Answer:
[tex]900\sqrt{3}\:\mathrm{cm^2}\text{ or }\approx 1,558.85\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
Heron's formula can be used to find the area of any triangle and is given by:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).
By definition, all three sides and angles of an equilateral triangle are equal. Therefore, if the total perimeter is 180 cm, each side must have a length of [tex]180\div 3=60\text{ cm}[/tex].
The semi-perimeter is therefore:
[tex]s=\frac{60+60+60}{2}=90\text{ cm}[/tex]
Substitute values into Heron's formula to get:
[tex]A=\sqrt{90(90-60)(90-60)(90-60)},\\A=\sqrt{90\cdot 30\cdot30\cdot 30},\\A=\sqrt{2,430,000},\\A=\boxed{900\sqrt{3} \:\mathrm{cm^2}}\approx \boxed{1,558.85\:\mathrm{cm^2}}[/tex]
using trig to solve for missing angle
here's the answer to your question
Solve the range for the data set. (4,11,25,1,17,34,11,30)
a. 32
b. 33
c. 34
d. 35
Answer: b. 33
Step-by-step explanation:
The range is when you subtract the lowest value in the number set by the highest number in the number set. For this particular example, it would be 34-1= 33.
Hope this helps you!
41.687510 to binary form
I believe your answer would be 101001.1011000000000000101.
Hope this helps!
Have a great day!
Please help me answer it right
Answer: B
Step-by-step explanation:
3/4 x 4/4 = 12/16
Answer:
12/16
Step-by-step explanation:
16 is a multiple of 4, so using the scale factor of 16 and 4, you can solve to find the numerator.
16 / 4 = 4
3 × 4 = 12
The answer is 12/16.
Hope this helps.
Add. Simplify the answer and write it as a mixed number. 1/2+2/3+1/6
Answer:
1 1/3
Step-by-step explanation:
Find the common denominator of all three which is 6.
Then multiply each to make the common denominator 6
1/2*3 = 3/6
2/3*2 = 4/6
1/6*1 = 1/6
Then add all of them together
3/6+4/6+1/6 = 1 2/6
Simplified equals 1 1/3
B. Jennifer needs new trim around the base boards.
How much trim does she need?
What assumptions do you make?
I need help!!! please help me!!!
Answer:
um ok the laiyflylfug;ou;
Step-by-step explanation:
5. Dylan walks into a video arcade with a pocketful of quarters. He spends them
at a rate of nine every half hour until he runs out. If the amount of quarters Dylan
has is graphed over time, which feature of the graph corresponds to Dylan's
initial amount of quarters, before he spends the first one?
The y-intercept
The slope
The x-intercept
The minimum value
Answer:
The y-intercept
Step-by-step explanation:
Have a good day :)
Solve for x.
A) - 9
C) -5
B) -11
D) 10
Answer: D) 10
Step-by-step explanation:
All angles in a triangle adds up to 180°
60° + 50° + 7x = 180°
7x = 180° - 60° - 50° = 180°- 110° = 70°
x = (70 ÷ 7)° = 10°
Help please! It’s multiple choice :)
Answer:
A
Step-by-step explanation:
Helppppp meeeeeeeeeeeeeeeee
Answer:
A. 8/10
Step-by-step explanation:
(0.8 × 10) / (1 × 10) = 8/10 (since, multiplying 10 shifts the decimal point towards the right by one place)
Further, we can reduce fractions 8/10 by dividing the numerator and denominator by 2.
(8 ÷ 2) / (10 ÷ 2) = 4/5
Thus, 0.8 as a fraction is 8/10 or 4/5
Answer:
C
Step-by-step explanation:
https://socratic.org/questions/how-do-you-convert-0-8-8-repeating-to-a-fraction
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
witch is equivalent to 3x+5+7x+2
1. 17
2. 15x+2
3.10x+7
4. 17x
Answer:
option 3
Step-by-step explanation:
Given
3x + 5 + 7x + 2 ← collect like terms
= (3x + 7x) + (5 + 2)
= 10x + 7 → option 3
According to the question
=3x + 5+7x + 2
Combining Like terms
= (3x + 7x) +(5+2)
= 12x + 7
Therefore the correct option is third
10x + 7
Answered by Gauthmath must click thanks and mark brainliest
Help me with the step by step solution highly appreciated
Answer:
x = -10
x = 6
Step-by-step explanation:
hope this helps:)
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
i need help ASAP. troll answers WILL be deleted.
(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE
(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE
(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE
(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE
Correct Answer: (-4, -2)
Hope this helps!
Answer:
(-1,-3)
Step-by-step explanation:
(x,y)
it's not hard just plug in the coordinates for x and y ;-;
-2 is x, -3 is y
-3+-2<-5
-5<-5? false.
-4 is x, -2 is y
-2+-4<-5
-6<-5? false.
-3 is x, -2 is y
-3+-2<-5
-5<-5? false
-1 is x, -3 is y
-1+-3<-5
-4<-5? true
hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!
Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the top of the opposing wall is 20° and the angle of depression to the bottom of the opposing wall is 320 feet. Using the appropriate right triangle solving strategies, solve for the following: (Do not round intermediate calculated values. Only the final answer should be rounded to one decimal place.)
Answer:
x is approximately 226.3 feet
y is approximately 308.6 feet
z is approximately 226.3 feet
Step-by-step explanation:
The given parameters of the walls are;
The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°
From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°
The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet
x = The height of the shorter wall = l × sin(θ₂)
∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet
∴ x ≈ 226.3 feet
By observation, we have;
y = x + z × tan(θ₁)
Where;
z = l × cos(θ₂)
∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6
y ≈ 308.6 feet
z = l × cos(θ₂)
∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3
z ≈ 226.3 feet.
using trig to solve for missing angle
Answer:
[tex]58.99[/tex]
Step-by-step explanation:
[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]
please help, is associated with angles. thank u :)
Answer:
Step-by-step explanation:
Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,
75 = 4x + 7 and
68 = 4x so
x = 17
Audrey Baker bought 4 new tires for her
car. The cost of each tire was $75. The
Federal Excise tax was $5.10 per tire, and
the state sales tax was 7% of the cost of the
tires, excluding the excise tax. Find the
total cost of the tires.
Please show work
Answer:
the cost of the tire=341.4$
what is percent of a number
Step-by-step explanation:
a fraction of a number out of 100%
Answer and step-by-step explanation:
Percent (%) means per 100
A percentage is a number or ratio expressed as a fraction of 100
Example 50% of 8 = 8*50/100 = 4
WILL MARK BRAINLIEST!!
Angelica uses the point 4,3 to represent the location of her house and uses the point 10,8 to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.
Answer:
Angelica's house is 11 miles away from the gas station.
Step-by-step explanation:
The most simple path from Angelica's house is 11 blocks away from the gas station and each unit/block is 1 mile. So 11 miles.
The difference between one half of a number and one fifth of it is 561. Find the number.
A. 2805
B. 1870
C. 5610
D. None of these answers
Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)
Answer:
A. (2,5), (3,6), (6,9)
Step-by-step explanation:
In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.
please help (picture) its due in an hour
Answer:
a) 6x-8
b) -18x^2-15
c) x^4+2x^3+7x^2
Is -46.2 a irrational number
Answer:
No
Step-by-step explanation:
irrational numbers have nonrepeating and non terminating decimals
This decimal stops at one digit so this is a rational number
Answer:
I would say no
Step-by-step explanation:
An irrational number can't be written as a simple fraction.
Can someone please help me out with this its really urgent Ill mark brainliest
Answer:
smart dot company c=.50t+12
communication plus c=2.50t
Step-by-step explanation:
smart dot has the starting point of $12 per month already so that would be your y-intercept with the equation being y=mx+b , y being the cost m being the amount of money per hour, x being the time spent, and b being the starting cost.
So with that smart dot would be c=.50t+12
with communication plus not having that starting point it would just be c=2.50t
Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
Name the quadrant or axis where the point (4.-6) is located.
Answer:
Step-by-step explanation:
(4, -6) is in quadrant IV , (quadrant 4)
The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
a. O 6x-7y+27 = 0
b. O 7x+6y-27 = 0
c. O 6x+7y-27=0
d. 0 6x+7 y+27 = 0
e. O -7x+6y+99 = 0
f.
No Answer
Answer:
0 = 7x-6y -99
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 7/6x+b
Using the point
-6 = 7/6(9) +b
-6 = 7*3/2 +b
-6 = 21/2 +b
Subtract 21/2 from each side
-12/2 -21/2 = b
-33/2 = b
y= 7/6x -33/2
Multiply each side by 6
6y = 7x - 99
Subtract 6y from each side
0 = 7x-6y -99
This one is giving me trouble, I need help on it
What is the domain of the function graphed below?
Answer:
x≤7
Step-by-step explanation:
i hope it will help
===============================================
Explanation:
The drawing is fairly faint, but it appears there's an arrow pointing to the left at the location (-6,3). If this is the case, then the function curve continues on forever in that direction.
The domain is the set of allowed x values. If we were to place the pencil on the blue curve and shade the x axis directly above or below that pencil point, then we would effectively shade everything to the left of x = 7.
In other words, we would shade x < 7 on the number line. The value x = 7 itself is left out due to the open hole.
Again, this all assumes that there is an arrow at (-6,3) that points to the left.
