Answer:
x = 21°
Step-by-step explanation:
Complementary angles have a sum of 90°. If ∠A + ∠B = 90°, we know that
x - 6° + 3x = 90°.
4x - 6° = 90°
4x = 96°
x = 24°
Hope this helps!
Answer:
x=24
Step-by-step explanation:
If angles are complementary, that means they will add to 90 degrees. We know that ∠A and ∠B are complementary, therefore,
∠A+∠B=90
∠A is equal to x-6, and ∠B is equal to 3x.
x-6+3x=90
Combine like terms (all the terms with variables)
(x+3x)-6=90
4x-6=90
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
6 is being subtracted from 4x. The opposite of subtraction is addition, so add 6 to both sides.
4x-6+6=90+6
4x=90+6
4x=96
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by 4.
4x/4=96/4
x=96/4
x=24
A movie theature offers two containers. One container is a traiangular prism with a base area of 12cm and 19 cm of height, for $6.75. The other is a rectangular prism with a base area of 8cm and a height of 15cm, for $6.25. Which container is the better value? Use 3.14 as an approximation for pie
Answer:
rectangular container
Step-by-step explanation:
Triangular prism area: A = 1/3 * base area * height
= 1/3 * 12 * 19
= 76 cm²
Rectangular prism: A = base area * height
= 8 * 15
= 120 cm²
The rectangular container has a better value because it has a bigger area and is cheaper.
Hope this helps!
Answer:
rectangular container
Rectangular container
Step-by-step explanation:
if Mandy Rose the cube 1000 times about how many times can she expect to roll an even number
Answer: 500 times
Step-by-step explanation: There are the same amount of even numbers that there are odd numbers, so just 50% of 1000
Hope this helps :)
WILL MARK BRAINLIEST
Answer:
Ok , why would you just ask the question "WILL MARK BRAINLIEST"?
Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B.
a.r=(8,6,-3)+t(9,9,2)
b.r=(9,9,2)+t(-8,-6,3)
c.r=(9,9,2)-t(-8,6,-3)
d.r=(9,9,2)-t(8,-6,3)
Answer:
It's not C
Step-by-step explanation:
Sorry bud I tried to help you out but i guessed wrong on my test, atleast its not C though:)
Answer:
The answer is B.r=(9,9,2)+t(-8,-6,3)
Step-by-step explanation:
Got it right on the quiz on Edge.
Stay Safe
HURRY UP PLEASE !!
5 x 2 - 21 = 39 ; Solve and what are the x-intercepts of this quadratic equation ?
Answer:
The x-interecepts are 5.6 and -1.4, approximately.Step-by-step explanation:
The given equation is
[tex]5x^{2} -21x=39[/tex]
Where [tex]a=5[/tex], [tex]b=-21[/tex] and [tex]c=39[/tex], let's use the quadratic formula
[tex]x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\ x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4[/tex]
Therefore, the x-interecepts are 5.6 and -1.4, approximately.
What is the length of the unknown side of the right triangle?
A right triangle with hypotenuse x and legs 5 and 12
13
17
25
60
Answer:
13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.
Substitute 5 in for a, 12 for b, and x for c.
[tex]5^2+12^2=x^2[/tex]
Evaluate the exponents.
5^2 is the same as 5*5, which is 25.
12^2 is the same as 12*12, which is 144.
[tex]25+144=x^2[/tex]
Add 25 and 144
[tex]169=x^2[/tex]
We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.
[tex]\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x[/tex]
The hypotenuse is 13.
So the right answer is 13.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Which form most quickly reveals the vertex?
Choose 1 answer:
m(x) = -2(x - 6)^2 + 18
m(x) = -2(x - 3)(x -9)
m(x) = -2x^2 +24x- 54
Answer:
first option
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = - 2 (x - 6)² + 18 ← is in vertex form
with vertex = (6, 18 )
Answer:
The third one.
Step-by-step explanation:
The depth of a lake in Centerville changes over time due to rainfall and evaporation. A few months ago, the depth was 75 feet. Currently, the lake is 24% less deep. What is this year's depth?
Answer: 57 feet
Step-by-step explanation:
Multiply 75 by the remaining amount of water
75x.76 = 57
Answer:
57 feet
Step-by-step explanation:
100%=75 feet
24%=x
24 x 75=1800/100=18 feet
75
-18=57 feet
Select the correct Answer from the drop-down menu
Consider the equation (x^m)^3 = (x^13)^5 x (x-8) ^-5
The value of m is ___
A. 15
B. 28
C. 35
D. 70
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
help question is in attachment
Answer:
50
Step-by-step explanation:
90-40 = 50
Answer:
As the angles are complementary, their sum is 90
x + 40 = 90
x = 50
What is the solution to the system of equations below? y = negative three-fourths x + 3 and y = –12
Answer:
10
Step-by-step explanation:
Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
(40 − 2)2
(40 + 2)2
(29 − 9)2
(29 + 9)2
Answer:
[tex](40-2)^2[/tex]
Step-by-step explanation:
Given: [tex](38)^2[/tex]
To find: the correct option
Solution:
A binomial polynomial is a polynomial consisting of two terms.
A trinomial polynomial is a polynomial consisting of three terms.
On multiplying a binomial [tex](x-y)[/tex] to itself, a perfect square trinomial [tex](x-y)^2[/tex] is obtained.
Here, [tex]38=40-2[/tex]
So, [tex](38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2[/tex]
Here, [tex](40-2)[/tex] is a binomial and it is multiplied to [tex](40-2)[/tex] to get a perfect square trinomial [tex](40-2)^2[/tex]
Answer:
(40 − 2)^2
Step-by-step explanation:
(First just do simple math to narrow down your choices)
A: (40 − 2)^2
40 - 2 = 38
B: (40 + 2)^2
40 + 2 = 42
C: (29 − 9)^2
29 - 9 = 20
D: (29 + 9)^2
29 + 9 = 38
(Now you just have A and D)
A: (40 − 2)^2
D: (29 + 9)^2
(Determine which properly expresses a Perfect Square Trinomial)
A: (40 − 2)^2
I just took the test.
In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O to the nearest tenth of a degree.
Answer:
∠ O ≈ 42.7°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos O = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QO}{OP}[/tex] = [tex]\frac{61}{83}[/tex] , thus
∠ O = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{83}[/tex] ) ≈ 42.7° ( to the nearest tenth )
There are 15 boys and 13 girls in Mr. Garcia's class. What is the ratio of girls to boys?
Answer:
13:15
Step-by-step explanation:
Answer:
3/20
If there are 15 boys and 10 girls, then there are 25 students in total. The probability of choosing a girl immediately would be . There would then be one less girl and one less person, so the chance of choosing another girl would be . We multiply these to get .
hope this helps =)
Find two numbers, if their sum is 97 and their difference is 7.
Answer:
Step-by-s tep explanation:
Answer:
Step-by-step explanation:
Let m and n represent the numbers. Then m + n = 97 and n - m = 7.
Solving the second equation for n, we get n = m + 7. Substituting m + 7 for n in the first equation we obtain:
m + (m + 7) = 97, or
2m + 7 = 97, or 2m = 90
Dividing both sides by 2, we get m = 45. Then n must be 52.
will mark bianleasnt
Which of the following side lengths can form a triangle?
21 cm, 23 cm, and 44 cm
14 ft, 17 ft, and 30 ft
2 in, 3 in, and 7 in
12 mm, 36 mm, and 53 mm
Answer: 14, 17, 30
Step-by-step explanation:
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations:
a + b > c & a + c > b & b + c > a
21 + 23 = 44 which is NOT greater than 44
2 + 3 = 5 which is NOT greater than 7
12 + 36 = 48 which is NOT greater than 53
14 + 17 > 30 & 14 + 30 > 17 & 17 + 30 > 14
so these side length form a triangle
pls answer
take ur time
Answer:
y = 3/4x
Step-by-step explanation:
We need to find the slope of the line
We have point (0,0) and point (4,3)
m = (y2-y1)/(x2-x1)
= (3-0)/(4-0)
=3/4
The y intercept is 0 since it crosses the y axis at 0
The slope intercept form of the line is
y = mx+b
y = 3/4x +0
y = 3/4x
what is the measurement of this angle
Answer:
28°
Step-by-step explanation:
62° + 90° = 152°
180° - 152° = 28°
Stay safe and have a wonderful day! Peace!✌
So the answer is 28 degree.
Look at the attached picture
Hope it will help you..
I don’t get this I gotta find S(t)=
Answer:
multiply s by t
Step-by-step explanation:
you just multiply s times t and get your answer
Find the area of the parallelogram.
base is 7 cm
slant height is 9 cm
side is 12 cm
Answer:
The area is 63 cm
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
The sum of the measures of two exterior angles of a triangle is 252. What is the measure of the third exterior.
Answer:
108°
Step-by-step explanation:
The sum of the exterior angles = 360°, thus
third = 360° - 252° = 108°
Answer:
some of exterior=360,hence360-252=108
Can someone help me with this question? Thanks! :)
Answer:
76.3%
Step-by-step explanation:
I need help with this math question :(
Answer:
k = 5,
y = 5x
Step-by-step explanation:
If y is proportional to x,
y ∝ x
Then the equation will be
y = kx
Her k = proportionality constant.
Now we choose a point from the given table.
Let the point is (2, 10).
By putting the values of x and y in the equation,
10 = 2×k
k = [tex]\frac{10}{2}[/tex]
k = 5
This will be true for any point we choose from the table.
And the equation will be y = 5x
The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?
Answer:2/5
Step-by-step explanation:
Answer:
I think its B...not completely sure though
Step-by-step explanation:
Find the minimum value of the parabola y = x2 + 10.
Answer:
(0,10)
Step-by-step explanation:
A ship leaves port at noon at a bearing of 293°. The ship’s average rate of speed over this time is 18 miles per hour.
Describe the location of the ship at 3:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.
Drag a value into each box to correctly complete the statements.
Answer:
answers at the bottom- basically got the entire question wrong LOL
Step-by-step explanation:
The location or bearing of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.
What is the bearing of an object?The bearing of an object is the direction or location of an object from another place using the northern direction as the reference point.
Given the initial bearing and speed of the ship:
The components form of the vector representing the ship at 3:30 pm is -58, 24.6 miles.
This means the ship is about 24.6 miles north and 58 miles to the west of where the ship left the port.
Therefore, the location of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.
Learn more about bearing at: https://brainly.com/question/19511275
PLEASE HELP!!! 100 points (make sure to show work and be correct)
also answer both questions to get brainiest!!! ASAP!!
Answer:
1. B and E
2. B
Step-by-step explanation:
1. Looking at the line, let's try to establish a relationship between x and y. Take one point (12, 80) and divide y by x:
80 / 12 = 20 / 3
Similarly, if we take (3, 20), we get the same relationship:
20 / 3 = 20 / 3
That means we need to select an ordered pair that follows this relationship:
A. (14, 100) ⇒ 100 / 14 = 50 / 7 --- wrong
B. (15, 100) ⇒ 100 / 15 = 20 / 3 --- correct
C. (16, 100) ⇒ 100 / 16 = 25 / 4 --- wrong
D. (16, 120) ⇒ 120 / 16 = 15 / 2 --- wrong
E. (18, 120) ⇒ 120 / 18 = 20 / 3 --- correct
The possible answers are B and E.
2. Let's say Maya sells b bracelets. That means that she makes 3 * b = 3b dollars for these b bracelets. Look at the answer choices to see which one will have 3 in the x-coordinate and a multiple of 3 in the y-coordinate:
A. (3, 5) ⇒ 5 isn't a multiple of 3, so wrong.
B. (3, 9) ⇒ 3 is the x-coordinate and 9 = 3 * 3, so this is correct.
C. (3, 7) ⇒ 7 isn't a multiple of 3, so wrong.
D. (2, 3) ⇒ 3 isn't even the x-coordinate, so wrong.
The correct answer is thus B.
Answer:
1. B (15,100) & E (18,120)
2. A (3,9)
Step-by-step explanation:
Equation:
y = mx + c
m = (80-20)/(12-3) = 60/9 = 20/3
c = 0
y = 20x/3
(15,100)
100 = 20(15)/2
100 = 100
(18,120)
120 = (20×18)/2
120 = 120
2.
y = 3x
Where y is the amount and x is the no. of bracelet
This is a proportional relationship
From the options, only A satisfies the relationship
Please help with my homework!
Answer:
The radius of a circle is half the length of its diameter.
The diameter of a circle is twice the length of its radius.
30 people with eczema were studied to determine the cause of their eczema. The study determined that 15 of the people had a close family member who had also experienced
eczema similar to their own. Determine the fraction of people who have a family history of eczema. Write your answer as a reduced fraction.
Answer:
When simplified your answer is 1/2
Step-by-step explanation:
Their 30 people as a total
15 people have it through family so 15/30 then when simplify your divided both by 15 and get one half
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
c
Maya biked for 3 hours and then ran for 1 hour and 30 minutes. What distance did she cover?
Answer:
36
Step-by-step explanation:
if it is two hours then half of it is 9
so 18 + 9 = 27 which is how many miles she biked
6 is the number of miles she ran
so u times it by 1.5
27 + 9 = 36
Answer:
36 miles
Step-by-step explanation:
Her running speed is 6 mph and her biking speed is 9 mph (from part a and b)
she biked for 3 hours so multiply that by 9 (biking speed) to get 27
she also ran for an 1.5 hours so multiply that with 6 (running speed) to get 9
27+9=36
hope this helps!