Answers
Answer step-by-step
If triangle ABC is equilateral then the value of x is 3.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
ABC is an equilateral triangle.
AD is the perpendicular bisector of CB
As AC=8 units.
The other sides of triangle will be also 8 units.
D will be the midpoint of CB.
CD=4 units and DB is 4 units.
Let us consider triangle ACD
AC²=CD²+AD²
8²=4²+x²
64=16+x²
Substitute 16 from both sides.
64-16=x²
48=x²
Take square root on both sides.
x=√48
=√16×3
=4√3
Hence, if triangle ABC is equilateral then the value of x is 3.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
Related Questions
Type the correct answer in the box log's
Answers
Answer:
log(7) will be the correct answer.
Step-by-step explanation:
[tex]\text{\frac{14}{3}}+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]By using law of logarithm to solve the given expression,
1). [tex]\text{log}(m)+\text{log}(n)=\text{log(mn)}[/tex]
2). [tex]\text{log(m)}-\text{log(n)}=\text{log}(\frac{m}{n})[/tex]
By applying these rules, we can simplify the given expression,
[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]
[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})=\text{log}(\frac{\frac{14}{3}\times \frac{11}{5}}{\frac{22}{15}})[/tex]
[tex]=\text{log}(\frac{\frac{154}{15}}{\frac{22}{15}})[/tex]
= [tex]\text{log}(\frac{154}{15}\times \frac{15}{22})[/tex]
= log(7)
Therefore, log(7) will be the correct answer.
Which expressions are equivalent to 16^(3/2)?
Answers
Answer:
16^(3/2)=64
Step-by-step explanation:
Need ASAP
Gabe spent 26 days traveling in Europe. How many hours did he spend traveling in Europe?
Answers
Answer:
624hours
Step-by-step explanation:
There are 24 hours in a day, so multiply the amount of days by 24 to find the amount of hours:
26 x 24 = 624hours
What is the product of 2.416 and 10^5? *
Answers
2.416x10^5
Or
241600
Both are correct the second is just in expanded form
MARK ME BRAINLIEST PLEASE
Answer:
241600
Step-by-step explanation:
Hall and rey are seeing who can make the most money working their new summer jobs. Rey made $154.21 in the first month. If hall finishes the summer with $313.06, how many hours at a rate of $8.04 per our, does rey need to work to make more than hall
Write an inequality that represents the situation using x to represent the hours
Answers
Answer:
x564.99
Step-by-step explanation:
Which of the following represents 2x - 5y + 15 = 0 written in slope-intercept form?
y=x-3
y=x+ 3
y=-x+3
Answers
slope intercept form is y=mx+b
i got y = 2/5x + 3
A container has a volume of 3.6 m3 . Convert the volume into cm3 .
Answers
Answer: 3 600 000 cm³
Step-by-step explanation: 1 m³ = 1000 dm³ = 1 000 000 cm³
Show
that (2+√3)(2-√3)(5+root2)
(5-root2) is rational number.
Answers
Answer:
(2+3)(2−3)(5+2)(5−2)=>(22−(3)2)(52−(22))=>(4−3)(25−2)=>(1)(23)=>23
(5-√2)=(2^2-√3^2)(5^2-√2^2)=(4-3)(25-2)=23 and 23 is rational number
PLEASE HELP!!!!!! I WILL MARK YOU BRAINIEST
Answers
Answer:
Measure of angle b is 42 degrees
Step-by-step explanation:
Since angle b is part of a right angle, we can see that part of the right and blue is 48 degrees, and the other part is b. So, we can do 90-48 to get 42 degrees.
Answer:
42
Step-by-step explanation:
since one of the lines for angle b makes a 90° angle all you have to do is subtract 48 from 90 and that is your answer
What should be included in a financial plan to protect assets?
Answers
Reflect (2.5,4.5) in the x-axis.
Answers
9514 1404 393
Answer:
(2.5, -4.5)
Step-by-step explanation:
Reflection in the x-axis changes the sign of the y-coordinate
(x, y) ⇒ (x, -y)
(2.5, 4.5) ⇒ (2.5, -4.5)
12. Find the measure of angle x.
13. Find the measure of angle x.
Answers
Answer:
x=21
x=122
Step-by-step explanation:
Answer:
x= 21
x=122
I hope this will help you.
How is the graph of the parent quadratic function transformed to produce the graph of y--(2x+6)2+3?
O The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated
up 3 units
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
up 3 units
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units
O The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units
Answers
Answer: a
Step-by-step explanation:
just took the test
1 = 5cm base s = 8cm s= 8cm 1 = q cm
what is surface area
Answers
Answer:
The surface of the area is 320 cm. :D
Step-by-step explanation:
max is a 22 year old planning to retire at age 67 he is i vesting in a mutual fund and hopes to earn the average inflation adjusted stock market return of 7% anually. If max deposits $200 per month into this fund, how much can he expect to have when he retires? Show work
Answers
Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.
How to calculate the future value (FV)?The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:
FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)
Where;
FV = Future value or the expected amount when he retires = ?
D = Monthly deposit = $200
r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333
n = number of months = (67 - 22) * 12 = 540
Substituting the values into equation (1), we have:
FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)
FV = $758,518.94
Learn more about future value here: https://brainly.com/question/14586629.
#SPJ1
What is the perimeter of the shaded part of this??
Answers
Answer:
18.9cm ( I rounded of and used Π as 3.14)
Step-by-step explanation:
P=distance all round
=1\2ΠD +Πd
see you have to calculate the upper length of the circle , since its half u multiply by a half. And since its not fully shaded the two semi circles are now included as the lower part of the whole shape. so you add them too. (I hope I'm making sense)
I WILL GIVE BRAINLEST find the value of x
Answers
it’s a 45 45 90 triangle
a triangle is 180 degrees and they have given u 2 angles. a right triangle and a 45 degrees. 90 + 45 = 135. and since a triangle is 180 degrees. 180 - 135 = 45
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answers
Answer: Mike!
Step-by-step explanation:
Which equation can be used to solve for x in the
following diagram?
(3x + 12)
Choose 1 answer:
3x + 12) + x = 180
(3x + 12) = x
3x = 180 + x
(3x + 12) + x = 90
Answers
The expression used to solve for x will be 3x + 12) + x = 180. The correct option is A.
What is the supplementary angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The angles having the sum of 180 degrees will be called supplementary angles.
Given that there are two angles one is 3x + 12 and the other is x separated by the inclined line on the horizontal line.
From the supplementary angle property, the sum of the two angles is equal to 180 degree.
3x + 12 + x = 180
Therefore, the expression used to solve for x will be 3x + 12) + x = 180.
To know more about supplementary angles follow
https://brainly.com/question/12919120
#SPJ2
Which of the following is the measure of an acute angle?
A. 89°
B. 270°
C. 97°
D. 122°
Answers
Answer:
A
Step-by-step explanation:
An acute angle is an angle that is less than 90 degrees.
Answer:
Step-by-step explanation:
A
Let f(x) = 3x2 + 2 and g(x) = √x-4. What is the rule for the composition f ∘ g?
Answers
The answer is attached, couldn't post it for some reason
Answer:
hes right
Step-by-step explanation:
5/x=7/x-4
pls help me with this problem if u help i willl heart and follow you
Answers
Answer:
5/x = 7/x-4
5(x-4) = 7(x)
5x - 20 = 7x
5x - 7x = 20
-2x = 20
x = -20/2 = -10
solve it : x² *dy/dx = -2y
Answers
Answer:
r= -sec(θ) x ∛2
θ=0
Step-by-step explanation:
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answers
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
300 paper cups in a dispenser the cups are taken from dispenser at rate at rate of 40 cups per hour
Answers
Answer:
i dont know i dont understand the question
Please help me with this ASAP
Answers
Answer:
34
Step-by-step explanation:
Every triangle = 180 so you add the angles you have 146. You take 180 and you subtract 146 and you get the answer.
PLEASE HURRY
A public radio station raised 25% more during this year's fund-
raiser than it raised last year. If p represents the amount raised
by last year's fund-raiser, which expression represents the
amount raised this year?
Answers
Answer:
1.25p
Step-by-step explanation:
p = amount raised last year
amount raised this year = p +(25% of p)
=1 p+0.25p
=p(1+0.25)
=1.25p
What is the solution to the equation?
19 + 13x = 32
Record your answer in the boxes
below.
00000.00
+/-
I give brainleist
Answers
Answer:
the answer is x=1
Step-by-step explanation:
minus 19 on both sides
then divide by 13 on both sides
what is the equation for the volume of a cylinder? I think is v=pi × r^2 * h just asking for clarification
Answers
Answer:
V=pi multiplied by r^2 times height
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answers
Answer:
i think it is 451 i believe