what is your average speed if you drive 100km south and then 130km east and it takes 3.25 hours give your answers in km/hr and ft/sec
Answer:
Answer:
speed = 43.974 miles per hour
= 43.974 mi/h
Step-by-step explanation: speed calculator
Find the value of b. A. 75 B. 72.5 C. 145 D. 65
Answer:
B. 72.5
Step-by-step explanation:
b° = 1/2(180° - 35°)
b° = 1/2 * 145°
b° = 72.5°
b = 72.5
The value of angle b will be 72.5°. Then the correct option is B.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.
The central angle is 35°. Then the angle at the periphery will be
⇒ 35 / 2
⇒ 17.5°
We know that the radius of the circle and tangent of the circle makes 90°.
Then the angle b is given as
b + 17.5 + 90 = 180
b = 180 – 107.5
b = 72.5°
Thus, the value of angle b will be 72.5°.
Then the correct option is B.
More about the circle link is given below.
https://brainly.com/question/11833983
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Use the Binomial Theorem to expand (x - 4y)³.
Answer:
x^3-64y^3
Step-by-step explanation:
(x-4y)^3
(x)^3-(4y)^3
x^3-64y^3
Hope this helps ;) ❤❤❤
Solve the equation for x (if possible please show work)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3x - 5 = 2x - 9}[/tex]
Move 2x to left hand side and change it's sign
⇒[tex] \sf{3x - 2x - 5 = - 9}[/tex]
Move 5 to right hand side and change it's sign
⇒[tex] \sf{3x - 2x = - 9 + 5}[/tex]
Collect like terms
⇒[tex] \sf{x = - 9 + 5}[/tex]
Calculate
⇒[tex] \sf{x = - 4}[/tex]
Hope I helped!
Best regards!!
Which of the following equations is quadratic? (a) x1x² + 1) = 0
(b) 5(4x + 2) = 3
(c) (x+3)(x + 4) = 5
Answer:
(c) (x+3)(x+4)=5
Step-by-step explanation:
It's in factored form, and you would use the method of finding the perfect square to get the equation set to zero and find the solutions.
perimeter of a regular pentagon is 5 times the length of its side
Answer:
True
Step-by-step explanation:
A regular polygon is a polygon that is equiangular and equilateral.It means the perimeter of it is 5 times the length of its side.
The answer is yes, the statement is TRUE.
Math problem: If Alexander the Great had lived 9 years more his reign would have lasted 1/2 his life, while if he had lived 9 years less his reign would have lasted 1/8 of his life. How old was Alexander when he died? And how long did he reign?
Answer: lived 48 years
reigned for 15 years
Step-by-step explanation:
Let x represent the number of years he reigned.
Let y represent Alexander's age.
Use the given information to create a system of equations:
Equation 1: x + 9 = (1/2)y
Equation 2: x - 9 = (1/8)y
Multiply the second equation by -1 and add the equations to eliminate x:
[tex].\quad x+9=\dfrac{1}{2}y\\\\\underline{-x+9}=\underline{-\dfrac{1}{8}}y\\\\.\qquad 18=\dfrac{3}{8}y\\\\.\qquad 48=y[/tex]
Input y = 48 into either equation to solve for x:
[tex].\quad x+9=\dfrac{1}{2}(48)\\\\.\quad x+9 = 24\\\\.\qquad x = 15[/tex]
The children from a football club are put into rows in the sports hall. When put in rows of 6 children, there are 3 children left over. When put in rows of 8, there are 3 children left over. What is the least number of children in this football club
Answe:
27
Step-by-step explanation:
Let total children =x
when x divide by 6 we got 3
and when divide by 8 we also got 3
since x divided by both 6 and 8 got 3, we can use LCM to find the number to children in the club exclude the 3 player. you will get 24 and by adding 3 the total players that you will get is 27
Write a justification for each step given that EG=FH
Answer:
Option (C)
Step-by-step explanation:
Statements Reasons
1). EG = FH 1). Given information
2). EG = EF + FG 2). Segment addition postulate
3). FH = FG + GH 3). Segment addition postulate
4). EF + FG = FG + GH 4). Definition of congruent segments
5). EF = GH 5). Subtraction property of equality
Therefore, reasons given in Option (C) will be the answer.
somebody please help me on this geometry it is urgent!! i’ll mark you the brainliest please don’t waste answers
the 3rd and the 4th terms of an arithmetic progression are 6and30 respectively determine the common term,first term and the 10th term
Answer:
first term= -42
common difference= 24
10th term= 174
36m2 - 25 = 0 please show work :)! Factoring problem
solve 36x^2+23=60x using quadratic formula
Answer:
x₁ = 0.6
x₂ = 1.07
Step-by-step explanation:
36x² + 23 = 60x
36x² - 60x + 23 = 0
x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)
x = {60±√(3600-3312)} / 72
x = {60±√288) / 72
x = {60±16.97) / 72
x₁ = {60-16.97} / 72 = 43.03/72 = 0.6 aprox.
x₂ = {60+16.97} / 72 = 76.97/72 = 1.07 aprox.
verify:
x₁
36*0.6² + 23 = 60*0.6
36*0.36 + 23 = 36
13 + 23 = 36
x₂
36*1.07² + 23 = 60*1.07
36*1.145 + 23 = 64.2
41.2 + 23 = 64.2
For the points given below, find (a) PQ and (b) the coordinates of the midpoint of PQ. P(0,-3), Q(7,0)
Answer:
Step-by-step explanation:
Given P(0,-3), Q(7,0), to get PQ, we will use the formula fr calculating the distance between two points expressed as;
PQ = √(x₂-x₁)²+(y₂-y₁)²
From the given coordinates, x₁ = 0, y₁ = -3, x₂ = 7, y₂ = 0
PQ = √(7-0)²+(0-(-3))²
PQ = √7²+3²
PQ = √49+9
PQ = √58
Let the coordinte of the midpoint be (X, Y)
X = x₁+x₂/2 and Y = y₁+y₂/2
Substituting the given coordinates will give;
X = 0+7/2
X = 7/2
X = 3.5
Y = -3+0/2
Y = -3/2
Y = -1.5
Hence, the coordinates of the midpoint of PQ is (3.5, -1.5)
what is the value of "x" if 16-x=3
Answer:
[tex] \boxed{ \boxed{ \bold{13}}}[/tex]Step-by-step explanation:
[tex] \sf{16 - x = 3}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{ - x = 3 - 16}[/tex]
Calculate
⇒[tex] \sf{ - x = - 13}[/tex]
Change the signs of both sides of the equation
⇒[tex] \sf{x = 13}[/tex]
Hope I helped!
Best regards!!
Answer: 13
Step-by-step explanation:
16-x=3
16-x-3=3-3 ⇔ subtraction property of equality
13-x=0
13-x-13=0-13 ⇔ subtraction property of equality
-x=-13
x=13
-----------------------------------
Easier way if you know how to do equation
16-x=3
-x=-13 (skip all the subtracting parts)
x=13
Hope this helps!! :)
Astronomers estimate the internal temperature of the sun is 15,000,000 K. What is 15,000,000 written in scientific notation?
Answer:
1.5 x 10^7
Step-by-step explanation:
move 7 times to the right to check answer 1.5000000
1.5 x [tex]10^{7}[/tex] is written in scientific notation.
What is scientific notation?Scientific notation is a manner of writing very huge or very small numbers. a range of is written in scientific notation whilst a variety of between 1 and 10 is extended with the aid of a strength of 10. As an example, 650,000,000 can be written in clinical notation as 6.5 ✕ 10^8. Created by means of Sal Khan and the CK-12 Foundation.
How do astronomers degree the temperature of the solar?The color of mild a star emits is associated with its temperature. This means we will determine the effective temperature of the solar by using measuring the amount of mild it emits at each wavelength and evaluating the ensuing spectrum we see in models.
Learn more about scientific notation here: https://brainly.com/question/27862246
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convert the repeating decimals to fractions
1:) repeating 7
?
16/9
Step-by-step explanation:1,7777777777777 =
= 1,(7)
= (17 - 1)/9
= 16/9
The l.c.m and h.c.f of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find the HCF of two numbers.
Correct question:
The LCM of two numbers is 9 times their HCF .The sum of LCM and HCF is 500 . Find the HCF of two numbers.
Answer:
The HCF of two numbers is 50.
Step-by-step explanation:
let the H.C.F of the two numbers = x
let the L.C.M of the two numbers = y
y = 9x -------equation (1)
y + x = 500 -------- equation (2)
y = 500 - x
Substitute in the value of y in equation (1)
500 - x = 9x
500 = 9x + x
500 = 10x
x = 500 / 10
x = 50
Therefore, the HCF of two numbers is 50.
Answer:
50
Step-by-step explanation:
There are 2 prime factors that are different and 2 numbers that we look for that are identical when looking for prime factors.
So for numbers that don't end in 0 like 500 we can start with 3 to get 27 as one of the two numbers, then we look to see if 27 divides into that.
But for 500 it will always be numbers that end in 0 or 5 and also 1, 2 and 4
So we work with 9+1 = 10
x = 10
500/10 = 50
What is the value of x in the equation 2(5x + 4) = 17? (5 points) a start fraction five over two end fraction b start fraction two over five end fraction c start fraction nine over 10 end fraction d start fraction 17 over 18 end fraction
In Point-Slope Form, what is the equation of the line perpendicular to y = -8x - 5 that passes through (2,-4)
Answer:
line: y = (1/8)x - 17/4
Step-by-step explanation:
To find perpendicular of line (negative reciprocal the given slope)
y = -8x-5
Perpendicular slope = (1/8)x
-4 = (1/8)(2) + b
-4 = 1/4 +b
Multiply everything by 4 to make it eaiser
-16 = 1 -+4b
-17 = 4b
b = -17/4
Tyrone ran 7 laps on he quarter mile track during practice. Which subset of real numbers would include the distance Tyrone ran at practice?
Answer:
Step-by-step explanation:
7 quarter mile laps totals 7/4 miles, or 1 3/4 miles.
1 3/4 miles is between 1 and 2, a subset of real numbers.
what is the missing length? help plssss
========================================
Work Shown:
LK = 65
LR = 52
RK = LK - LR = 65 - 52 = 13
The triangles are similar, so the corresponding sides form equal ratios
LK corresponds to RK as they are both on the same side
LK/RK is one ratio and it is equal to MK/SK
----------------
LK/RK = MK/SK
65/13 = 60/x
65x = 13*60 ... cross multiply
65x = 780
x = 780/65 ... divide both sides by 65
x = 12
SK = 12
Answer:
12
Step-by-step explanation:
RK = 65- 52= 13
similar triangle (∆RKS and ∆LKM)
[tex] \frac{13}{65} = \frac{x}{60} [/tex]
[tex]x = \frac{60 \times 13}{65} [/tex]
[tex]x = 12[/tex]
Here is a number line with some points labeled. Type the answers into the boxes below. a. Write the number
A as a fraction.
B as a decimal
C as a decimial and a fraction
Answer:
A = 2/4
B = 1.25
C = 11/4 , 2.75
Step-by-step explanation:
Select all sets in which the number - 14 is an element
A whole numbers
B. irrational numbers
C. real numbers
D. natural numbers
E integers
E rational numbers
Answer:
The answer is: Integers, Rational numbers, and Real numbers.
Step-by-step explanation:
Following are the description of the numbers:
The whole number is the collection of the natural numbers which includes 0 also.Irrational numbers are those which can't be stated as the ratio of two whole numbers. Real numbers are numbers that can be stated in an infinite decimal expansion. It contains both rational and irrational numbers.Natural numbers are those which includes only positive value except 0.Integer, whole-valued positively or negatively integer, or 0.Rational numbers are numbers that may be expressed as the quotient [tex]\frac{p }{q}[/tex]of two integers so that [tex]q\neq 0[/tex].That's why, the choice is "C, E, and F" which are Real numbers, Integers, and Rational numbers are correct.
Learn more:
Numbers: brainly.com/question/3589540
Which box-and-whisker plot represents this data: 6, 9, 13, 13, 18, 20, 22, 25, 26, 28, 30, 30 ?
do you want me to make you a box and whisker plot if so then here
A student took a survey of the class. There are 42 students in the class. The student surveyed favorite foods. 10 said hamburgers, 22 said pizza, 8 said french fries, and 2 said salad. Which percentage of the class chose pizza?
Answer:
52.38%
Step-by-step explanation:
Given that,
Total number of students in the class is 42
Out of 42, 10 like hamburgers, 22 like pizza, 8 like french fries, and 2 like salad.
We need to find the percentage of the class chose pizza. There are 22 student who like to have pizza. Required percentage is given by :
[tex]P=\dfrac{22}{42}\times 100\\\\P=52.38\%[/tex]
So, 52.38% of students chose pizza.
pls help!!
will give the brainliest!
Need explanation
Urgent!!!
Answer:
h=4 and k=-4....
Step-by-step explanation:
hopevit helps you
Step-by-step explanation:
[tex]A^2= \begin{bmatrix} 4 & 0 \\ 4 & 4 \end{bmatrix}[/tex]
Equate this to $hA + kI$
Thus,
[tex] A^2= h \begin{bmatrix} 2 & 0 \\ 1 & 2 \end{bmatrix} + k \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}[/tex]
Hence we have the following equations (by equating corresponding terms on both sides):
$2h+k=4$
$h=4$
Solve these to get $h=4$ and $k=-4$
I AM GONNA CRY PLEASE PLEASE HELP ME
You invest $5,000 dollars in an account at 1.6% interest and interest is compounded
annually (once a year).
a) Write an equation that shows the amount of money you have after x years.
b) How much money would you have after 15 years?
Part (a)
Answer: y = 5000(1.016)^x------------------
Explanation:
You use the compound interest formula
A = P(1 + r/n)^(n*t)
where
A = final amount after t yearsP = amount deposited (principal) = 5000r = decimal form of interest rate = 0.016n = number of times we compound per year = 1t = number of years = x, some unknown numberAfter plugging those values in, you would go from A = P(1 + r/n)^(n*t) to
A = P(1 + r/n)^(n*t)
A = 5000(1 + 0.016/1)^(1*x)
A = 5000(1.016)^x
Since you're using x for the input, it's possible your teacher wants you to use y for the output. So replace A with y to get y = 5000(1.016)^x
==============================================
Part (b)
Answer: 6344.18 dollars--------------------------
Explanation:
Plug x = 15 into the equation we found back in part (a). Use your calculator to simplify. Round to the nearest hundredth which is rounding to the nearest penny.
y = 5000(1.016)^x
y = 5000(1.016)^15
y = 6344.1818561953
y = 6344.18
Answer:
girlie u gotta chill
Step-by-step explanation:
Find the equation of a line through the given point A that satisfies the given condition: Point A(-2,7); parallel to the line y=-3x - 4
Answer:
y = -3x + 1
Step-by-step explanation:
slope = -3
y = mx + b
7 = -3(-2) + b
7 = 6 + b
1 = b
y = -3x + 1
which one is greater 24*36 or 18 twenty-fourths doblulded
Answer:
SO 18²⁴ IS GREATER
Step-by-step explanation:
24×36=864
18²⁴=1.3382588×10³⁰
HOPE IT WILL HELP ^_^
Answer:
24*26
Step-by-step explanation:
18/24ths doubled will result in a fraction while 24*26 is going to be an integer (864) much larger than 3/2= (18/24)*2