a_n=a_1(r)^{n-1}[/tex] where a(n) is representative of the position of a number in the sequence, a(1) is the first number in the sequence, and r is the common ratio. The common ratio is the same number that must be either multiplied in or divided out to get to the next number in the term. Notice that the top numbers in our sequence are doubling which implies we are multiplying the top numbers by -2, and the bottom numbers are going up by multiples of 3. So our common ratio is -2/3. Try it and see:
[tex]-2(-\frac{2}{3})=\frac{4}{3}[/tex] and
[tex]\frac{4}{3}(-\frac{2}{3})=-\frac{8}{9}[/tex] etc.
Therefore, the explicit geometric formula for this sequence is
[tex]a_n=-2(-\frac{2}{3})^{n-1[/tex]
You can use this formula to find any number in the sequence; for example, if you wanted to know the 100th number in this sequence, simply replace n with 100 and do the math. That's what an explicit formula is used for.
What is the circumference of this circle?
r= 2 km
1)) 15.25 km
12.56 km
)) 18.16 km
()) 10.14 km
Answer:
12.56km
Step-by-step explanation:
Circumference of circle=2pi r
Set pi=3.14
2xpix2=12.56km
Which action would REDUCE the amount of money in Kendra’s checking account today?
Answer:
umm where is question?
Step-by-step explanation:
MARKMEASBRAINLISTPLS
find the length HELP PLSSS
Elsa rented a movie. She started the movie at 5:43 PM, and it was 2 hours 44 minutes long. When did the movie end?
Answer:
8:27 p.m.
Step-by-step explanation:
5:43 + 2:44
~~~
43+44= 87
87-60= 27
~~~
5+2= 7
7+1 (from the subtracted 60)= 8
~~~
8:27 p.m.
Hope this helps! Have a nice day :)
Choose the correct center and radius for the circle with the equation x2 + (y − 8)2 = 49. A. center (0, 8); radius 49 B. center (8, 0); radius 7 C. center (0, −8); radius 7 D. center (0, 8); radius 7
Answer:
D
Step-by-step explanation:
the center is (0,8)
(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))
the radius is 7 (or √49)
You buy a video game and pay for it with a $50 bill. Write an expression that can be used to find out how much change you should receive.
Answer:
The answer is given below.
Step-by-step explanation:
Let us assume the cost of the video game be x
There should be two chances
The first one is
that the cost of the video game should be equivalent to the amount given
SO
The return is $0
The second one is
When the cost of the video game is less than the amount you pay
SO, the return change is
= $50 - x