When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?
Set up a ratio with height over shadow height:
40/30 = x/15
Cross multiply:
40 x 15 = 30x
600 = 30x
Divide both sides by 30:
X = 20
The tree is 20 feet tall.
Answer:
20
Step-by-step explanation:
It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15
30 = 2 * 15
So we simply do that to 40 too.
40 / 2 = 20
So 20 is our answer.
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
Name the property illustrated. 6 + 4 + 1 = 4 + 6 + 1
Answer:
distribuative property of addition
Step-by-step explanation:
Answer:
I'm going to say expanded form
Step-by-step explanation:
heeeeelppp please, :) please
Answer:
7/6
Step-by-step explanation:
In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)
In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.
Hope this helped :)
what are the 3 ways to determine if ratios are
equal to each other?
i need help! i lost my notes
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
what is 4km:370m in simplest form
Answer:
4.37 KM
Step-by-step explanation:
370 m to KM = 0.37 KM
then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.
Best regards
if an angle is acute then it measures 20 degrees which of the following would be a counterexample? 48 degrees, 90 degrees, 105 degrees, or 180 degrees
The counterexample can be the angle can be 105 degrees.
What is counter example statement?A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.
However, showing that a mathematical statement is false only requires finding one example where the statement isn't true. Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion.
Given statement:
if an angle is acute then it measures 20 degrees
As, we know counterexample is an example in which the hypothesis is true, but the conclusion is false.
Also, acute angles measure less than 90 degrees.
Thus, the counter example will be if an angle is acute then it measures 105 degrees
Learn more about counter example here:
https://brainly.com/question/28746172
#SPJ2
hihiii um ik the answer is 100 but i need the steps and i’m too lazy to even try :)
Answer:
C = 4x+ 16
Step-by-step explanation:
We know that When two parallel lines are cut by a third line, the third line is called the transversal, forming 8 angles.
From the attached diagram,
∠E and (2x+8) are vertical angles formed by the transversal line.
We know that vertical angles are equal.
Hence,
∠E = (2x+8)
∠A and ∠E are called the corresponding girls.
as
∠E = (2x+8)
so
∠A = ∠E = (2x+8)
Therefore,
C = m∠A + m∠E
C = 2x+8 + 2x+8
C = 4x+ 16
Therefore,
C = 4x+ 16
Twice a number decreased by eight is sixteen.
if its right i’ll give brainliest!!
Answer:
6.5
Step-by-step explanation:
Square 42
[tex]\sqrt{42}[/tex]=6.48074....
rounded to the tenth is 6.5
Hope this helps!
Which graph shows a system of equations with an estimated solution of (–3.4, 1.2)? On a coordinate plane, 2 lines intersect around (negative 3.5, 1.8). On a coordinate plane, 2 lines intersect around (1.3, 3.4). On a coordinate plane, 2 lines intersect around (negative 3.5, negative 1.3). On a coordinate plane, 2 lines intersect around (negative 3.4, 1.2).
Answer:
It's D.
Step-by-step explanation:
Got it on edge
Answer:
yep its D
Step-by-step explanation:
Jennifer drove to her aunt's house, which is 325 miles away. If it took her 5 hours and she drove at a constant rate, what was Jennifer's speed in miles per hour?
Solve 7x + 2 =4x+11 please i have 100 points to offer
Answer:
x=3
Step-by-step explanation:
7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side
7x-4x=11-2 ---> combine like terms
3x=9 ---> divide by 3
x=3
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
7x + 2 = 4x + 11
Step 2: Solve for x
Subtract 4x on both sides: 3x + 2 = 11Subtract 2 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(3) + 2 = 4(3) + 11Multiply: 21 + 2 = 12 + 11Add: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.
PLEASE HELP I WILL GIVE BRAINLIEST!!!!
Solve the following system of equations with any method. Show all work and explain your thinking for each
step in the process.
2x- 10y = 10
Sx+9y =9
Answer: Let's solve for x.
2x−10y=10
Step 1: Add 10y to both sides.
2x−10y+10y=10+10y
2x=10y+10
Step 2: Divide both sides by 2.
2x
2
=
10y+10
2 answer
x=5y+5
Step-by-step explanation:
Let's solve for s.
sx+9y=9
Step 1: Add -9y to both sides.
sx+9y+−9y=9+−9y
sx=−9y+9
Step 2: Divide both sides by x.
sx
x
=
−9y+9
x
s=
−9y+9
x
Answer: hope this helps:)
s= -9y+9/x
1)
12 km
12 km
20 km
Is it a right triangle?
Answer:
No, it is a obtuse triangle instead
Step-by-step explanation:
So, you use pythagorean and theorem which is a^2 + b^2 = c^2
So when you plugin in the numbers, it's 20^2__ 12^2 + 12^2
When you square them you get left with 400__144 + 144
Then, you add 144 + 144 = 288
But since 400 is > than 288, then it's an obtuse triangle.
Answer:
No
Step-by-step explanation:
It does not follow the Pythagorean Theorem, which states that the two shorter sides squared (squared BEFORE added together). 12 squared is 144, and 144 plus 144 equals 288. 20, which seems to be the hypotenuse, squared is 400. 288 does not equal 400.
Given the equation y=1/3x+4 , what is the value of y if x = 3? State your answer in decimal form.
please order these from greatest to least = 2.086 2.854 2.81
Answer:
Answer: 2.854, 2.81, 2.086
2.854, 2.81, 2.086
You have to look from left to right to see which number will be greater in the intended value. Ones then tenths then hundredths so forth.
Find the value of X and Y
(WILL GIVE BRAINY)
Answer:
y = 62, x = 122
Step-by-step explanation:
Every triangle's sum of interior angles = 180°.
60 + 58 + y = 180
118 + y = 180
y = 62
Supplementary angles are adjacent angles that make up a straight angle (180 degrees)
58 + x = 180
x = 122
Answer:
x = 122°, y = 62°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 to find y
y = 180° - (60 + 58)° = 180° - 118° = 62°
x and 58° are adjacent angles and are supplementary, thus
x = 180° - 58° = 122°
7.5% sales tax on a $210 bracelet
Answer:
225.75
Step-by-step explanation:
210*7.5%=15.75
add that 15.75 to 210
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices
Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?
Answer:
its associative property
Step-by-step explanation:
2+d=2+d
d=2
help me plz! Find all missing angles
Step-by-step explanation:
m<1=41
m <2=85
m<3=95
m<4=85
m<5=36
m<6=49
m <7=106
Ok um chile what is 10/11+1/2 if you cant answer this than das oki but plz do :v
Answer:
I believe it's 1.333
Step-by-step explanation:
Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.
Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.
Step-by-step explanation:
From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.
Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:
= -$1280 - $560
= - $1840
The new balance is -$1840
Answer:
She is not correct. The correct answer should be -$1840
Step-by-step explanation:
Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.
Which graph best represents a system of equations that has no solution?
Answer: D
Step-by-step explanation: for each answer they were at least going to interact with each other, unlike answer D
150 is 96% of what number TWT
Answer:
156.25
Step-by-step explanation:
150 ÷ 96%
= 156.25
Answer (Three Different Forms):
Decimal:
156.25
Fraction:
[tex]\frac{625}{4}[/tex]
Mixed Number:
[tex]156\frac{1}{4}[/tex]
Step-by-step explanation:
96% is the same as 0.96, and so this problem can be written algebrically as:
0.96 ⋅ x = 150
Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:
x = [tex]\frac{150}{0.96}[/tex]
Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):
Decimal:
156.25
Fraction:
[tex]\frac{625}{4}[/tex]
Mixed Number:
[tex]156\frac{1}{4}[/tex]
Hope this helps! :)
Find the distance between (-1,4) and (5,7).
Answer:
(2, 5.5)
Step-by-step explanation:
Use the midpoint formula.
One number is four more than a second number. Two times the first number is 8 more than four times the second number.
Answer:
The required numbers are:
First number = 4
Second number = 0
Step-by-step explanation:
Let First number = x
second number = y
We are given:
One number is four more than a second number.
Writing in mathematical form:
[tex]x=y+4[/tex]
Two times the first number is 8 more than four times the second
Writing in mathematical form:
[tex]2x=4y+8[/tex]
Now, we will solve these equations by substitution to find values of x and y
Let:
[tex]x=y+4--eq(1)\\2x=4y+8--eq(2)[/tex]
Now, putting value of x from eq(1) into eq(2)
[tex]2x=4y+8\\Put\:x= y+4\\2(y+4)=4y+8\\2y+8=4y+8\\2y-4y=8-8\\-2y=0\\y=0[/tex]
So, we get y=0
Now put value of y in equation 1 to get value of x
[tex]x=y+4\\x=0+4\\x=4[/tex]
So, we get x=4
So, the required numbers are:
First number = 4
Second number = 0
BRAINLIEST: Solve for x: x^3=25
Answer: decimal form is
2.92401773 or 2.92
Step-by-step explanation:
Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though
Step-by-step explanation: