Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
In the function f(x) = x^2 - 2x + 3, what is f(2)?
The right answer is -3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
select the correct answer. witch is the correct simplified form of the expression
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-1/3 -1/2 = -5/6
1/2-1/4 = 1/4
The negative makes the reciprocal
x^1/4/y^5/6
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.
Answer:
2.4 hours
Step-by-step explanation:
after an hour the distance between them will be 80+70=150 miles
1 hour .......150 m
x hours .......360 m
x*150=360
x=360/150
x=2.4 hours
Answer: 2.4 hours
Step-by-step explanation:
Distance = speed x time
1st train = 80t
2nd train = 70t
80t + 70t = 360
t = 360/150 = 2.4 hours
whats a quadrilateral with two sides going in the same direction
Answer:
Trapezoid.
Step-by-step explanation:
That is a trapezoid ( in the UK a trapezium).
There is a pair of parallel sides.
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
d
When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answer:
45 mph
Step-by-step explanation:
hope it helps!
The temperature falls from 0 degrees to -12.4 degrees in
13 1/2
hours. Which expression finds the change in temperature per
hour?
Answer:
Step-by-step explanation:
The temperature falls from 0 degrees to -12.4
0-(-12.4) = 12.4
12.4/13.4 degree per hours
0.9185 degrees/ hour
Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13
Solve: 2 ln 3 = ln(x - 4)
a)x = 9
b)x = 10
c)x = 13
Answer:
x = 13
Step-by-step explanation:
To solve the problem above, we will follow the steps below;
2 ln 3 = ln(x - 4)
[using logarithm rule aInb = Inbᵃ]
so also our equation becomes
In 3² = In (x-4)
The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation
Our equation becomes;
3² = x- 4
9 = x-4
add 4 to both-side of the equation in other to make x subject of the equation
9 + 4 = x-4 + 4
13 = x
x = 13
Answer:
C on Edge x = 13 x =
-4 and x = 4
the solution is x = 4
Step-by-step explanation:
I just did the assignment on edge.
Could anyone plz help me with this question ?
Answer:
45
Step-by-step explanation:
b and c are part of an 180 degrees angle.
You already have a 90 degrees angle
180-90=90
And since there are 2 angles
90/2=45
And b and c are vertical angles
What is the vale of of???
Answer:
B
Step-by-step explanation:
Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.
Answer:
B
Step-by-step explanation:
∠ BDC = 9x ( vertical angles )
∠ ABD and ∠ BDC are supplementary , thus
∠ ABD + ∠ BDC = 180 , substitute values
2x + 105 + 9x = 180 → B
The diameter of a circle is 20m. Find its area in terms of pie(urgent)
Answer:
100 pie m^2
[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]
Answer:
[tex]= 100\pi {m}^{2} \\ [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]
[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]
hope this helps
Evaluate the following expression. 6 squared -1
Answer:
35
Step-by-step explanation:
[tex]6^2 - 1\\36-1\\35[/tex]
What is the measure of the obtuse angle?
Answer:
The measure of and obtuse angle is 180°
Step-by-step explanation:
obtuse angles are more than 90°but less than 180°
I know it's Negative Correlation buy I'm so confused on b....
Basically, the question is asking you if there’s any outliers. An outlier is a data point that seems to not follow the other data points. The outlier here is at about (8, 8000). This point does not follow the negative trend of the other points.
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer:
y=0.5x-4
Step-by-step explanation:
y+3=0.5(x-2)
y+3=0.5x-1
y=0.5x-4
radical expression of 4d 3/8
Answer:
[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]
Step-by-step explanation:
[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
Answer:
14°
Step-by-step explanation:
→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.
→The temperature is -14, so to get it to 0, you add 14:
-14 + 14 = 0
Answer: 14 degrees
Step-by-step explanation:
-14 + x = 0
Find the sum of the first 14 terms for the sequence -2,10,-50,....
Answer:
Step-by-step explanation:
a=-2
r=10/-2=-5
[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]
Find the zeros of the function f(x) = x^3 + 2x^2 -25x - 50 = 0
Answer:
x = -2, x= -5 , x= +5
Step-by-step explanation:
x^3 + 2x^2 -25x - 50 = 0
Factor by grouping
x^3 + 2x^2 -25x - 50 = 0
x^2(x+2) -25( x+2) = 0
(x+2) ( x^2 -25) =0
Using the zero product property
x+2 =0 x^2 -25 =0
x=-2 x^2 = 25
x= -2 Taking the square root of each side
x = ±5
HELP WILL GIVE BRAINLIEST!!!!
How many 1/2 cups are in 3/4 cups?
Answer:
1 1/2 or 1.5
Step-by-step explanation:
think: half of 4 is 2 so 1 half cup would make it to 2/4
than half of that is 1/4 which is 1/2 of 1/2 a cup
adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)
Hevesh wants to make 2 lines of dominoes that are both 21 inches long. Each line has dominoes spaced 1 and 1/2 inches apart. How many dominoes will she need for both lines?
Answer: 30 dominoes in total.
Step-by-step explanation:
Each line is 21 inches long.
the space between dominoes is 1 + 1/2 inches.
(assuming that the distance includes the domino itself) Now, we need at least two dominoes to see this distance,
The we have N + 1 dominoes per line, and the distance is:
N*(1 + 1/2)inches = 21 inches
If we find N, we can find the number of domineoes in each line:
N = 21/(1 + 1/2) = 14
This means that we have 14 + 1 = 15 dominoes in each line, and we have two lines, so we have 30 dominoes in total.
PLEASE HELP! WILL MARK BRAINLIEST!!
A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?
1/18
18/121
55/22
22/131
In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a blue marble from the bag?
3/20
1/5
1/10
1/4
Answer:
18/121
1/4
(not 100% sure)
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone with a volume of 32 cubic feet B A sphere with a volume of 18 cubic feet C A cone with a volume of 72 cubic feet D A cone with a volume of 8 cubic feet
Answer:
A. a cone with a volume of 32 cubic feet
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!:)
What are the solutions to the inequality (x-3)(x+5) less than or equal to 0?
a) {x| 3 less than or equal to x less than or equal to 5}
b) {x| -5 less than or equal to x less than or equal to -3}
c) {x| -5 less than or equal to x less than or equal to 3}
d) {x| -3 less than or equal to x less than or equal to 5}
Answer:c
Step-by-step explanation:
Question 1(Multiple Choice Worth 1 points)
(08.01 MC)
What are the zeroes of f(x) = x2 − x − 2?
x = −2, 1
x = 2, −1
x = −2, −1
x = 2, 1
Answer:
I think its x = 2 , -1 but i don't really know how to explain things sorry
If p ( x,y) is the point on the unit circle determined by real number 0, then tan 0 =___
Step-by-step explanation:
please make me brainlest
THANK U
Answer:y/x
Step-by-step explanation:
Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.
Answer:
A) Yes. The shared side, image, provides enough information for SAS.
Step-by-step explanation:
helpppp plleaassseee
Answer:
the answer is 1/2
explanation:
the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2
look for prefixes and suffixes in these words and move each word into its correct category
Answer:
words with prefixes: pro-duce. uni-cycle.
words with suffixes: hope-ful. goof-y.
words with both: multi-function-al. un-fix-able.
Produce
Unicycle
Words with Suffixeshopeful
Goofy
Words with BothMultifunctional
Unfixable
Hope this helped. If it did, please mark as brianliest as it helps me and others find the correct answer. Thank you! :)
A headteacher wants to survey two Year 7 students. There are 100 students in Year 7. How many possible pairs of students can the headteacher pick?
Answer:
100 divided by 40 is 14
Step-by-step explanation:
just dived 100 by 40 is 14 then add 7 to 14 they give you 21
