Answer:
B
Step-by-step explanation:
In a right triangle, the three angles are 30, 60 and 90 respectively. Let the side opposite the 30 degree Angle be A. The hypotenuse is 2a.
According to Pythagorean theorem, the other side is equal to the square root of 4a -a = sqrt 3A.
And then we get: the side opposite the 30 degrees over the other side over the hypotenuse is equal to 1: sqrt 3:2.
So it will be B, 5, 10, 5sqrt3
The set of values that could be the side lengths of a 30-60-90 triangle is (5, 10, 10√3). The answer is option D.
What is a triangle?A triangle is a closed two-dimensional geometric figure with three sides and three angles. It is the simplest polygon and is made up of three line segments that intersect at three points called vertices. The sum of the angles in a triangle is always 180 degrees.
In a 30-60-90 triangle, the side lengths are in the ratio:
1 : √3 : 2
So, if one side is x, then the other sides are x√3 and 2x.
Now, let's check the given sets of values:
A. (5, 5, √2, 10)
This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.
B. (5, 5, √3, 10)
This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.
C. (5, 5, 10, √2)
This set does not satisfy the ratio of the side lengths for a 30-60-90 triangle.
D. (5, 10, 10, √3)
This set satisfies the ratio of the side lengths for a 30-60-90 triangle, where the shortest side is 5, the longer leg is 5√3, and the hypotenuse is 10.
Therefore, the set of values that could be the side lengths of a 30-60-90 triangle is (5, 10, 10√3). The answer is option D.
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Find the slope of the line that passes through (1,4) and (10,3)
Answer:
-1/9
Step-by-step explanation:
m=y2-y1/x2-x1
3-4=(-1)
10-1=9
-1/9
hope this helps :3
if it did pls mark brainliest
The second statement is the
of the first
A. contradiction
B. converse
C. inverse
D. contrapositive
Answer:
The second statement is the contrapositive of the first.
Step-by-step explanation:
We know that x → y is a conditional statement read as 'if x then q'.
The converse EXCHANGES the hypothesis and conclusion such as:
y → x
The 'contrapositive' statement basically NEGATES the converse of the conditional such as:
¬y → ¬x
Coming back towards the question,
Given
x ⇒ y
¬y ⇒ ¬x
Therefore, the second statement is the contrapositive of the first.
Answer:
D. Contrapositive
Step-by-step explanation:
got it right on the test
Math please help :)!!!
Answer:
36, 8.5
Step-by-step explanation:
an exponent of two means that you are multiply a number by itself
so in this case you would multiply 6 by itself: 6 x 6
this gets you 36
and 8.5 doesn't change so its just 8.5
Sophie practices the piano 105 minutes in 1 week. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
Answer:
t = 15dStep-by-step explanation:
You must first know that 1 week = 7days
If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;
105 minutes = 7days
to calculate the total time t that she practices for any number of days, d, we will say;
t minutes = d days.
Solving both expression;
105 minutes = 7days
t minutes = d days.
Cross multiply;
7 * t = 105 * d
7t = 105d
Divide both sides by 7;
7t/7 = 105d/7
t = 15d
Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d
What is the area of a square with a side of 3.8?
Answer:
Step-by-step explanation:
sndk
the difference between 13 fours and 6 fours
Answer:
The lesson activity requires students to use up to four fours and any operation to make the numbers from 0 to 100. For example, 4 + 4 + 4 + 4 = 16.
Initially, students will use the more familiar operations, +, −, ×, ÷, along with brackets to create their equations. For example, (4 × 4 + 4) ÷ 4 = 5. Gradually, finding solutions for the remaining numbers in the list becomes more challenging. Here, it is a good opportunity to introduce some other operations to the students, including √4 = 2 and 4! = 24. In my experience, at least one student in the class will be familiar with the square root operation √n, which will make it easier to introduce. The other operation n!, known as factorial, will be less familiar to students.
n! is the product of all positive integers less than or equal to n; for example, 4! = 4 × 3 × 2 × 1 = 24, or 3! = 3 × 2 × 1 = 6
With the introduction of these two less familiar operations, the number of solutions that students can find to the initial problem increases.
Step-by-step explanation:
. What is 42% of 80?
Answer:
The answer is 33.6
Step-by-step explanation:
hope that helps
Just multiply 80 and 0.42 then you will get the answer.
The Mathematics Club at Einstein High School noticed that the school's student of the week was chosen using an arithmetic sequence. The name of every student in the school was listed alphabetically and
numbered. The numbers of the first 5 students chosen are listed below.
21, 26, 31, 36, 41
What will be the number of the 111th student chosen?
Answer:
571
Step-by-step explanation:
50 POINTS AND BRAINLIEST!!!!!!
Answer:
14 12 10 8 6 4 2
Step-by-step explanation:
Here,
y=8-2x
if x=-3
y=8-2×-3=8+6=14
if x=-2
y=8-2×-2=8+4=12
if x=-1
y=8-2×-1=8+2=10
if x=0
y=8-2×0=8-0=8
If x=1
y=8-2×1=8-2=6
if x=2
y=8-2×2=8-4=4
If x=3
y=8-2×3=8-6=2
A company’s stock was selling at $25 a share. A month later , it was selling at $30 a share . What is the percent increase?
Answer: 20% increase
Step-by-step explanation:
30-25=5 solve for x (5*100)/25 = 20
Solve the equation. -3(-7-x)=1/2(x+2).
Answer:
x=-8
Step-by-step explanation:
HELP! The Question is "Select All Ordered pairs that satisfy the function y=4x + 3.
Answer: see explanation
Step-by-step explanation: To determine which ordered pairs satisfy the equation substitute the x coordinate of the point into the right side and if the value obtained equals the y coordinate of the point then it satisfies the equation
(- 1, - 1)
x = - 1 : y = - 4 + 3 = - 1 ⇒ (- 1, - 1) satisfies the equation
(2, 11)
x = 2 : y = 8 + 3 = 11 ⇒ (2, 11) satisfies the equation
(4, 7)
x = 4 : y = 16 + 3 = 19 ≠ 7 ⇒ (4, 7) does not satisfy the equation
(7, 1)
x = 7 : y = 28 + 3 = 31 ≠ 1 ⇒ (7, 1) does not satisfy the equation
Find AT AND RC. 80 points
Answer:
AT=6, RC=5
Step-by-step explanation:
Perpendicular bisector intersect at T that is the circumcenter.
since RT is a bisector or AC and AR=5 then RC=5
Circumcenter is equidistant from the vercices of the triangle so
AT≅BT≅CT
but CT is given to be CT=6 so AT=6
Answer:
AT=6, RC=5
Step-by-step explanation:
What are the domain and range of the function h(x)=-1/2(x – 4)^2 + 3?
Answer:
See below.
Step-by-step explanation:
[tex]h(x)=-1/2(x - 4)^2 + 3[/tex]
The domain is all real numbers.
The range is all real numbers [tex]\leq 3[/tex].
The domain of the function will be all real numbers and the range of the function will be (-∞, 3].
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The domain means all the possible values of x and the range means all the possible values of y.
The equation of the parabola is given below.
h(x) = – 1/2(x – 4)² + 3
The vertex of the parabola is at (4, 3). The parabola is a downward parabola.
The domain of the function will be all real numbers and the range of the function will be (-∞, 3].
More about the equation of the parabola link is given below.
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A repairman estimates the cost of fixing a computer is at most $225.
The estimate includes $35 for a part, a $40 service charge, and $30 per hour for labor.
What is the maximum number of hours the repairman estimates for the job?
Answer:
The answer is 5 hours
Step-by-step explanation:
First u add the part and service charge toghther which is 75 and then 225 minus 75 is 150 so u divide 150 and 30 and u get 5 which is your answer.
HOPE THIS HELPS
Which expressions are equivalent to 5x square root 28x^5+ 8x^3 square root 7x if x>0?
Answer:
1, 2, & 5 in Vertical Order
The expression equivalent to [tex]5x\sqrt{28x^{5} } + 8x^{3} \sqrt{7x}[/tex] is [tex]18x^{3}\sqrt{7x}[/tex].
SimplificationWhat is simplification?In order to simplify an expression, multiple processes must be used to reduce it to a simpler form.
Formula used in simplification:[tex]\sqrt[n]{ab} =\sqrt[n]{a} .\sqrt[n]{b}[/tex]
Simplification of given expression:= [tex]5x\sqrt{28x^{5} } + 8x^{3} \sqrt{7x}[/tex]
= [tex]5x\sqrt{4*7x^{5} } + 8x^{3} \sqrt{7x}[/tex]
= [tex]5x\sqrt{2^{2} *7x^{4}x } + 8x^{3} \sqrt{7x}[/tex]
Apply the simplification formula
= [tex]5x\sqrt{2^{2}} \sqrt{x^{4} } \sqrt{7x} + 8x^{3} \sqrt{7x}[/tex]
= [tex]5x*2x^{2} \sqrt{7x} + 8x^{3} \sqrt{7x}[/tex]
Further solve,
= [tex]10x^{3} \sqrt{7x} + 8x^{3} \sqrt{7x}[/tex]
= [tex]18x^{3} \sqrt{7x}[/tex]
The expression equivalent to [tex]5x\sqrt{28x^{5} } + 8x^{3} \sqrt{7x}[/tex] is [tex]18x^{3}\sqrt{7x}[/tex].
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A cookie cake is sliced into 6 equal pieces. The
arc length of one slice of cookie cake is 42in. What is the area of one cookie slice?
Answer:
the area of one cookie slice is 7
Ste p-by-step explanation:
In order to join an online learning community, there is a 20$ start up fee and a $5 monthly fee. Write an equation in slope intercept that models this situation
Answer:
y=5x+20
Step-by-step explanation:
The slope equation is usually in the form
y= mx+b
Where "y" is intercept
m= slope
b= constant= 20$ start up fee
Then writing the equation of slope for the question we have y=5x+20 which represent the slope equation.
12. Bacteria Growth. A colony of bacteria is growing
exponentially. Initially 500 bacteria were in the colony. The
growth rate is 20% per hour. (a) How many bacteria should be
in the colony in 12 hours? (b) How many in one day? Use the
formula N = Nye", where N represents the number of bacteria.
The slope of a line passing through points (1, 2) and (1, 3) is equal to:
HELPPP
Answer:
Undefined.
Step-by-step explanation:
m = y2-y1 / x2-x1
m = 3 - 2 / 1 - 1
m = 1/0, which is undefined.
You can also tell because (1,2) and (1,3) is a vertical line, which means the slope is undefined.
6(5+7)-4.8 pls help....................
Answer:
67.2
Step-by-step explanation:
5 + 7 = 12
6 * 12 = 72
72 - 4.8 = 67.2
Answer:
The answer is 67.2
Step-by-step explanation:
6(5+7)−4.8
(6)(12)−4.8
72−4.8
67.2
Which equation has an undefined slope and passes through the points 7, 5
Does anyone know what lesson this is i took these notes are they good
Answer:
ngl i learned this type of math pretty sure, and that looks better than my teachers own notes-
Step-by-step explanation:
ima go poof again cuz if i don't ima lose my game ;-;
Answer: I’m to dumb for that
Step-by-step explanation:
My brain is broken just looking at that math
How many milliliters are equal to 5.265 liters?
5,265 milliliters
52.65 milliliters
52,650 milliliters
526,5 milliliters
Natalie and Anjali each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Natalie spent $86 on 2 hostas and 7 shrubs. Anjali spent $104 on 8 hostas and 4 shrubs. Find the cost of one hosta and the cost of one shrub
Please help it is on solving systems of equation using all methods
Answer: One hosta= $8
One shrub = $10
Step-by-step explanation:
Let the cost of one hostas be h
Let th cost of one shrub be s.
The question can be rewritten into am equation as:
2h + 7s = 86 .......... equation i
8h + 4s = 104 ........ equation ii
Multiply equation i by 8
Multiply equation ii by 2
16h + 56s = 688 ...... equation iii
16h + 8s = 208 ........ equation iv
Subtract equation iv from iii
48s = 480
s = 480/48
s = 10
One shrub cost $10
Put the value of one shrub into equation ii
8h + 4s = 104
8h + 4(10) = 104
8h + 40 = 104
8h = 104 - 40
8h = 64
h = 64/8
h = $8
One hostas cost $8
2.7x -9 = x +7.5 need the answer can't find solution.
Answer:
x = 9.7
Step-by-step explanation:
2.7x -9 = x +7.5
2.7x - x = 7.5 + 9
1.7x = 16.5
x = 16.5/1.7
x = 9.7
Answer:
x = 9.70588
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
2.7x - 9 = x + 7.5
Step 2: Solve for x
Subtract x on both sides: 1.7x - 9 = 7.5Add 9 on both sides: 1.7x = 16.5Divide 1.7 on both sides: x = 9.70588Step 3: Check
Substitute in x into the original equation to verify it's a solution.
Substitute in x: 2.7(9.70588) - 9 = 9.70588 + 7.5Multiply: 26.2059 - 9 = 9.70588 + 7.5Subtract/Add: 17.2059 = 17.2059Here we see that 17.2059 does indeed equal 17.2059.
∴ x = 9.70588 is a solution of the equation.
Donna earns $73.50 for 6 hours of gardening. Mac
earns $97.60 for 8 hours of gardening. Who earns more
per hour? How much more?
Answer:
mn
Step-by-step explanation:
Iced out my wrist, It turned to water like its Fiji. I just traveled out of states, maybe to Tahiti. I'm in Dubai with the gang, getting with the bae, she please me. I slap 5 on top of my tints so you can't see me. I roll up my wrist OK, don't know if ima make it. But ima ball like I'm playing 2k. I know I'm on top, my mama taught me to never be less than great. I hang with animals like gorillas, no snakes, maybe some apes. I know I'm the hero of my hood, might as well hand me a cape.
You think a snake and a dog is the same thing. This a rollie up on my wrist, a bust down no plain jane. I only got three friends so you can't tell me you gang gang. I was all in the deep end so you can't tell me that you my main thing, like no. I had my hands against the wall, I told all my dogs I got they back, just gimme a call. I stand on 10 toes, I can't stand on one, I start to fall. Your love keep loving me, can't end up on my own. But you knew that It ain't no 20's in my stack because that's green, I got the blue pack. My life is hard work, I gotta make it, I can't cool back. My life is a movie, got a groupie and she so bad.
Iced out my wrist, It turned to water like its Fiji. I just traveled out of states, maybe to Tahiti. I'm in Dubai with the gang, getting with the bae, she please me. I slap 5 on top of my tints so you can't see me. I roll up my wrist OK, don't know if ima make it. But ima ball like I'm playing 2k. I know I'm on top, my mama taught me to never be less than great. I hang with animals like gorillas, no snakes, maybe some apes. I know I'm the hero of my hood, might as well hand me a cape.
Answer:
not really
Step-by-step explanation:
Answer:
Bars !!!!!!
Step-by-step explanation:
Identify the system of equations given in the graph below.
Hi there!
[tex]\large\boxed{\left \{ {{y=3x + 1} \atop {y = 3x - 1}} \right}[/tex]
From the graph, we can see that both lines are parallel. We can determine the slope of one line to find the slope of the other.
Use the slope formula to determine the slope of a line. In this case, I am using the blue line as a reference:
[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }[/tex]
[tex]m = \frac{ 3 - 1 } { 1 - 0 } = 3[/tex]
The slope of both lines is 3.
Let's find the equation of the blue line by finding its y-intercept to solve for the "b" value in the equation y= mx + b:
y-intercept is when x = 0, or at (0, 1). Therefore:
Blue line equation: y = 3x + 1
The red line intersects the y-axis at (0, -1), therefore:
Red line equation: y = 3x - 1
The systems of equations is:
y = 3x + 1
y = 3x - 1
Answer:
y = 2x + 1
y= 2x - 1
Step-by-step explanation:
I just took the test and got it correct :)
find the slope of the line PLEASE
Given the graph, we can determine the slope, and use slope formula* to prove it.
Points: (-4, 1) and (-2, -1)
From the graph, the slope of the line is -1, mean the line goes down 1 unit and left 1 unit.
To prove this you can use slope formula*:
[tex]m = \frac{-1 - 1}{-2 + 4} = \frac{-2}{2} = -1[/tex]
*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]