Answer:
Natalie is 15
Fred is 24
Step-by-step explanation:
You would first create equations to represent the problem. You would then solve for a variable (I chose to solve for y). I subtracted each equation from each other which helped me isolate y, which equaled 15. I then substituted y for 15 which allowed me to isolate x, which gave me 24.
(the equations)
x + y = 39
x + 3y = 69
(solving for y)
x + 3y = 69 - x + y = 39
x-x +3y -y = 69 - 39
2y = 30
y = 15
(solving for x)
x + 15 = 39
x +15 -15 = 39 -15
x = 24
Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches. Which of the following is closest to angle F
1. 38° 2. 65° 3. 52° 4. 72°
Answer:
3
Step-by-step explanation:
The closest angle to F in the triangle is 52 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.
We can use the tangent function to find the measure of angle F:
tan(F) = opposite/adjacent = 18/14
we can find the inverse tangent of this value:
F = tan⁻¹(18/14)
= tan⁻¹(1.28)
F= 52.15°
Hence, the closest angle to F in the triangle is 52 degrees.
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Kai's mom gave him $25 to spend at the book fair. Kai wants to buy as many books as he can. The
cost of each book is $3. He also wants to buy one poster for $2. Write an inequality to show how
many books he can buy. Highlight your inequality in green. Then,solve the inequality
Answer:
7 books
Step-by-step explanation:
i cant write it in an equaction but basically 25 - 2 = 23
then 3 x 7 = 21 so he can only buy 7 books and he'll have 2 dollars left
Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!
Answer:
200
Step-by-step explanation:
PLEASE HELP ME I WILL MARK BRAINLIEST
Answer:the answer is solid B
Step-by-step explanation:
Oh your on edmentum I hate it there is so much work but I can help I'm a math master I'm top 3 smartest at math in my whole school.
A ja ja ja ibsnisbisnobs
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
Set B
4.
5
9
→ 2
-1
-3
Answer:
Step-by-step explanation:
How to write numbers in standard form:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³
PLEASE ANSWER MY RECENT! ITS FOR 47 POINTS AND SUPER EASY! I JUST NEED ADVICE AND NO ONE HAS ANSWERD YET!
Answer:
Hi
Step-by-step explanation:
2. Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D ?
Answer:
[tex](x,y) => (2.5x,2.5y)[/tex]
Step-by-step explanation:
Given
See attachment for ABCD and A'B'C'D'
Required
Determine the dilation rule
Using AB and A'B' as points of references;
[tex]AB = (-1,2)\ to\ (2,1)[/tex]
[tex]A'B' = (-2.5,5)\ to\ (5,2.5)[/tex]
The dilation factor (k) is calculated as:
[tex]k = \frac{A'B'}{AB}[/tex]
This gives:
[tex]k = \frac{(-2.5,5)}{(-1,2)} \ or\ k = \frac{(5,2.5)}{(2,1)}[/tex]
Factorize
[tex]k = \frac{2.5*(-1,2)}{(-1,2)} \ or\ k = \frac{2.5*(2,1)}{(2,1)}[/tex]
[tex]k = 2.5 \ or\ k = 2.5[/tex]
Hence, the scale factor is 2.5
The dilation rule is:
[tex](x,y) => k(x,y)[/tex]
[tex](x,y) => 2.5(x,y)[/tex]
[tex](x,y) => (2.5x,2.5y)[/tex]
20 points for this!! thank you
Answer:
not a function becuz 2 repeats its self twice
Step-by-step explanation:
Answer:
You are welcome
Step-by-step explanation:
help with all of u can, I’d appreciate it. Have a good day
Answer:
a. -12n^3 + 8n^2 - 2n
b. n^4 - n/2
c. 6b^7 + 2b^6 - b^5
Step-by-step explanation:
btw photomath (the app) is really good for this type of stuff
Find the distance between (5, -1) and (1,-5).
4 units I assume. that it is a very basic answer tho and I am not sure if a specific formula or lesson was supposed to be applied to that andwer
does anyone know the answer
Answer:
I think it is A.
Step-by-step explanation:
I hope this helps.
please help, tysm if you do
Answer: It’s 3
Step-by-step explanation:
Hoped I help :)
Mrs. Bruce wants to put in a swimming pool with a deck around the perimeter of the pool. The pool will be rectangular shaped and will have dimensions of 12 feet by 20 feet. The deck around the perimeter will be uniformed in width and have a total area of 68 square feet. Find the width of the deck.
Hint: Draw and accurately label a sketch of the deck and pool in the space below.
Answer:
I think! 3.5 feet wide
Step-by-step explanation:
the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol
The width of the deck is approximately 2.65 feet.
To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.
The total area of the pool and deck can be represented as follows:
(12 + 2x) x (20 + 2x)
where x is the width of the deck.
The area of the pool is:
12 x 20 = 240
So, the area of the deck can be found by subtracting the area of the pool from the total area:
(12 + 2x) x (20 + 2x) - 240 = 68
Expanding the left side and simplifying, we get:
4x²+ 64x - 208 = 0
Dividing both sides by 4, we get:
x²+ 16x - 52 = 0
Using the quadratic formula, we get:
x = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = 16, and c = -52.
Plugging in these values, we get:
x = (-16 ± √(16² - 4(1)(-52))) / 2(1)
x = (-16 ± √(960)) / 2
x = (-16 ± 4√(15)) / 2
x = -8 ± 2√(15)
Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:
x = -8 + 2√(15)
So, the width of the deck is approximately 2.65 feet.
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241.78 divided by (-3.85)
Answer:
-62.8 is the Answer fot the equation, Hope this helped
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
10 in.
16 in.
16 in.
Answer:
1152in²
Step-by-step explanation:
Given the following
Length = 10in
Width = 16in
Height = 16in
surface area of the prism = 2(LW + WH + LH)
surface area of the prism = 2(10*16+ 16*16 + 10*16)
surface area of the prism = 2(160+256+160)
surface area of the prism = 2(576)
surface area of the prism = 1152in²
2. Including the outlier, what is the Q1, Q3, and IQR of the data set?
id
A.Q1 = 29; Q3 = 29; IQR = 2
B.Q1 = 27; Q3 = 29; IQR = 28
C.Q1 = 28; Q3 = 27; IQR = 1
D.Q1 = 27; Q3 = 29; IQR = 2
2 hot
help please important!!!!^click picture
The radius of a baseball is about 9.25 inches. The radius of the Basketball is 9.55 inches. What is the
difference of the volumes between the basketball and baseball?
331.55
2734.89
333.14
364.52
Answer:
C. 333.14
Step-by-step explanation:
Both the basketball and baseball has got the shape of a sphere. So that;
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius
i. Volume of the baseball = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](9.25)^{3}[/tex]
= 3315.5655
volume of the baseball = 3316.57 cube inches
ii. Volume of the basketball = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](9.55)^{3}[/tex]
= 3649.8372
Volume of the basketball = 3649.84 cube inches
The required difference = volume of basketball - volume of baseball
= 3649.84 - 3316.57
= 333.27 cube inches
The difference of the volumes of the basketball and baseball is 333.27 cube inches.
Grayson can read 18 pages of a book in 30 minutes. At that rate, how long would it take Grayson to read 150 pages? Express your answer in hours and minutes.
Answer:
4 hours and 10 min
Step-by-step explanation:
For this equation we will do ratios:
[tex]\frac{18}{30} =\frac{150}{x} \\\\18x=4500\\x=250[/tex]
250 min =
4 hours and 10 min
4(60) = 240
240 + 10 = 250 minutes
If the measure of arc KM is 112°, find the measure of arc LM
The center and a point on a circle are given. Find the circumference to the nearest tenth.
center:(2, 2);
point on the circle: (−6, 5)
The circumference is about ?
Answer:
Circumference ~ 53.4
Step-by-step explanation:
Use the distance formula to get the radius of the circle. The radius is about 8.5. Now put 8.5 into the formula 2(pi)r for the Circumference. Rounding to the nearest tenth the answer is 53.4
Given the points a(0, 0), B(e, f), c(0, e) and D(f, o), determine if line segments AB and CD are parallel, perpendicular or
neither
(450) + (28.75x) = 967.50
solve for x
Answer:
18
Step-by-step explanation:
Hello,
In order to solve for x, we need to isolate the variable on one side of the equation.
To do this, we subtract 450 from both sides of the equation, and this will give you:
28.75x = 517.5
As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.
x = 18
Hope this helps!
I think it’s A but I think that I am incorrect. I’m in desperate need of the answer.
Answer:
It would be D
Step-by-step explanation:
34.607 to the nearest whole number
a cone has a height of 7ft and a radius 4ft. Which equation can find the volume of the cone?
PLEASE I ACTUALLY NEED HELP
Answer:
B
Step-by-step explanation:
equation for volume of a cone = [tex]V=\frac{1}{3}\pi r^2h[/tex]
plug in - [tex]V=\frac{1}{3} \pi (4)^2(7)[/tex]
Answer:
we have
volume of cone =1/3 πr²h=1/3×π×4²×7ft³
so
v=1/3 π(4²)(7)ft³
You spin the spinner twice what is the probability of landing on a three and then landing on a number greater than three
Answer:
2/4
Step-by-step explanation:
Find the value of the variables in the simplest form
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex]
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{\sqrt{3} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by [tex]\sqrt{3}[/tex] )
x = 3
Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)
Answer:
12 I believe
Step-by-step explanation:
[tex]12\sqrt{2}[/tex] x sin(45) = 12
I am pretty positive I am correct, I am sorry if I am off a little