Answer:
9.1 hours
Step-by-step explanation:
Given
Sally
Speed = 66mph
Keith
Speed = 75mph
Time = 8 hours
Required
Determine how long Sally has traveled
To solve this, we make use of Speed formula.
Speed = Distance/Time
Make Distance the subject of formula
Distance = Speed * Time
For Sally:[Substitute 66mph for speed]
Distance = 66 * Time ------ Equation 1
For Keith [Substitute 75mph for speed and 8 hours for Time]
Distance = 75 * 8
Distance = 600m----- Equation 2
From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.
Hence;
Equation 1 = Equation 2
66 * Time = 600
Time = 600/66
Time = 9.1 hours
Hence, Sally has traveled 9.1 hours
You have this information about ΔABC, ΔFDE, and ΔGIH:
AB = DF
AB = GI
BC = HI
DE = HI
m∠B = m∠D = m∠I
Which triangles must be congruent?
The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.
What is a triangle?Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.
As per the given data in the question,
Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.
Also, the angles, m∠B = m∠D = m∠I are equal.
Then by the property of the side angle side all the triangles are congruent with each other.
To know more about Triangle:
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Answer:
A. ΔABC, ΔFDE, and ΔGIH
WhAt is the area! Answer fast and please show work. I’ll give amazing rating!!!
Answer:
78
Step-by-step explanation:
A 45-45-90 triangle has sides like..
So the height of the parallelogram is 6.5
6.5 x 12 = 78
Answer:
78 in^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = ( 12) * h
We can find the height from using trig functions
tan 45 = h /6.5
6.5 tan 45 = h
A = ( 12) * 6.5 tan 45
=12 ( 6.5) * 1
=78
answer it answer it answer it
Answer:
22.5º
Step-by-step explanation:
The angle of one shaded part and one unshaded part is 90º
We have shaded part ([tex]s[/tex]) and unshaded part ([tex]u[/tex])
[tex]90\º = u+s[/tex]
[tex]$u=\frac{s}{3} $[/tex]
[tex]$90\º = \frac{s}{3} +s$[/tex]
[tex]$90\º = \frac{s}{3} +\frac{3s}{3} $[/tex]
[tex]$90\º = \frac{4s}{3} $[/tex]
[tex]$270\º = 4s $[/tex]
[tex]s=67.5\º \implies u=22.5\º[/tex]
Answer: 22.5º
Step-by-step explanation:
Jose collects baseball cards. Over the last year, the change in the value of his favorite card is $-7. Which best describes the meaning of interger?
Answer with explanation:
An integer is a whole number that can be positive, negative, or zero. For example ...-3,-2,-1,0,1,2,3....Here, positive value indicates gain or above something where as negative value indicates loss or below something.If the change in the value of his favorite card is $-7, that simply indicates that he is having a loss of $-7 that can be understand as the value of his this years card must be smaller than the last year card.
Hence, the best describes the meaning of integer:
"he is having a loss of $-7"
Will give brainliest. Find the length and measure of each arc. Show your work.
Answer:
exact arc length = 21pi
approximate arc length (using calculator) = 65.9734457253857
approximate arc length (using 3.14 for pi) = 65.94
units are in feet
============================================
Work Shown:
L = (x/360)*2*pi*r
L = (315/360)*2*pi*12
L = 21pi = exact arc length in terms of pi
If you use your calculator's stored version of pi, then L is approximately
L = 21pi
L = 65.9734457253857
Or if you end up using pi = 3.14, then
L = 21*pi
L = 21*3.14
L = 65.94
Fairly close to the other approximation though a bit off because pi = 3.14 is just a rough approximation.
Approximate 0.007349 to 3 significant figures
Answer:
Hey there!
That would result in 0.00735.
Let me know if this helps :)
Hence, the significant figures are [tex]0.00735.[/tex]
What is the approximation?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
Approximate [tex]0.007349[/tex] to significant figures
So, the significant figures are [tex]0.00735.[/tex]
Hence, the significant figures are [tex]0.00735.[/tex]
To know more about the approximation
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Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar
Answer:
321/8 ft^2
Step-by-step explanation:
The whole area is 49/4 × 5 = 245/4 ft^2
The area of tiled floor is 13/2 × 13/4 = 169/8
245/4 - 169/8 we need to equalise the bottom of fraction to subtract so
2/2 × 245/4 = 490/8
490/8 - 169/8 = 321/8 ft^2
What is the 8th term for this sequence -3, -12, -48, -192,...
Answer:
-49152
Step-by-step explanation:
The pattern is:
multiply for 4
then:
-3, -12, -48, -192, -768, -3072, -12288, -49152
A kitchen helper stacked some identical bowls into 2stacks.The height of the first stack of 6 bowls. is 16.82cm.The height of the second stack of 8 bowls in 21.2cm. A)Find the height of one bowl.
Answer:
about 2.72 cm.
Step-by-step explanation:
Since, all the bowls are identical, I just added the heights of bothe stacks together and I divided that sum by the number of bowls in each stack all added together.
16.82+21.2=38.02 cm in total height of both stacks.
8+6=14 bowls in all from both stacks
38.02 cm/14 bowls=2.71571428, or rounded, about 2.72 cm
PLEEEEEASSSEEEHELP ME 6TH GRADE MATH
Answer:
8-1
Step-by-step explanation:
theres 8 boxes they crossed off one of them, now theres 7
hi there can you please help me
[tex]t = \sqrt{ \frac{ab - s}{r + ak} } [/tex]
[tex]t=\sqrt{\dfrac{ab-s}{r+ak}}\\\\t^2=\dfrac{ab-s}{r+ak}\\\\rt^2+akt^2=ab-s\\\\akt^2-ab=-rt^2-s\\\\a(kt^2-b)=-(rt^2+s)\\\\a=-\dfrac{rt^2+s}{kt^2-b}\\\\a=-\dfrac{rt^2+s}{-(b-kt^2)}\\\\a=\dfrac{rt^2+s}{b-kt^2}[/tex]
12 divided by 458 in long division please answer correctly please help.
Answer:
600 is the missing space
Step-by-step explanation:
rate me brainliest plz
What is —4р + (- 6р) equals?
Answer
[tex] \boxed{10p}[/tex]
Step by step explanation
[tex] \mathsf{ - 4p + (- 6p)}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains the same
[tex] \mathsf{ - 4p - 6p}[/tex]
Collect like terms
[tex] \mathsf{ - 10p}[/tex]
Hope I helped!
Best regards!
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
Find the missing length. A. 60 B. 80 C. 64 D. 15
Step-by-step explanation:
the answer to the question is C. 64.
The number of boxes of cookies you buy or the amount the cookies will cost in dollars which one is independent vairable
Answer:
Step-by-step explanation:
When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.
What is the value of b?
Answer:
55°
Step-by-step explanation:
Perhaps you want the measure of angle B. (There is no "b" in the figure.)
That measure is half the measure of the intercepted arc:
m∠B = 110°/2 = 55°
Angle B is 55°.
When dividing polynomials using factorization, canceling identical factors in the denominator and the numerator will give the _______.
Answer:
quotient
Step-by-step explanation:
Answer:
quotient
Step-by-step explanation:
Cancelling identical factors in the numerator and the denominator will give the quotient. For example,x2+5x+6x+3=(x+2)(x+3)x+3 = x + 3
The diagram shows 2 straight line , PQ and QR
Find the equation of QR
Help me to explain :)
Answer:
Step-by-step explanation:
We first need to find h. Since h is the x coordinate of Q, and Q is on the line 3x + 4y = 6, we will plug in the x value of h and the y value of 3 and solve for h:
3h + 4(3) = 6 and
3h + 12 = 6 and
3h = -6 so
h = -2
The coordinates for Q are (-2, 3). Now we can use that to find the slope of the line QR:
[tex]m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1[/tex]
So the slope of QR is 1. Now we will choose one of the coordinates on line QR as our x and y coordinates to write the equation for the line in point slope form then in standard form:
y - 8 = 1(x - 3) and
y - 8 = x - 3 and
y - x = 5 or
-x + y = 5. If your teacher does not want you to lead with a negative:
x - y = -5 would be your equation in standard form.
Pks answer this attachment
Answer:
Anita's shape
Step-by-step explanation:
A shape with less number of sides will have longer sides.
Since, Anita's shape has less number of sides as compared to others.
Therefore, Anita's shape will have longest sides.
Solve 18n - 7p-15n = 5p for n.
A n = 1
B. n=2p
C. n = 1/2
D. n=4p
Answer:
The answer is option DStep-by-step explanation:
18n - 7p-15n = 5p
To solve for n first make n the subject
Group like terms
That's
18n - 15n = 5p + 7p
Simplify
3n = 12p
Divide both sides by 3 to make n stand alone
That's
3n/3 = 12p/3
We have the final answer as
n = 4pHope this helps you
Answer:
D) n = 4p
Step-by-step explanation:
18n - 7p - 15n = 5p
18n - 15n = 5p + 7p
Add like terms
3n = 12p
Divide both sides by 3
3n/3 = 12p/3
n = 4p
This diagram is a straightedge and compass construction. A is the center of one circle,
and B is the center of the other. Explain how we know triangle ABC is equilateral.
ABC is a equilateral triangle .
Proof :-
Let's assume both circles as C1 and C2 [ as shown in the figure ]
AB is the radius of circle C1 AB is the radius of Circle C2AC is the radius of circle C1.
BC is the radius of circle C2 .
AB and AC both are radius of circle C1 so both are equal ie AB = AC .
AB and BC both are radius of circle C 2 so both are equal ie AB = BC .
Hence we conclude that .
AB = BC = AC.
So the triangle is equilateral triangle.
How can I fin the remainder to 8,595 ÷ 24?
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3
Hope this helps
What type of triangles has no equal sides and one right angle?
Answer:
Scalene Right Triangle
Step-by-step explanation:
A possible type of triangle that has no equal sides and one right angle is a right triangle.
Right triangles have just one angle that is equal to 90°, and they can be either isosceles or scalene triangles.
Hope this helped!
If x = -28 and y = -51, what is -(x + y) + (x - y)?
Answer:
102
Step-by-step explanation:
-(x + y) + (x - y) = ⇒ opening parenthesis-x - y + x - y = ⇒ simplifying, x gets cancelled-2y = ⇒ replacing y with -51-2* (-51) =102 ⇒ answerPlease help with the question!!!!!
Start with the parent function [tex]y = |x|[/tex] which is a V shape graph that has its vertex at (0,0) and it is the lowest point. Every point has a positive y coordinate other than the vertex of course.
Reflect over the y axis to get [tex]y = -|x|[/tex], so now everything is negative or below the x axis, other than the vertex point.
Lastly, shift everything up 1 unit by adding 1 onto the right side getting [tex]y = -|x|+1[/tex]
Answer:
y=absolute value brackets -x end absolute value brackets +1
Step-by-step explanation:
this is the equation that matches
Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /
Answer:
1 1/7.
Step-by-step explanation:
-9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= - 9 + 10 - 2/7 + 3/7
= 1 + 1/7
= 1 1/7.
Answer:
[tex] \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}[/tex]Option B is the correct option
Step-by-step explanation:
[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]
First thing we have to do is that convert the mixed number into improper fraction .
[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]
Follow the steps:
Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominatorNow, let's do it!
[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]
⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]
When there is a ( - ) in front of an expression in the
parentheses , change the sign of each term in the expression
⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]
Convert mixed number into improper fraction
⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]
While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same
⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{8}{7} }[/tex]
Convert the improper fraction into mixed fraction.
( Since 8 is being divided by 7 , I am gonna use long division )
( See attached picture )
⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]
Hope I helped!
Best regards!!
3|2(2)-9|-2
need to evaluate the expression
Answer:
13
Step-by-step explanation:
3|2(2)-9|-2
First evaluate inside the absolute value
3|4-9|-2
3|-5|-2
Taking the absolute value of -5
3*5-2
Multiply
15 -2
13
Steps to solve:
3|2(2) - 9| - 2
3|4 - 9| - 2
3|-5| - 2
3(5) - 2
15 - 2
13
Best of Luck!
Vicky jogged 2 3/4 miles in 1/2 hour. What was her average rate of speed in miles per hour?
Answer:
5 1/2
Step-by-step explanation:
a) r=d/t
11/4x2/1= 22/4= 5 1/2
b) 1/2 hour x 2 equals one hour, so 2 3/4 x 2 equals rate per hr.
11/4x2=22/4= 5 1/2
Answer:
1 mph
Step-by-step explanation:
All you have to do is follow the formula. Distance/time=mph
Find the product of the first 3 positive integers and then the first 5 negative integers.
Answer:
PRODUCT OF FIRST THREE POSITIVE INTEGERS=6
PRODUCT OF FIRST FIVE NEGATIVE INTEGERS=(-120)
Step-by-step explanation:
PRODUCT OF FIRST THREE POSITIVE INTEGERS:
1×2×3 = 6
PRODUCT OF FIRST FIVE NEGATIVE INTEGERS:
(-1)×(-2)×(-3)×(-4)×(-5) = (-120)
Answer:
6 and -120
Step-by-step explanation:
The first 3 positive integers
= 1×2×3=6
The first 5 negative integers
= (-1 ) × (-2 ) × (-3 ) × (-4 ) × (-5 ) = -120
