Given :
Rachel is sitting in a tree 15 feet above the ground.
A minute ago, she spotted a skunk 40 feet from the base of the tree walking closer to her. Now, the skunk is 20 feet from the base of the tree.
The diagonal line from Rachel to the skunk is the distance between them.
To Find :
How much closer is the skunk to Rachel now than it was a minute ago.
Solution :
Initial distance,
[tex]d_i=\sqrt{15^2+40^2}\\\\d_i=42.72\ feet[/tex]
Final distance,
[tex]d_f=\sqrt{15^2+20^2}\\\\d_f=25\ feet[/tex]
Therefore, skunk is ( 42.72 - 25 ) = 17.72 feet closer to Rachel now than it was a minute ago.
Hence, this is the required solution.
an arc with measure less than 180 degrees
Answer:
A minor arc
Step-by-step explanation:
Find the inequality represented by the graph
Answer:
y >or equal to 1/3x+1
hope that can help
What is the next fraction in this sequence? Simplify your answer.
7 13 3 11
8, 16, 4, 16, ...
Submit
?
Answer:
12
Step-by-step explanation:
Consider the enlargement of a triangle that has a scale factor of 7.5. A small triangle has a base of 5 centimeters and height of 2 centimeters. A larger triangle has a base of b and height of a. Area Original = 1 2 (5)(2) = 5 cm2 What is the area of the enlarged triangle? cm2
Answer:
b=37.5cm
h=15cm
A=281.25
Step-by-step explanation:
The scale factor will represent how many times bigger the base and the height of the triangle are com that of the smaller triangle. So in order to find these transformations, we need to multiply the scale factor of 7.5 by both the base and the height.
b=7.5(5cm)=37.5cm
h=7.5(2cm)=15cm
so now we can find the area of the enlarged triangle by using the formula:
[tex]A_{triangle}=\frac{bh}{2}[/tex]
[tex]A=\frac{(37.5cm)(15cm)}{2}[/tex]
[tex]A=281.25 cm^{2}[/tex]
Answer:
281.25
Step-by-step explanation:
What is the value for x?
Btw plis add the explanation I would love to know the process of getting the answer for future references :) thx!
Answer:
x = [tex]\frac{11y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
7x - 3 = 11y + 5
7x = 11y + 8
x = [tex]\frac{11y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
5
Keisha borrowed $8000 at a rate of 9.5%, compounded semiannually. Assuming she makes no payments, how much will she owe after 9 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
Keisha will owe $18444.32 after 9 years
Step-by-step explanation:
Compound Interest
It occurs when the interest is added to the principal rather than paying it in.
It basically means paying interest over interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).
If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.
Please, note that since there are 2 compounding periods per year, n = 2, thus:
[tex]\displaystyle A=8000\left(1+{\frac {0.095}{2}}\right)^{2\cdot 9}[/tex]
Operating:
[tex]\displaystyle A=8000\left(1+0.0475\right)^{18}[/tex]
[tex]A = 8000\cdot 2.30554[/tex]
A = $18444.32
Keisha will owe $18444.32 after 9 years
The sun produces 3.3 x 10^ 32 joules of energy per day. A human produces 6.27 × 10^6 joules per day. How many times more energy does the sun produce than a human per day?
Answer:
The sum produces [tex]5.26*10^{25}[/tex] times more energy that a human.
Step-by-step explanation:
[tex]\frac{3.3*10^{32} }{6.27*10^{6} } \\= 5.26*10^{25}[/tex]
Please help! I'm under a time limit!!
Answer:
(4,3)
Step-by-step explanation:
x-1=1/2x+1 is 4
then you plug in 4 for x and get 3
therefore your answer is (4,3)
Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *
Answer:$.55
Step-by-step explanation:
An important thing to know is that a dozen is equal to 12.
12x= 6.60
/12 /12
x=.55
Answer:
0.55$
Step-by-step explanation:
Divide $6.60 by the 12 cupcakes
6.6 divided by 12 is 0.55
So each cupcake costs $0.55
Hope this helped you :)
I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
Coach De Leon purchases sports equipment. Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00. Part A: Use the drop downs to create an inequality that represent the situation. Let s represent the number of soccer balls and let b represent the number of basketballs. 18s+20b > 150 Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase? 4 basketballs and 6 soccer balls 5 basketballs and 2 soccer balls 2 basketballs and 7 soccer balls 6 basketballs and 5 soccer balls
Answer:
5 basketballs and 2 soccer balls
Step-by-step explanation:
5 times 20= 100
2 times 18= 36
equals 136
4 basketballs and 6 soccer balls- wrong-185
2 basketballs and 7 soccer balls-wrong-166
6 basketballs and 5 soccer balls- wrong- over 200
Answer:
The Inequality Equation is
20b + 18s <_ 150
5 Basketballs and 2 Soccer Balls
Step-by-step explanation:
Plz help!!!! It’s due today
Answer:
1. British colonies. i think im not sure sorry
The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate the volume and surface area of the lid of the spherical shaped bottle.
Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = [tex]\dfrac13\pi r^2 h[/tex]
Volume of lid [tex]=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3[/tex]
Surface area of cone = [tex]\pi r\sqrt{h^2+r^2}[/tex] [as lide has no base we don't include area of base.]
Surface area of lid = [tex](3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3[/tex]
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
determine a measure X for the indicated segment
Answer:
13.5
Step-by-step explanation:
By Geometric mean property:
[tex]6 \times x = {9}^{2} \\ \\ 6x = 81 \\ \\ x = \frac{81}{6} \\ \\ x = 13.5 \: [/tex]
Please help me!!!
Problem Situation:
Eric is adding water to a 60-gallon pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?
Inequality that represents this situation:
27≤12+6x
To solve the inequality, you can begin by solving the equation as shown.
Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.
Answer:
2.5 minutes
Step-by-step explanation:
I'm not really sure how to use the equation but this is how you do it:
There are 12 gallons already there and they want to get to 27 so he needs 15 more gallons. We know that it fills up 6 gallons a minute so to fill the 60 gallon pool it will take 10 minutes. 15 is a quarter of 60 so you divide 10 by 4. This gets you 2.5.
The number line which represents all of the solutions for the problem situation is Number line A.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
to solve an inequality:
Volume of the pool = 60-gallons
Water in the pool already = 12 gallons
Water left to fill the pool = 27 gallons
Water flow per minute = 6 gallons
Number of minutes it takes to fill the pool = x
The inequality:
27 ≤ 12 + 6x
subtract 12 from both sides
27 - 12 ≤ 6x
15 ≤ 6x
divide both sides by 6
x ≤ 15/6
x ≤ 2.5 minutes
Therefore, the given inequality has the solution x ≤ 2.5 minutes.
Read more on inequality:
brainly.com/question/14089846
#SPJ7
AB←→ intersects PQ←→ at point M;
Point C is on AB←→ ;
Point R is on PQ←→ ;
△CMR is a right triangle.
Which statement describes the relationship between AB←→ and PQ←→ ?
A.
AB←→ and PQ←→ are skew
B.
AB←→ and PQ←→ are collinear
C.
AB←→⊥PQ←→
D.
AB←→∥PQ←→
Answer:
(C). AB←→⊥PQ←→
Step-by-step explanation:
This is the only suitable answer to produce a triangle △CMR which is a right triangle.
When we will draw Line AB And PQ which they are intersecting And to produce a right triangle by taking two random points ( C on AB and P on PQ).
Then AB and PQ must be Perpendicular to each other, only then a triangle CMR will be right angled at M.
Between which 2 consecutive integers is the square root of 250 located?
Answer:
Between
15
and
16
Explanation:
15
2
=
225
<
250
<
256
=
16
2
So
15
=
√
225
<
√
250
<
√
256
=
16
In fact
√
250
=
[
15
;
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
1
,
4
,
3
,
3
,
4
,
1
,
30
]
=
15
+
1
1
+
1
4
+
1
3
+
1
3
+
1
4
+
1
1
+
1
30
+
...
≈
15.8113883
Step-by-step explanation:
pls mark me as a Brainliest
X+4/3=7/9?
Someone help me pls
Can someone please help me on this?
Answer:
For every one hour, there is 25 of the other side, so 1:25?
Step-by-step explanation:
Can someone help me it's similar triangles
Answer:
i think its 18 sorry if im wrong
Step-by-step explanation:
JY = 8.3
YL = 6.4
J=
Answer:
j would equal 4.5 your welcome
Answer:
4.5
Step-by-step explanation:
Evaluate when x = 2, y = 7 and z = 6: 4(x + y) —z send help?
Answer:
30
Step-by-step explanation:
x = 2, y = 7 and z = 6
so 4(x + y) —z = 4(2+7) - 6
= 4(9) - 6
= 36 -6
= 30
Answer:
C). 30Step-by-step explanation:
The answer is C
=30
Hope this helps!
The area of a trapezoid is 80 ft?. Its bases have lengths 26 ft and 14 ft. Find its height.
Plz HURRY
Answer it's 40 all you had to do was add 26 and 14 you get 40 then subtract from 80 then you find your height
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Add the height and width and you get 40 then take it from 40
Which of the following best describes the algebraic expression 10% +2?
O A. The sum of ten times a number and two. OB. The product of ten plus a number and two. O C. Ten times the sum of a number and two.
D. Ten times the quantity of a number plus two.
Answer:
D
Step-by-step explanation:
D because i perfect that
How do u write 2500 meters/ 15 seconds in a unit rate
(37x+9)+(32x+2) whats the answer
Answer:
69x+11
Step-by-step explanation:
A teachers chocolate is 60 ounces for $7.20. A students chocolate is 75 ounces for $8.25. Which one is
cheaper per ounce?
Answer:
75 ounces for $8.25
Step-by-step explanation:
divide the cost wiht the ounce to get the answer, the lowest one is the the answer
does 3/4x+x-5=10 + 2x have infinite solutions, one solution or no solutions
Answer:
x = 5; so basically one solution
Jose is raising money for a school trip by selling lollipops and packs of cookies. The price of each lollipop is $1 and the price of each pack of cookies is $2. How much money would Jose raise if he sells 12 lollipops and 13 packs of cookies? How much money would Jose raise if he sells ll lollipops and pp packs of cookies?
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
what is the relationship between and A and B
Answer:
Step-by-step explanation: