Answer:
the answer is c
Step-by-step explanation:
when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.
A 14 foot long ramp is being built to access a front door in a house. The door is 5 feet above the ground. How far away from the base of the house must the ramp be placed? What angle will the ramp make with the ground?
Answer:
The ramp must be placed 13.08 feet from the base of the house.
The angle the ramp will make with the ground is 20.92°.
Step-by-step explanation:
An illustrative diagram for the scenario is shown below.
In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.
To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.
The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"
In the diagram, the hypotenuse is r
∴ r² = d² + x²
r = 14 ft
d = 5 ft
∴ 14² = 5² + x²
196 = 25 + x²
Then, x² = 196 - 25
x² = 171
x = √171
x = 13.08
Hence, the ramp must be placed 13.08 feet from the base of the house.
Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.
From the formula
Sinθ = Opposite / Hypotenuse
In the diagram, opposite = d = 5ft
and Hypotenuse = r = 14ft
∴ Sinθ = 5ft / 14ft
Sinθ = 0.3571
∴ θ = Sin⁻¹(0.3571)
θ = 20.92°
Hence, the angle the ramp will make with the ground is 20.92°.
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.
Answer:
Yes my friend is correct
Step-by-step explanation:
You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .
This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line
Glide reflection is known as an opposite isometry of the Euclidean plane
Glide reflection is a single operation that involves a reflection over a line and followed by a translation.
Your friend's claim is correct.
From the definition, we can deduce that glide reflection consists of:
1 reflection1 translationThis means that: 1 translation and 2 reflections is not a glide reflection
Hence, your friend's claim is correct.
Read more about glide reflection at:
https://brainly.com/question/2975847
What is 3x-4y=10 on a graph
Answer:
Step-by-step explanation:
(do not round the answer)what is
A. 3.48g+8.62=29.37
Answer:
The answer is 5.9626436782
Consider the line y = x+4.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
Find the equation of the line that is parallel to this line and passes through the point (-8, 6).
All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
Can someone help me with this??!!
Explain the difference between -34 and (-3)4, and evaluate each power.
Answer:
68
Step-by-step explanation:
the brackets make the 3 positive
Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
anyone know the answers for either one?
Answer:
nah
Step-by-step explanation:
but search up a tutorial that helps me
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q- 2)
Choose 1 answer:
Find the value of 4x-6y when x=3 and y=-2
Answer:24
Step-by-step explanation: 4(3)= 12. -6(-2)= 12 Add them, equals 24
Solve for p: 16p + 24 = 48
hi
16p +24 = 48
16p = 48-24
16p = 24
p = 24/16
P = 8*3 /8*2
p = 3/2
Answer:
3/2
Step-by-step explanation:
First move 24 to the other side. Therefore, you subtract 24 from 48 (48-24). You’re left with 16p= 48-24. That is 16p=24. Now we are trying to find p so we’re going to divide both sides by the coefficient of p which is 16. So, p= 24/16. Both 24 and 16 are multiples of 8 so you can simplify to p=3/2. Hope you understand!
Please help me the picture is above, I’ll mark as brainliest.
Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings equally how much did each girl receive
Answer: Each girl will receive $18.75.
Step-by-step explanation:
Given: Two girls babysat three children for five hours.
Hourly pay for each child = $2.50
Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]
Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]
So, the amount received by each girl = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]
[tex]=\dfrac{37.5}{2}=\$18.75[/tex]
Hence, each girl will receive $18.75.
Mr. Ortiz took his friends out to dinner last night and their subtotal was $88.24.
If the sales tax is 5% and if he plans to leave a 20% tip after the tax is added, how much did Mr. Ortiz spend total on dinner?
Answer:
$111.18
Step-by-step explanation:
Dinner is $88.24
Tax is (.05)$88.24 = $4.41
20% after tax added (.20)92.65 = $18.53
total dinner cost is $111.18
a scaled drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 210 yards long. what is the width of the actual park in yards
Answer:
I think the width would be 150 yd
Step-by-step explanation:
just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side
Arrange the following from greatest to least (integers)
3,7,-15,9
Answer:
9 , 7, 3, -15
Step-by-step explanation:
the bigger the number before the zero the lesser value it has and any number after the zero has more value
4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
2x + 3 = 20
4
10
C.
d.
- 4x = -24
e.
2(x – 4) = 10
-0.5x + 1.1 = -2.9
f.
Answer:
A.) x / 3 = 12 ----> x = 12(3) ----> x = 36
B.) 2x + 3 = 20 ----> 2x = 17 ----> x = 17/2
C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2
D.) -4x = -24 ----> x = -24/-4 ----> x = 6
E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9
F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8
Solve this problem 48-2(8+2)
Olympi
During the 1996 Summer Olympics in Atlanta, Georgia
the American athlete Michael Johnson set an
and world record in the men's 200-meter run. He finishe
the race in 19.32 seconds, breaking the previous Olympi
record of 19.75 seconds. By how much did Micha
Johnson break the previous Olympic record?
Answer: he broke the record by 0.43 seconds
question in pic. please help!
Answer: 1, 3, and 4 can form triangles. The rest can not.
Step-by-step explanation:
on triangles 1, 3, and 4, the 2 smaller sides added together are greater than the longer side.
answer this question
Answer:
a = p * q
b = p * s + q * r
c = r * s
Step-by-step explanation:
In the trinomial ax² + bx + c
a is the coefficient of x²
b is the coefficient of x
c is the numerical term
∵ The trinomial is ax² + bx + c
∵ Its factors are (px + r) and (qx + s)
∴ ax² + bx + c = (px + r)(qx + s)
∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)
∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs
∴ ax² + bx + c = pqx² + (ps + qr)x + rs
→ By comparing the two sides
∵ ax² = pqx² ⇒ divide both sides by x²
∴ a = pq
∵ bx = (ps + qr)x ⇒ Divide both sides by x
∴ b = ps + qr
∴ c = rs
∴ a = p * q
∴ b = p * s + q * r
∴ c = r * s
A student ate 3/20 of all the candy and another 1.2 lb. Another student ate 3/5 of the candy and the remaining 0.3 lb. What was the total weight of the candy they ate?
Answer:
x = 6 lb
Step-by-step explanation:
Let
Total weight of the candy = x
3/20x + 1.2 lb + 3/5x + 0.3 lb = x
3/20x + 3/5x + 1.5 lb = x
3x+12x/20 + 1.5 lb = x
15/20x + 1.5 = x
1.5 = x - 15/20x
1.5 =20x -15x /20
1.5 = 5/20x
1.5 = 1/4x
x = 1.5 ÷ 1/4
= 1.5 × 4/1
= 6
x = 6 lb
HELP!! ANSWER FIND THE DOMAIN AND RANGE
Answer:
The 3rd option
Step-by-step explanation:
Lmk if you need me to explain
(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?
A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.
Answer:
A.
Step-by-step explanation:
For square one, the dark part added up= 1/4 of the whole big square.
For square 2. the colored in part= 1/4 of the whole big square.
For square 3. The colored part = 1/4 of the whole big square.
Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.
For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.
THE ANSWER IS A THOUGH.
A 7 inch candle burns at a rate of 2 inches per hour. Which equation represents the
relationship between y, the height of the candle, and x, the number of hours the
candle burns?
Answer:
b
Step-by-step explanation:
V = r2h what is the equation for h?
A woman goes to macy's and wants to purchase the following items: A sweater for $19.99, a belt for $29.99 and a pair of earrings for $79.99. How much is her total bill? (assume no tax )
Answer:
129.97
Step-by-step explanation:
19.99+29.99+79.99=129.97
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. The fuel gauge shows there and 15 litres left in the tank. How many more miles can the car travel before it runs out of petrol?
Answer:
Miles= 120
Step-by-step explanation:
Giving the following information:
A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters.
First, we need to calculate the miles per liter:
Miles per litre= 480 / 60
Miles per litre= 8 miles
Now, the miles that can be driven with 15 liters:
Miles= 15*8
Miles= 120