Step-by-step explanation:
What you are dealing with is what we call special right triangles. There are two types of right triangles.
30-60-90 triangle- A special
right triangle with side length ratio as
[tex](a)(a \sqrt{3} )(2a)[/tex]
, where a is any positve number
45-45-90- a special right triangle which side length ratios are
[tex](a)(a)(a \sqrt{2)} [/tex]
where a is any positve number.
45 45 90 triangles is indicated by two congruent side measures( if the legs are congruent and it has a right angle, it is a 45-45-90.
30-60-90 triangles is indicated by a having at least two of the following angles given (30,60, and 90).
Shortcuts:
For a 45 45 triangle,
the legs are equal while the hypotenuse is the sqr root of 2 times than the legs.
Example, look at 1. The legs side length is 12 so our hypotenuse side length will be
[tex]12 \sqrt{2} [/tex]
For a 30-60-90 triangle, the side that is adjacent to the 30 and 90 degree measure sqr root of 3 times more than the horizontal leg.
the slanted side or the side which is adjacent to the 30 and 60 degree angle is twice the length of the horizontal leg or the side that is adjacent to the 60 and 90 degree.
Example, look at 3. We need to find x but we are given the horizontal side so just multiply sqr root of 3 to 12.
[tex]x = 12 \sqrt{3} [/tex]
[tex]1.12 \sqrt{2} [/tex]
2.Both equal
[tex]2.8 \sqrt{2} [/tex]
[tex]3.12 \sqrt{3} [/tex]
4. a=13
[tex]4.13 \sqrt{3} [/tex]
[tex]5.9 \sqrt{4} [/tex]
I need help on this math questions please.
Answer:
(a)
perimeter = 2 + 8 + 4 + 7x + 4x
(b)
perimeter = 11x + 14
HELP PLEASE !!!! SHOW WORK TO ANSWER PLEASE
Answer: ~14°, ~62°
Step-by-step explanation:
See image. You should be able to easily calculate the last two angles.
Find the error & explain why it is wrong:
Laural had to find the average rate of change of f(x) over the interval from x = 6 to x = 10 using the table below.
What did she do wrong?
Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
HELP PLEASE !!!!!!!Estimate each number as a single digit times a power of ten.drag expressions to complete the table each expression may be used or not at all
Answer:
1 is 4x10^-9
2 is 4x10^10
3 is 5x10^7
4 is 2x10^-5
Step-by-step explanation:
I also would use calculator soup it's a good website
The numbers as a single digit times a power of ten are ; 1. 4x10^-9, 2. 4x10^10, 3. 5x10^7, 4. 2x10^-5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, brackets can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
Therefore, each number as a single digit times a power of ten.
1. 0.000000043 is [tex]4 \times 10^{-9}[/tex]
2. 43560000.000 is[tex]4 \times 10^{10}[/tex]
3. 56.234567 is [tex]5 \times 10^7[/tex]
4. 0.00002346 is [tex]2 \times 10^{-5}[/tex]
Hence, The numbers as a single digit times a power of ten are ; 1. 4x10^-9, 2. 4x10^10, 3. 5x10^7, 4. 2x10^-5
To know more about an expression follow;
brainly.com/question/19876186
#SPJ5
A student purchases a car for $12,500. The car loses its value at a rate of 20% per year. After how many years will the car's value fall below $5,000?
An alloy consists of 13 parts of copper to 7 parts of zinc and 5 parts of Nickel what is the percentage composition of the alloy
Answer:
52% Copper, 28% Zinc, 20% Nickel
Step-by-step explanation:
Copper is 13 out of 13+7+5 = 25
13/25 = 52%
Zinc is 7 out of 25 so 28%
Nickel is 5/25 = 20%
I need help please and thank you
Answer:
yes i don't know that so.....
Jon leaves home at 6:00 a.m. and arrives at his brother’s house at 11:00 a.m. What is his average speed, in mph, if he had traveled 325 miles? Remember average speed is total distance divided by total time.
Answer: 4 m/h
Step-by-step explanation: Becaue times x distance and u solve it
Help Fast Plzzzzzzzzzzzzz
Answer:
id say 126
Step-by-step explanation:
I just multiplied all of them. but wait till someone answers just go be sure
Evaluate the expression 2^5
Answer:
32
Step-by-step explanation:
2 x 2 x 2 x 2 x 2
32
hope this helps
Use the diagram to find the measure of angle c !!! Will give b if correct:)
Answer:
C=107°
Step-by-step explanation:
3x-4+6x-7+x+1=180
10x-10=180
10x=190
x=19
C=6x-7
C=6(19)-7
C=114-7
C=107
a metal box that is in shape of cuboid has the following dimensions. the length is 9 inches, width is 2 inches and height is 1. 5 inches. find the total cost of silver coating the entire box if the cost of coating is $2.50 per Sq. inches
Given:
Length of a box is 9 inches, width is 2 inches and height is 1.5 inches.
The cost of silver coating is $2.50 per sq. inches.
To find:
The total cost of silver coating for the box.
Solution:
The total surface area of a cuboid is
[tex]A=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height.
Putting [tex]l=9,b=2,h=1.5[/tex], we get
[tex]A=2(9\times 2+2\times 1.5+1.5\times 9)[/tex]
[tex]A=2(18+3+13.5)[/tex]
[tex]A=2(34.5)[/tex]
[tex]A=69[/tex]
So, the total surface area of the box is 69 square inches.
Cost of silver coating is $2.50 per sq. inches. So, the cost of silver coating for the box is
[tex]Cost=69\times 2.50[/tex]
[tex]Cost=172.50[/tex]
Therefore, the cost of silver coating for the box is $172.50.
Please give me the correct answer.Only answer if you're very good at math.Take your time when answering.
Answer:
your answer will be option B) y=20x+30
Step-by-step explanation:
have a great day
Please help this is due in an hour lol
Answer:
w
Step-by-step explanation:
Answer: I can see the page it say file is deleted
:(
The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a function that describes the relationship between x and y
Answer:
y=20x
Step-by-step explanation:
A rectangle lengths 12m and 17m and is dilated using the dilation (x, y) -> ( 0.4 x, 0.4y). What is the perimeter of the dilated rectangle?
Answer:
Perimeter of the dilated rectangle = 23.2 m
Step-by-step explanation:
If a point is dilated by a scale factor = k
Coordinates of the image point after dilation will follow the rule,
(x, y) → (kx, ky)
From the given rule,
(x, y) → (0.4x, 0.4y)
Which reveals that the figure has been dilated by a scale factor = 0.4
Length of the rectangle = 12 m
Width of the rectangle = 17 m
If the given rectangle is dilated by a scale factor of 0.4,
Length of the image rectangle = 12 × 0.4 = 4.8 m
Width of the image rectangle = 17 × 0.4 = 6.8 m
Perimeter of a rectangle = 2(length + width)
Therefore, perimeter of the image rectangle = 2(4.8 + 6.8)
= 23.2 m
heeeeelllllllllllllllllllllllllpp
Answer:
if your goal is to get the area of each triangle, the answers are:
14in
25in
48in
Here is the answer but am not so sure
14in
25in
48in
Select the correct answer.
Simplify the following expression.
12a3865
9a284c5
OA 4ab2
OB. 9ab2
OC. 4a62c
OD. 9ab2c
HELP PLEASE EASY MATH
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y=mx+b, mx being the slope and b being the y-intercept. The answer is C.
Kristin's Bikes rents bikes for $11 plus $2 per hour. Willie paid $23 to rent a bike. For how many hours did he rent the bike?
Define the variable, write an equation, and solve the equation.
Answer:
6
Step-by-step explanation:
Let x = number of hours.
Let y = cost.
The fixed cost is $11.
The cost per hour is $2.
For x hours, the cost per hour is 2x.
y = 2x + 11
23 = 2x + 11
12 = 2x
x = 6
Answer: 6
ANSWER CHOICES LISTED
what transformation to the linear parent function f(x)=x gives the function g(x)= -4x? select ALL that apply
a. Horizontally stretch by a factor of 4
b. Shift 4 units down
c. Vertically stretch by a factor of 4
d. Reflect over the x-axis
Answer:
c, d.
Step-by-step explanation:
c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.
d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.
A jewelry store purchases
earrings from a
manufacturer for $5 each. If
the store wants to mark up
the price by 75%, what will
a customer pay for a pair of
earrings?
Answer:
$8.75
Step-by-step explanation:
Can someone help me solve this please?
Answer:
54.6 units
Step-by-step explanation:
Tangents from an external point to a circle are congruent, then
top tangent = 9.2 × 2 = 18.4
Thus
perimeter = 18.4 + 18.5 + 17.7 = 54.6 units
Please help me
[tex] \sf{with \: explanation \: again}[/tex]
Answer:
50,000 joulesStep-by-step explanation:
total mass of people = 50× 5 = 250kg
height = 20m
force = mass × g = 250× 10 ( taking g= 10m/s²)
f= 2500Nwork done = force × distance
= 2500× 20
= 50000 jouleswhich list shows these numbers In order from least to greatest?
Answer:
The answer is C
Step-by-step explanation:
i did the lesson
Donna is putting down tile on her outdoor deck. The shape of her deck is shown below. Each unit on the coordinate plane represents 5 feet. Find the area of flooring needed in square feet.
Round your final answer to the nearest tenth.
The given area presented on the coordinate plane has dimensions
given by the lengths of the line joining the vertices.
Response:
The area of the flooring needed is 13.5 ft²How can the area of the shape be calculated?The given figure can be taken as a composite figure of wo triangles and
a trapezium.
Area of the triangle at the top, A₁ = 0.5 × 4.5 × 1 = 2.25
Area of the trapezoid, A₂ = 0.5 × (6 + 4.5) × 1 = 5.25
Area of the bottom triangle, A₃ = 0.5 × 2 × 6 = 6
Therefore;
Area of the figure, A = A₁ + A₂ + A₃
Which gives;
A = 2.25 + 5.25 + 6 = 13.5
Area of the flooring needed, A = 13.5 ft²
Learn more about composite figures here:
https://brainly.com/question/12114614
James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.
Answer:
150+25x = 600
Step-by-step explanation:
Hope this helped!
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
Answer:
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4? -36. -4.
Step-by-step explanation:
hope this helps
Can someone help with this question please?
A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?