Answers
Answer:
1) x = 12.2
3) x = 21.7
5) x = 17.9
7) x = 31.8
Step-by-step explanation:
Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)
1) 10^2 + 7^2 = x^2
100 + 49 = x^2
149 = x^2
x = sqrt 149 which is about 12.2
3) 16^2 + x^2 = 27^2
256 + x^2 = 729
x^2 = 473
x = sqrt 473 which is about 21.7
5) 9^2 + x^2 = 20^2
(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)
81 + x^2 = 400
x = sqrt 319 which is about 17.9
7) 16^2 + y^2 = 22^2 (y is the height of the triangle)
256 + y^2 = 484
x = sqrt 228
(sqrt 228)^2 + (44-16)^2 = x^2
228 + 784 = x^2
x^2 = sqrt 1012 which is about 31.8
Related Questions
The sum of three consecutive odd numbers is 51. Find the numbers. Show your work and
indicate the property used to find each equivalent equation.
Answers
VERY EASY !!!!!!!!! ASAP
Answers
Answer:
onkine survey tool i think
Answer:
cookies
Step-by-step explanation:
Which letter represents 1/8 on the following number line ?
Answers
Answer:
the answer is p
Step-by-step explanation:
An artist can create 4 pieces of pottery in 2 hrs. What is the artists unit rate in minutes without units?
Answers
Answer:
2 piece per hour
Step-by-step explanation:
Given data
Quantity= 4 pieces
time= 2 hours
Required
The unit rate
rate= quantity/time
rate= 4/2
rate= 2 piece per hour
Simplify
2×3^x - 3^x-1 / 18^x × 2^-x
Answers
Step-by-step explanation:
Collect like terms: 6∧x - 3∧x - 1/ 18∧x · 2
3∧x - 1/ 18∧x · 2
Calculate the product: 3∧x - 2/ 18∧x
Find common denominator: 54∧x/ 18∧x - 2/ 18∧x =
54∧x - 2/ 18∧x
(C) Write an equation for the amount, a, that Maria makes as a function of the number of hours, h, that she
tutors. Keep in mind that Maria will make $0 for tutoring for 0 hours.
Answers
Answer:
yes
Step-by-step explanation:
yes
The given formula can be used to determine the volume of a cylinder V= BH = Area
Answers
Answer:
5626.9 m cubed
Step-by-step explanation:
Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?
Answers
Answer:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
The vertices of the quadrilateral ABCD are;
A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)
The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0
The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1
The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²) = √2
The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0
The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1
The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²) = √2
Therefore;
The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]
Given that the slope of a line gives the inclination of the line on a graph, we have;
The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]
Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.
The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.
Answers
Answer:
40 m²
Step-by-step explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this...
Answers
Answer:
I solved question number 8.
a) p= 9
b) p = 17
I solved number 9 but I'm not sure about it
i) 119
ii) 14165
R1 V
Х
Х
Complete the following table, by using x for no and ✓ for yes:
N No. Z
Q 04 R
e.g.: 0
✓ ✓ ✓
-6 X X
0,12543
V2
1
4
22
7
V-8
5
끓
0,999....
Answers
Answer:
✓ ✓ ✓
-6 X X✓ ✓ ✓
-6 X X
THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.
About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts
55 to 90 for math: 50 to 90 for language arts
55 to 60 for math: 50 to 60 for language arts
85 to 90 for math 80 to 90 for language arts
Answers
Answer:
B
Step-by-step explanation:
Please pls help me :(
Answers
Im on that to, maybe i can help you !! :)
AC =using the Distance Formula
A. 10
B. 5
C. 15
Answers
Answer:
√41
Step-by-step explanation:
Here we want to find the value of AC
A = (-4,0)
C = (1,4)
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
D = √(4-0)^2 + (1-(-4)^2
D = √4^2 + 5^2
D = √(16+25)
D = √41
——-PLEASE HELP W/ EXPLANATION——-
Answers
Answer:
I think it is 94 hope it works
Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)
Answers
Answer:
14%
Step-by-step explanation:
Is 16x2 - 16x + 4 a perfect square?
Answers
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
Simplify( (-4/5)^-2)^2
Answers
=
( (⁵/₄)² )²
= ( (5²/4²) )²
= (²⁵/₁₆)²
25²
-------
16²
=
625
------- = 2.44141
256
I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you
Answers
Answer:
Step-by-step explanation:
Im going to assume they want x+108.
You have 2 expressions sitting on a line, so when added to each other they must = 180
So add and set up an equality
x+108+x+78=180
Combine like terms
2x+186=180
Solve
2x+186=180
-180 -180
2x+6=0
-6 -6
2x=-6
________
2
x=-3
Substitute X for -3
-3+108=
105.
find the measure of side b
Answers
Answer:
227in
Step-by-step explanation:
260 * cos(29 degrees) = 227.401
y = x + 2
y = -5/2x-5
Answers
{ y = -5/2x - 5
x + 2 = -5/2x-5
x = -2
y = -2 + 2
y = 0
(x,y) = (-2,0)
——
Check for solution
{ 0 = -2 + 2
{ 0 = -5/2 (-2) - 5
{ 0=0
{ 0=0
4. Evaluate f(x) = - 9x + 8 at the given value. f(5)
Answers
Answer:
-37
Step-by-step explanation:
f(x) = - 9x + 8
f(5) = - 9*5 + 8 = -37
Answer: -37
Step-by-step explanation:
f(5) = -9x + 8
f(5) = -9(5) + 8
f(5) = -45 + 8
f(5) = -37
is this correct? 3^10 over 3^7 = 3^3
Answers
Answer:
Yes, you are correct
Step-by-step explanation:
Answer: Yes it is.
Step-by-step explanation:
r
3. Identify the vertical intercept of the graph. What does
it tell you about the situation?
Answers
Answer:
Vertical intercept of a graph
The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.
Step-by-step explanation:
btw so hard question mate, enjoy the answer
Leila needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.97. Brand B has a box of 48 spoons for $2.98. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer:
The unit price is the price of a single unit.
To find it, you need to find the quotient between the total price and the number of objects you get for that price.
Brand A:
You get 25 spoons for $1.97
Then the unit price is:
unit price of brand A = $1.97/25 = $0.079
Brand B:
You get 48 spoons for $2.98
Then the unit price is:
unit price of brand B: $2.98/48 = $0.062
Here we can see that the unit price for brand B is smaller, then the better buy is brand B.
G(F(x)) is always equal to F(G(x))
True or False
Answers
Answer:
false
Step-by-step explanation:
PLEASE HELP
Question 1 options:
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answers
Answer:
28.574
Step-by-step explanation:
18.2 x 3.14 then divied by 2
a class has eight boys and 12 girls. what is a ratio of boys to girls?
Answers
Answer:
8:12
Step-by-step explanation:
Answer:
8:12
= 2:3
hope
this
helps
Can you answer the Situation For 50 points
Problem Situation: Jimmy is reading a book for school that is 175 pages long. So far, He has read 50 pages. She can read 25 pages per hour. How many hours will it take her to finish the remainder of the book?
Which answer choice best represents the unknown quantity in this problem
A: h, the number of hours it will take to finish the book
B: p, the number of pages she can read per hour
C: b , the total number of pages in the book
D: a, the number of pages she has already read
Answers
Answer:
a
Step-by-step explanation:
farmer johnson is planting a garden in the park. he has a square garden bed that is 21 feet long. He divides the bed into squares for vegetables. The squares are 3 by 3 feet long.How many different vegetable squares could he have?
Answers
Answer:
3
Step-by-step explanation:
3x3=9
21/9= 3