Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )
x = [tex]\sqrt{21}[/tex] → B
Write an equation of the line perpendicular to the given line that contains P.
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years
Answer:
Step-by-step explanation:
Complete question
A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.
For Sebastian
Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]
Substituting the given values we get
A =
[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]
For Yolanda
Amount [tex]= P(1+rt)[/tex]
[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]
Yolanda's account will have about $28.67 less than Sebastian's account
Option C is correct
PLEASE PLEASE PLEASE HELP
WITH 2D AND 3A ONLY, PLEASE SHOW YOUR WORKING
Answer:
2d) d = 60°
3a) x = 50°
Step-by-step explanation:
2d) both of the diagonals pass through the centre of the circle and divide the rectangle into 4 triangles,then it means that;
30 + d = 90°
d = 90 - 30
d = 60°
3a) since O is the centre of the circle, and we can see that the 2 chords directly above and below the centre are parallel to each other, it means that angle x = 50° since the two sides projecting from the centre to form x° and 50° are equal and in essence used to form isosceles triangle.
An English teacher reviewed 2/3 of an essay in 1/4 of an hour. At this rate, how many essays can she review in 1 hour?
Answer: 2 2/3
Step-by-step explanation:
Answer:
2 2/3
Step-by-step explanation:
A builder has an 6-acre plot divided into 1 4 -acre home sites. How many 1 4 -acre home sites are there?
Complete question :
A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?
Answer:
24 home sites
Step-by-step explanation:
Given :
Total size of land = 6 - acre
Size of each home site = 1/4 acre
Number of home sites obtainable from the 6-acre land :
Total size of land ÷ size of each home site ;
6 ÷ 1/4
6 * 4/1
= 24
Hence, 24 home sites are on the plot of land.
A tower that is 100 feet tall casts a shadow 125 feet long. Find the angle of elevation of the sun to the nearest degree.
Answer:
39 degrees
Step-by-step explanation:
tan^-1(100/125)
=39 degrees (cor. to the nearest degree)
A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available.
Answer: y = (3^(x-1))*1500
Step-by-step explanation:
We want the relationship
y = f(x)
where y is the number of songs, and x is the number of years.
We know that in the first year, x = 1, the site has 1,500 songs.
The next year, x = 2, the number of songs is tripled, then we will have:
1,500*3 = 4500 songs.
The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.
when x = 4, the number is tripled again:
3*(3^2)*1500 = (3^3)*1500
We already can see the pattern, for the year x, the site will have:
y = (3^(x-1))*1500 songs.
This is the equation we are looking for.
PLEASE ASAP Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 31? Round your
answer to the nearest tenth of a percent.
A. 21.3%
B. 19.3%
C. 20.3%
D. 22.3%
Answer:
20.3%
Step-by-step explanation:
Hope that helps :)
What does this equal to
|9-14|
Answer:
5
Step-by-step explanation:
An absolute value is NEVER negative.
|9 - 14| = |-5| = 5
Answer: 5
kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%
Answer:Im pretty sure it's 25% percent loss
Step-by-step explanation:
sorry if im wrong
Help me PLZZ it’s worth 20 points
Answer: uhhhhhhhhhhhhhhhhhhh whats the question?
Step-by-step explanation:
Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14
Answer: its 4x(3+2)-6÷ 1=14
Step-by-step explanation: in the picture
Urgent !!!! Can someone please help me
Answer:
The answer is D
Step-by-step explanation:
They are using 135 times the weeks, but the car already had 100 miles on it to start. Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D
Please help!!!!! 8th grade mathHint not A
Answer:
c
Step-by-step explanation:
it passes vertical line test and is linear
Answer:
C
Step-by-step explanation:
The answer is C. Hoped it helped.
Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of all angles of a triangle is 180°.
m∠1 + m∠2 + m∠3 = 180°
(m∠1 + m∠3) + m∠2 = 180°
2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]
2(m∠1) = 110°
m∠1 = 55°
Therefore, m∠1 = m∠3 = 55°
Point B has coordinates (1,2). The x-coordinate of point Ais - 11. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
Osing Trig to Find a Side Apr 06, 5:40:44 PM In AOPQ, the measure of ZQ=90°, the measure of Z0=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot. P (hypotenuse) X (opp. of 20) 2009 Q 4.9
Answer:5.4
Step-by-step explanation:
Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.
Answer:
2x^2-x-3
(2x)(-3)
(x)
(1)
Step-by-step explanation:
Distribute
(2x^2) (-3x)
(2x) (-3)
Find the eighth term of a geometric sequence for which a,3 = 35 and r= 7.
Answer:
588245.
Step-by-step explanation:
nth term = an = a1 r^(n-1) where a1 = the first term
a3 = 35 = a1 7^(3 - 1)
35 = a1* 49
a1 = 35/49 = 5/7
So the 8th term = (5/7)* (7)^7
= 588245
PLEASE HELP WITH MY HOMEWORK SCREEN SHOT ATTACTCHED
Answer:
first, second and fourth are all correct
Step-by-step explanation:
I can't figure it out
Answer:
V = 17,371.8
Step-by-step explanation:
V = π r^2 h
V = π (12)^2 (38.4)
V = 17,371.75073729
V = 17,371.8
You have to calculate the area of the base of the cylinder (the circle) by using the formula π r^2, r = the radius of the circle. You are squaring the r because r^2 = diameter. The formula to get the area of a circle is π r ^2. To get the volume you need to multiply the area of the circle by the height of the cylinder. All together the total formula to get the volume of a cylinder is π r^2 h
3-6 x (34 divided by 30)2
Answer:
3-6
Step-by-step explanation:
The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².
To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:
First, let's simplify the exponent expressions within the parentheses:
3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)
3⁰ = 1 (because any number raised to the power of 0 is 1)
Now, we can rewrite the expression with the simplified exponents:
3⁻⁶ × (81 ÷ 1)²
Next, simplify the division within the parentheses:
81 ÷ 1 = 81
Now, the expression becomes:
3⁻⁶ × 81²
Simplify the exponent:
81² = 6561 (because 81 × 81 = 6561)
Now, the expression becomes:
3⁻⁶ × 6561
1/729 × 6561
6561/729
dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:
729/81
We get 9 which is equal to 3².
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ6
Answer this question please
What is AB?
Triangle ACB is right angle triangle. The length of AC is 12 and BC is 35.
Answer:
the answer is 35
Step-by-step explanation:
because if BC is 35 that means AB will have to be that same because it's a triangle
The required value of AB is 33 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Assume BC is the hypotenuse,
Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.
AB² + AC² = BC²
AB² + (12)² = (35)²
AB² + 144 = 1225
AB² = 1225 -144
AB² = 1081
AB = 32.8785
Rounded to two decimal places,
AB = 33 units
Therefore, the required value of AB is 33 units.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
Find the value of x. Round the length to the nearest tenth.
ANSWER: A)7.2 ft
Answer:
7.2
Step-by-step explanation:
Answer:
I dont think you realize you posted the answer...
Step-by-step explanation:
7.2
How many solutions does the equation 3(x-5)-7=-3x8 have
Answer:
not really good at maths. 15.33
Step-by-step explanation:
3(x-5)-7=3×8
3x-15-7=24
3x =24+15+7
3x = 46
Three will divide it's self to give you one and divide 46 to give you 15.333
(correct me if i'm wrong)
why does the quadratic formula work all the time
the quadratic formula work all the time because it is suitable for every equation.
67 is 42% of what number?
Answer:
28.14
Step-by-step explanation:
Pls helpppp and thank you