Answer:
B) 28 in
Step-by-step explanation:
Pythagorean thm formula:
a² + b² = c²
Given:
b = 45
c = 53
Work:
a² + b² = c²
a² + 45² = 53²
a² + 2025 = 2809
a² = 2809 - 2025
a² = 784
[tex]\sqrt{a^2} =\sqrt{784}[/tex]
a = 28
Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
Answer:
4 tens, 3 twenties
Step-by-step explanation:
4 tens ($40) and 3 ($60) twenties work. I’m sorry I don’t have a formula for it though.
Please give me a detailed step by step explanation of how to solve y ≥ 5.
♣ explanation ♣
--------------------------------------------------------------------------------------
It may seem crazy that the value of Y > 5 can be anything, but it can be. Y greater than 5 basically means that Y is any number over 5 and has no exact value.
--------------------------------------------------------------------------------------
Remember, Y is a variable!
The book fair sold 60% of the books
donated to the book fair. They sold
72 books. How many books were
donated in all?
Answer:
120 Books
Step-by-step explanation:
60% of 120 is 72
What is the area of the triangle?
10
8
6
Answer:
10
Step-by-step explanation:
Answer quickly!!!!!!!!!!
Answer:
-4/5
Step-by-step explanation:
Rise over run helps, since the line is negative the slop will be to. Just pick a spot that is whole/on the dot, and rise/fall as down or up until the next spot that's whole, then you 'run' over to the point. (Ex. (0,0) (5,4))
Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *
Answer:
6%
Step-by-step explanation:
Calculate the area of the figure.
im slowly going insane can u do this and tell me how if u can
Step-by-step explanation:
sorry please send a figure, there's no figure here
Please help!!!!!!
BRainliest.
Answer:
4.974
Step-by-step explanation:
Ashley goes to the fair. She is charged $15.00 for admission plus $0.50 for each ride ticket. Ashley has $24.00 to spend at the fair. Write and solve an inequality to represent this situation. Explain what the solution to the inequality means in this situation.
Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm
please help i give all my points
where is the drip at?
A boat is traveling due North at 27mph. A current is flowing at a bearing of 60° west of south at 8mph. Find the actual speed and direction of the boat written in magnitude and direction form.
Answer: [tex]24.02\ mph[/tex]
Step-by-step explanation:
Given
Boat is traveling due to north at [tex]v_{bf}=27\ mph[/tex]
The current is flowing [tex]60^{\circ}[/tex] west of south at [tex]v_f=8\ mph[/tex]
Suppose the actual velocity of boat is [tex]\vec{v_b}[/tex]
In vector notation we can write
[tex]\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}[/tex]
Flow of current can be written as
[tex]\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}[/tex]
Insert the values of vectors
[tex]\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}[/tex]
Magnitude of the velocity is
[tex]=\sqrt{(4\sqrt{3})^2+(23)^2}\\=\sqrt{48+529}\\=24.02\ mph[/tex]
The actual direction and magnitude of the velocity of the boat is the sum of
the velocity of the boat and the velocity of the current both in vector form.
The actual velocity and direction of the boat are approximately 24.02 m/s at a bearing of 16.76° west of north.Reasons:
Direction of the boat = North
Speed of the both = 27 mph
Direction of the current = 60° west of south
Speed of the current = 8 mph
Required:
The actual speed and direction of the boat written in magnitude and
direction.
Solution:
The velocities given in vector form are;
Velocity of the boat, [tex]\vec {v}_{boat}[/tex] = 27·j
60° west of south = 30° south of west
Therefore;
Velocity of the current, [tex]\vec{v}_{current}[/tex] = -8 × cos(30°)·i - 8×sin(30°)·j
The actual velocity of the boat, [tex]\vec{v}_{actual}[/tex] = [tex]\mathbf{\vec {v}_{boat}}[/tex] + [tex]\mathbf{\vec{v}_{current}}[/tex]
Which gives;
[tex]\vec{v}_{actual}[/tex] = 27·j - 8 × cos(30°)·i - 8 × sin(30°)·j
[tex]\vec{v}_{actual}[/tex] = 23·j - (4·√3)·i
Therefore;
[tex]\vec{v} _{actual}[/tex] = -(4·√3)·i + 23·j
Which gives;
[tex]|v_{actual}|[/tex] = √((-4·√3)² + 23²) = √(577) ≈ 24.02
The magnitude of the velocity of the boat, [tex]\mathbf{|v_{actual}|}[/tex] ≈ 24.02 m/s
The actual direction of the boat, θ, is given by the arctangent of the ratio
of the vertical to the horizontal component of the velocity as follows;
[tex]\displaystyle \theta = arctan \left(\frac{23}{-4 \cdot \sqrt{3} } \right) \approx \mathbf{-73.24^{\circ}}[/tex]
Based on the horizontal and vertical component, the above angle θ is
approximately 73.24° relative to the negative x-axis, which is 90° - 73.24° =
16.76° west of north.
Therefore;
The actual direction of the both is on a bearing of approximately 16.76° west of north.Learn more about vector quantities here:
https://brainly.com/question/1614684
1.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–2, –1); maximum
B. (–2, –2); maximum
C. (–2, –1); minimum
D. (–2, –2); minimum
Answer:
D. (–2, –2); minimum
Step-by-step explanation:
It’s D you got to see the lowest part of the graph and you will call it mini except if the graph was going down you will call that point maximum.
Answer:
D. (-2, -2); minimum
Step-by-step explanation:
The vertex is the where the curve turns up/down which divides the figure into two halves.
From the given graph, the graph turns up at (-2, -2) , the graph moves down, therefore, the vertex (-2, -2); minimum.
Hope this will helpful.
Thank you.
Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units
Jorge has saved $15.50. Janet saved 15 of the amount that Jorge saved. Rob saved 12 times as much as Janet. What is the total saved amount of all three?
Answer: 45.725 ( i think)
Step-by-step explanation: 2.325 + 27.9 + 15.50
pliss give me the aswer
Answer:
AA
Step-by-step explanation:
AA
Answer:
15+ 8d
After d day,she has read 15 +8d pages
Construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The whole will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide. The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per cubic foot. What is the least number of truckloads needed to remove all of the soil ?
Answer:
5
Step-by-step explanation:
x) sec’A + cosec?A
secA. cosecA
Answer:
(Sin A + Cos A)/Sin A. Cos A
Step-by-step explanation:
As we know
Sec A = 1/Cos A
and Cosec A = 1/Sin A
Given Equation
Sec A + Cosec A
Substituting the given values, we get -
1/cos A + 1/Sin A
(Sin A + Cos A)/Sin A. Cos A
Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd
Answer:
d. 84 yd
Step-by-step explanation:
[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]
what is 13 over 4 multiplied by 3 over 2
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has two
sandwiches. One of the sandwiches is ham and the other is turkey, If he reaches into both bags without looking, what is the probability that he will grab a red apple and a ham sandwich?
A. 1/8
B. 1/2
C. 3/8
D. 2/3
Answer: 3/8
Step-by-step explanation:
It’s the answer :>
Answer:
c. 3/8
Step-by-step explanation:
3/4 * 1/2 = 3/8
i multiplied both probabilities
what is the answer to −5/12−3/10
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
A girl works a basic week of 40 hours and her basic rate is $6.25 per hour. Calculate her basic wage for the week
Answer:
$250
Step-by-step explanation:
To find the total multiply 6.25 and 40 together
6.25x40
$250 (Don't forget the dollar sign)
Answer:
250
Step-by-step explanation:
If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.
Use the function p(x)=4x-3
what is p(3)
Answer:
9!
Step-by-step explanation:
Use the given functions to set up and simplify p ( 3 ) .
-barbara
Answer:
9
Step-by-step explanation:
p(x)= 4X-3
P(3)= 4×3-3=9
hi :)
TODAY IS THE LAST DAY OF SCHOOL YESSSSSSSSSSSSSSSSSSSSSSSSSSSS
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LETS GOOOOOOOOOOOOOOO
Andre currently runs a total of 12 Miles each week. he plans to increase the number of miles he runs each week by a 1.5 miles until he is running a total of 26 miles each week. how many weeks will it take Andre to reach his goal?
Answer:
1.5x+12=26
Step-by-step explanation:
Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.
Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.
What are the angles labeled ?
Answer:
90° angle
Step-by-step explanation:
Every time you see an angle that has a box, it measures 90°