Answer:
1.7 miles
Step-by-step explanation:
Pythagoras' Theorem sets the relation between three sides of a right-angled triangle. The distance between Raoul's home and the library is 1.3 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. Therefore, the distance between the home and the library is the hypotenuse of the triangle formed.
AC² = AB² + BC²
AC² = 0.5² + 1.2²
AC = 1.3 miles
Hence, the distance between Raoul's home and the library is 1.3 miles.
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Mental Math Determine whether each statement is always, sometimes, or never true.An absolute value function of the form f(x) = c|x| is symmetric about the y-axis.
The statement that "an absolute value function of the form f(x) = c|x| is symmetric about the y-axis" is always true.
How to determine whether each statement is always, sometimes, or never true?The function is given as
f(x) = c|x|
The parent absolute value function is represented f(x) = |x|
Also, the parent absolute value function is symmetric about the y-axis.
This is also true for all functions that take the form f(x) = c|x| where c does not equal 0
Hence, the statement that "an absolute value function of the form f(x) = c|x| is symmetric about the y-axis" is always true
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Can any one help me in this please any math genius
(picture included) brainliest
Pls help pls
13 points!!!
Answer:
For ten, it's A
For 11, its B
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
Answer:
10: A. 11: B
Step-by-step explanation:
-8(6x+12)=-32x-24 SHOW YOUR WORK PLS whats x
Answer:
x= -9/2
Hope I helped
Answer:
[tex]x=-\frac{9}{2}[/tex]
Step-by-step explanation:
Simplify the given equation by solving for x. Isolate the x variable in:
[tex]-8(6x+12)=-32x-24[/tex]
Expand the left side by using the distributive property. Remember that when a negative and positive are multiplied, the result is always negative:
[tex]-8(6x)-8(12)=-32x-24\\\\-48x-96=-32x-24[/tex]
Use inverse operations to isolate the variable. Add 96 to both sides, canceling out the -96 on the left:
[tex]-48x-96+96=-32x-24+96\\\\-48x=-32x+72[/tex]
Add 32x to both sides to isolate x:
[tex]-48x+32x=-32x+32x+72\\\\-16x=72[/tex]
Now divide both sides by 16:
[tex]\frac{-16x}{16} =\frac{72}{16} \\\\-x=\frac{9}{2}[/tex]
Make the variable positive by multiplying both sides by -1:
[tex]-1(-x)=-1(\frac{9}{2})\\\\x=-\frac{9}{2}[/tex]
:Done
Note:
You do the same thing to both sides in order to keep the equation balanced. Using the opposite value of a term cancels it out, moving it to the other side.
You have $90 in your bank account. each week you plan to deposit $6 from your allowance and $10 from your paycheck. The equation b=90+(10+6)w gives you the amount b in your account after w weeks from now will you have $195 in your bank account
Answer: After 6.5625 (or 6 1/2) weeks
Step-by-step explanation: You have to replace b with the 195.
195 = 90 + (10+6)w
Subtract 90 from both sides to get
105=(10+6)w
Simplify
105=16w
Divide both sides by 16 to get 6.5625, or 6.5
Yesterday I drank 16 cups of coffee. Today I drank 82% more cups. How many cups of coffee did I drink today?
Answer: 29.12 cups of coffee
Step-by-step explanation:
16 cups of coffee x 0.82 = 13.12
13.12 + 16 = 29.12
whet is 2y+14x-7x+9y
Answer:
Step-by-step explanation:
2y + 14x - 7x + 9y
2y + 9y + 14x - 7x
11y + 7x
Answer:
11y+7x
Step-by-step explanation:
because you combine like terms which is 14x - 7x which is 7X and 9y plus 2y which is 11y so 11y plus 7x is the answer
Looking at this graph, what are the coordinates of the two points in Quadrant II?
Make sure you write them correctly as an ordered pair (x, y).
Add a space between the two pairs. Also, remember to put a space after the commas.
m
Answer:
In quadrant II -
Top point: (-2, 3)
Bottom point: (-3, 1)
Step-by-step explanation:
hope this helps :)
Helpppppppppppppppppppppp
Answer:-4
Step-by-step explanation:
If the measure of angle DBC = (12x - 3), the measure of angle DBE = (5x + 12), and the measure of angle EBC = (3x + 13), find the measure of angle EBC.
Consider the below figure attached with the question.
Given:
m∠DBC = (12x - 3), m∠DBE = (5x + 12), m∠EBC = (3x + 13).
To find:
The measure of ∠EBC.
Solution:
From the figure, it is clear that,
[tex]m\angle DBC-m\angle DBE=m\angle EBC[/tex]
Putting the given values, we get
[tex](12x-3)-(5x+12)=(3x+13)[/tex]
[tex]12x-3-5x-12=3x+13[/tex]
[tex]7x-15=3x+13[/tex]
[tex]7x-3x=15+13[/tex]
[tex]4x=28[/tex]
Divide both sides by 4.
[tex]x=7[/tex]
Now,
[tex]m\angle EBC=(3x+13)^\circ[/tex]
[tex]m\angle EBC=(3(7)+13)^\circ[/tex]
[tex]m\angle EBC=(21+13)^\circ[/tex]
[tex]m\angle EBC=34^\circ[/tex]
Therefore, the measure of angle EBC is 34 degrees.
(8d + 6) - ( 4d +5)
Answer:
12d - 11
Step-by-step explanation:
I think.
Plz don't be mad if it's wrong
Need to know how to understand to work the problem out please so i can help my grandson out i am a grandmother been out of school for so long surely appreciate brantley has helped me out in the past thank you
Here are some key points that you can use to work a problem out.
How to understand a problem?Read and reread the problem to understand what it is about, what is it asking for, and what is the context.Describe the problem in your own words.Visualize the problem.Identify goals to solve the problem.Identify information (required, extra, and missing).Use appropriate resources, such as math and standard dictionaries, etc. to assist them in the correct math problem comprehension.Recognize if there are any conditions and/or assumptions that need to be applied to the math problem to receive the commonsense results.Here are some other strategies that you could use to solve math problems. A brief description of each is stated below:
Guess and Check - Guessing the answer to see if the estimate worksOrganized Lists - Data-organizing chart to visually see the math problem's requirements and optionsPatterns - Patterns sometimes observed in a chart or table or sample problemsEliminating Possibilities - using a system of elimination to achieve the correct solution by testing different cases and checking their validity.Logical Reasoning - Using Venn diagrams for showing logic in reasoning to get the correct solutionVisual Aids - Use Picture, table, diagram, etc. for visually displaying the math sample problem at different stages.Using a Formula - Substituting values in formula to find the solutions.Work backwards - beginning with the end of a math problem.To learn more about problem solving, visit:
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Solve for x solve for x solve for x solve for x solve for x
a² + b² = c²
6² + 3² = c²
36 + 9 = c²
45 = c²
[tex] \sqrt{45} = c[/tex]
[tex] \sqrt{5 \times 3 \times 3} = c[/tex]
[tex] \sqrt{5} \times 3 = c[/tex]
[tex]3 \sqrt{5} = c[/tex]
The high temperature on a given winter day is 5°F. What is the
temperature in °C?
PLEASE SOLVE i wiLL MARK BRainLiest PLSPLS
Answer:
(-1, 2 ,4, 6, 6.9, 6.99, 6.999)
Step-by-step explanation:
The < symbol means less than. The inequality r < 7 means r can be any number less than 7.
That means any value less than 7 would make the inequality true. Any value equal to or greater than 7 would be incorrect and make it false.
When Jose installs a new app on his phone, it creates a square icon on his home screen. The square starts with
side lengths of 1 cm. The side lengths grow by 2.8 cm each second until the square reaches its maximum size.
What is the perimeter of the square after 1.5 seconds? Recall that the perimeter of a shape is the sum of its side
lengths.
O16.8 centimeters
O 19.2 centimeters
O 20.8 centimeters
O 29.2 centimeters
Lo
Answer:
O 20.8 centimeters
Step-by-step explanation:
Guessed on Edge and got it right.
The perimeter of the square after 1.5 seconds will be 20.8 centimeters so option (C) will be correct.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
Perimeter of square = side + side + side + side
Initial side length of square = 1 cm
Rate of grow side = 2.8 centimeter per minutes
By multiplying 1.5
Rate of grow side = 4.2 centimeter per 1.5 minute
So,
New side = 1 + 4.2 = 5.2 cm
Perimeter = 4 × side
Perimeter = 4 (2.5) = 20.8 cm
Hence "The perimeter of the square after 1.5 seconds will be 20.8 centimeters".
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−4x+5−x−2
what is x?
Answer:
−4x+5−x−2= 28
Step-by-step explanation:
−4x+5−x−2 = 28
-5x+3=28
-5x=25
x= -5
What is the value of 1/4 - 7/8
Consider the number lines shown below which shows jump from one number to another. There are four different arrows, starting from the number . Match the number lines given in the first column with the correct mathematical expression that results in the number on the other side of the arrow. Number line 1 Number line 2 Number line 3 Number line 4 Number line 1 Number line 2 Number line 3 Number line 4 DRAG & DROP THE ANSWER −45−20+5-45-20+5−45−20+5 −45+10+5-45+10+5−45+10+5 −45+30−20-45+30-20−45+30−20 −45+35−15-45+35-15−45+35−15
Answer:
Step-by-step explanation:
Its number line 2.
Marcy's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 60 coffees in all, 33 of which were regular. What percentage of the coffees were regular?
Answer:
55%
Step-by-step explanation:
Percentage of regular coffees = [tex]\frac{33}{60}[/tex] × 100%
= 55%
Answer:
55%
Step-by-step explanation:
To find the percentage of regular coffees, divide 33 by 60, and multiply that by 100:
(33/60) x 100
0.55 x 100
= 55
So, 55% were regular
plz hurry help fast hurry
Is the solution positive or negative?
2 ⋅ = 6
− 2 ⋅ = 6.1
2.9 ⋅ = −6.04
− 2.473 ⋅ = −6.859
please help :
Answer:
FOR QUESTION - 2.473 . = -6.859
Positive
(I think)
Step-by-step explanation:
When you multiple negatives you will get a positive.
The hare challenged the tortoise to a rematch race. This time, the hare ran the same speed of 15 meters per second the whole race. The hare didn't even take nap this time. To be nice, the hare gave the tortoise a head start. The tortoise started 200 meters ahead. The tortoise ran 7 meters per second. Create a system of equations to model this situation.
Answer:
[tex]\left \{ {{h=15s} \atop {t=7s+200}} \right.[/tex]
Step-by-step explanation:
Let [tex]h[/tex] be equal to the number of meters the hare travels.
Let [tex]t[/tex] be equal to the number of meters the tortoise travels.
Let [tex]s[/tex] be equal to the number of seconds that pass.
The hare travels at a speed of 15 meters per second, which means [tex]15s[/tex] represents the number of meters the hare travels depending on the number of seconds that pass.
[tex]h=15s[/tex]
The tortoise travels at a speed of 7 meters per second, which means [tex]7s[/tex] represents the number of meters the tortoise travels depending on the number of seconds that pass.
[tex]t=7s[/tex]
However, because the tortoise got a 200-meter head start, we need to add 200 meters to our equation.
[tex]t=7s+200[/tex]
Here is our system of equations:
[tex]\left \{ {{h=15s} \atop {t=7s+200}} \right.[/tex]
I hope this helps!
Jose is a botanist studying production of coconuts by two different groups of his
coconut palms. He noticed that Group 1 of trees produced 25 percent more coconuts
than Group 2 did. Based on Jose's observation, if Group 1 produced 165 coconuts,
how many coconuts did Group 2 produce?
Answer: 132
Step-by-step explanation:
Since we are informed that Group 1 of trees produced 25 percent more coconuts than Group 2 did and that Group 1 produced 165 coconuts, the number of coconuts that Group 2 produce will be:
= [100 / (100 + 25)] × 165
= 100/125 × 165
= 0.8 × 165
= 132
Group 2 produced 132 coconuts.
Plz help......idk what to pick I think D tho I just dont want to get it wrong
Answer:
[tex]A.-1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]Well, there\ is\ a\ simple\ way\ to\ approach\ it.\\-9\frac{2}{7} -(-10\frac{3}{7})\\-9\frac{2}{7} +10\frac{3}{7}\\Separate\ out\ the\ integer\ terms\ and\ the\ fraction\ terms.\\Hence,\\-9+10+\frac{2}{7}+ \frac{-3}{7}\\=1+\frac{2-3}{7} \\=1\frac{-1}{7} \\=-1\frac{1}{7}[/tex]
Answer: bro i got you covered its B easy
Step-by-step explanation:
A car accelerates from 25 km/hr to 55 km/hr in 30 seconds. What is the acceleration?
Answer:
1
Step-by-step explanation:
Took the test
What is 5/8 as a decimal?
Answer:
.625
Step-by-step explanation:
that's what I think it is
Answer:
5/8 = 0.625, 1/5 = 0.2, 2/3 =0.666
Step-by-step explanation:
steven has 5 more marbles than jon has, suppose s is the number of marbles that steven has, and j is the number of marbles that jon has. a. write an equation to describe how many marbles steven has. b. write a different equation to describe how many marbles jon has.
rationalize the denominator of 3/4√3
please give me answer
Answer:
[tex]\dfrac{\sqrt3}{4}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{3}{4\sqrt{3} }[/tex]
Multiplying both numerator and denominator by [tex]\sqrt{3}[/tex],
[tex]x=\dfrac{3}{4\sqrt{3} }\times \dfrac{\sqrt{3} }{\sqrt{3} }\\\\=\dfrac{3\sqrt3}{4\times 3}\\\\=\dfrac{\sqrt3}{4}[/tex]
So, the rationalized form of the given expression is [tex]\dfrac{\sqrt3}{4}[/tex]