(10) Find the values of x, y, and z. The diagram is not to scale.
Answer:
y = 67 degrees
x = 86 degrees
z = 94 degrees
Step-by-step explanation:
This is easy...
38 + 56 = x
94
180 - 94 = 86
86 + 38 + 56 = 180
so x = 86 degrees
___________________
180 - 86 = 94
z = 94
___________________
94 + 19 = 113
180 - 113 = 67
67 + 94 + 19 = 180
so y = 67 degrees
A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
Answer:
The amount of sales=$6000
21 students earn the award
Step-by-step explanation:
1. amount of sales=100/3×$180
=$6000
2. 15/100×140=21
i need help on this
Answer:
(500÷1.8)÷60
By dividing 1.8 out of 500, u can know
Please help ASAP help please
Answer:
The ladder is 10 ft long...
what is 333x2+999-999 divided by 2 =
Answer:
333×2+999-999÷2= 333
Step-by-step explanation:
Answer:
333
Step-by-step explanation:
333 x 2 = 666
666 divided by 2 = 333
999 - 999 = 0, so it doesn't do anything to the final number
The answer is 333
hope this helped~
A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.
H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?
A. (x,y) -> (3x, 3y)
Original
B. (x,y) -> (2.5x, 2.5y)
C. (x,y) -> (2x, 2y)
D. (x,y) -> (1.5x, 1.5y)
Answer: B
Step-by-step explanation:
Which of the following is not a right triangle?
Group of answer choices
3 in, 4 in, 5in
6 in, 11 in, 13 in
8 in, 15 in, 17 in
15 in, 20 in, 25 in
yall please help me with this math question :/
The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number
Answer:
44
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:
x + y = 12
x - y^2 = 0
Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.
x + y = 12
-x + y^2 = 0
By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.
y = (-B +/- sqrt(B^2–4AC))/2A
This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.
Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.
As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.
Ms. Petters has 36 red, blue, and green markers. She has an equal number of each color of marker. She arranges the red markers in 2 equal groups. How many red markers are in each group?
Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?
Write your answer as a mixed number in simplest form.
Answer:
116/8 - 87/8 = 29/8 = 3 5/8 gal
Step-by-step explanation:
WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 20)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......
Answer:
x=60
Step-by-step explanation:
The sum of interior angles of a regular Pentagon is 540°
x+2x+2.5x+x+10+2x+20=540
8.5x=540-30
8.5x=510
x=510/8.5=60
Answer:
x = 60°Step-by-step explanation:
Sum of interior angles of a regular polygon is:
180°(n-2)Pentagon has 5 sides, so sum of angles is:
180°(5-2) = 180°*3 = 540°For the given pentagon we have sum of angle measures as below, and solving for x:
x + 2x + 2.5x + (x +10) + (2x + 20) = 540°8.5x + 30° = 540°8.5x = 510°x = 510°/8.5x = 60°Craig measured a length as 0.034 millimeters. What is the margin of error? 0.03 mm to 0.04 mm 0.033 mm to 0.034 mm 0.0335 mm to 0.0345 mm 0.0345 mm to 0.0350 mm
C. 0.0335 mm to 0.0345 mm
Step-by-step explanation:
The least significant digit of Craig's measurement is in the 0.001 mm place. The error in the measurement is presumed to fall within half that value either side of Craig's measurement. So, the actual value is expected to be in the range ...
0.034 - 0.0005 = 0.0335
to
0.034 + 0.0005 = 0.0345
The measurement is presumed to be in the range 0.0335 mm to 0.0345 mm.
Answer:
C
Step-by-step explanation:
cuz...just trust me
What is the slope of the line?
Answer:
Step-by-step explanation:
by inspection.. ( looking at the graph) we can see that the slope is down hill. so it's going to be negative and also slope = rise / run [rise is negative in this question] soo ... i'm looking carefully to see where the line is crossing the grid marks exactly .. it looks like to me (-3,1) and (2,-3) you tell me if that looks right... if it does .. then the rise / run is 4/5 and this is a negative slope sooo
- 4/5
:)
Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?
Answer:
6 19/20 dollars
Step-by-step explanation:
Sonya had 20 dollars to spend on 3 gifts.
She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.
Gift A + Gift B + Gift C = $20
Gift C = $20 - (Gift A + Gift B)
Gift A = $8 1/4
Gift B = $4 4/5
Hence:
The amount she had left for gift C is :
Gift C = $20 - ($8 1/4 + $ 4 4/5)
Gift C = $20 - $13 1/20
Gift C = $ 6 19/20
If you want to show an increase to the original quantity, how could you change the bar diagram?
Answer:
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?
Step-by-step explanation:
A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?
Answer:
wish i could help have a gret day
Step-by-step explanation:
Answer:
43-7=36
Number of children in the group=36/2
=18children are there in the group
Step-by-step explanation:
each unit cost 14p. How much do 942 units cost
Answer:
Answer: Cost of 1 unit = 14 p Cost of 942 unit = 14 × 942 == 13,188 p
Step-by-step explanation:
What does k represent in the equation y = kx?
Answer:
The constant of variation.
Enter an inequality that represents the graph in the box. Please help!!
add 7 to 5, then divide b by the result
Answer:
you didnt say what b was but itd be 12/b
Step-by-step explanation:
Answer:
b/12
Step-by-step explanation:
whats b?
7 + 5 = 12
so whatever b is, divide that by 12
b/12
help with this .........
9514 1404 393
Answer:
x = 30
Step-by-step explanation:
Supplementary angles total 180°.
5x° +x° = 180°
6x = 180
x = 180/6 = 30
The value of x is 30.
HELP ASAP!!!!
GIVING BRAINLIEST!
Find the value of x and y with the steps PLEASE.
Answer:
x=70
y= 40
Step-by-step explanation:
the triangle containing x is an isosceles triangle so two of the sides are 55.
55+55+x=180.
110+x=180
110-110+x=180-110
x=70
Triangle BAC is equilateral so 180/3=60. Now
x+60+c=180
70+60+c=180
130+c=180
130-130+c=180-130
c=50
That gives us one corner of triangle CBD. We know a second angle is 90 so
50+90+y=180
140+y=180
140-140+y=180-140
y=40
I think that is correct but you are free to check it yourself
Complete the ratio. 78 chairs in 6 rows : ______ chairs in 1 row.
Answer:
13 chairs in one row
Step-by-step explanation:
i don't know how to explain bi have given you the answer already goodbye
Can someone plz help!!!! :(
Answer:
60 degress
Step-by-step explanation:
How I got it:
1. Find out the angel of each side. 360 divded by 6 = 60
2. Get the answer of 60
Advice:
-Make an polygon using paper and rotate it. (Use protractor and ruler if your gonna do it)
Can some one plz help fast F=-m+B/q^3
whaaaa
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sorreee
y = 6x + 8, find y when x = -3. *
Answer:
-10
Step-by-step explanation:
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
Carey needs $60 to buy her mothers a gift. She has saved 25% of that amount so far. How much has she saved so far?
\
Answer:
$15
Step-by-step explanation: