Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units
Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]
The breadth is the distance between (3, 2) and (3, 0):
[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
The graph below have the same shape. What is the equation of the graph?
Answer:
C
Step-by-step explanation:
The graph has been translated down 4 units and moved to the right 2 units
so correct answer is C (x-2)^2-4.
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Step-by-step explanation:
[tex]numbers \: = x \: and \: y \\ x \times y = - 12......(1) \\ x + y = 1..... ..(2) \\y = 1 - x \\ put \: this \: in \: (1) \\ x(1 - x) = - 12 \\ x - {x}^{2} = - 12 \\ - x + {x}^{2} - 12 = 0 \\ factorise \\ {x}^{2} - 4x + 3x - 12 = 0 \\ x(x - 4) + 3(x - 4) = 0 \\ (x - 4)(x + 3) = 0 \\ x = + 4 \: or \: - 3 \\ thank \: you[/tex]
rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
what is the volume of the figure. answer plz.
Answer:
Volume: 37.692 cm3
Step-by-step explanation:
1) 1/3 x 3.14 x 3 power of 2 x 4
2) 1.047 x 9 x 4
3) 37.692 cm3
Answer:
[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]
[tex]r=3cm[/tex]
[tex]h=4 cm[/tex]
[tex]volume=\pi /3\times3^{2} \times4[/tex]
[tex]=12\pi =12\times3.14[/tex]
[tex]=37.68~ cm^{2}[/tex]
-----------------------
hope it helps...
have a great day!!
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
I have absolutely no clue sorry buddy
Step-by-step explanation:
There is no step-by-step explanation
Answer:
Hi
Step-by-step explanation:
I can help you
2. Area of a rectangle 40 cm2
So. We know the area AND one of the sides of the rectangle.
We can calculate the area.
We know that area=length times width
so
A=lw
Rearrange that for w:
w=A/l
w=40:8
w=5
Now we know both l and w
Now we can calculate the perimeter
P=2a+2b
P=2(a+b)
P=2(8+5)
P=2(13)
P=26
I hope it is correct
If a^2 -b^2 =12 and a-b=4 what is the bay of a +b
Answer:
a+b = 3
Step-by-step explanation:
a = b+4
a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12
8b=-4
b = - 1/2
a = 3.5
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
:. In the diagram below, AC is congruent to CE and D is the midpoint of CE. If CE = 10x + 18, DE = 7x - 1, and BC = 9x - 2, find AB.
Answer:
25
Step-by-step explanation:
Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.
To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,
7x-1 = 1/2(10x+18)
expand
7x-1 = 5x + 9
add 1 to both sides to separate the 7x
7x = 5x + 10
subtract 5x from both sides to separate the x
2x = 10
divide both sides by 2 to separate the x
x=5
Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.
Using x=5, we know that BC = 9(5) -2 = 43
Therefore, AB = AC-BC = 68-43 = 25
D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.
Since DE = 7x-1, which also means CD = 7x-1.
CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.
Therefore, x = 5 and CE = 68.
Since AC is congruent to CE, AC = 68.
Assuming the point B is somewhere between AC.
Since BC = 9x-2 and x = 5, which means BC = 43.
AC - BC = AB, so 68 - 43 = 25.
Therefore, AB = 25
What is the answer to this question
Answer:
B - Congruent : SAS
Step-by-step explanation:
We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me ans this question,its urgent!!
I'll mark u as the brainliest!
ok this is answer any questions
There are 103 pounds of wood pieces in a bag. Each wood piece weighs 53 pounds. How many wood pieces are there in the bag?
Answer:
Approximately 2
Step-by-step explanation:
103 divided by 53 is 1.94
Round 1. 94 up to a whole number is approximately 2 wood pieces.
The marked price of a fan is Rs 1,620 and selling price is Rs 1,539. Find the discount amount.
Answer:
rs. 81
Step-by-step explanation:
given,
mp. = 1620
sp. = 1539
now,
discount = mp - s.p = 1620 - 1539 = 81
Find the size of each of the unknown angles. Help me plz
Answer:
2a+15 = 125(being alternate angle)
or,2a = 125-15
or,2a = 110
or,a = 110÷2
,a = 55
again,2a+15+b+30=180(Being co-interior angle)
or,2×55+15+b+30=180
or,110+15+30+b=180
or,155+b=180
or,b=180-155
Therfore,b=25
In the equation 17x2 = 12x, the value of c is:
O 0
O 12
O 17
The value of c is 0.
By question,
17x² = 12x
or,(17x-12):x=0
or,17x - 12 = 0#
For some tips,
In the equation 17x2 = 12x,Rewrite in factored formMove terms to the left sideCreate separate equationsHENCE PROVED ##
Use logarithmic differentiation to find the derivative of y.
y = x(x + 8) (x + 9)
Answer:
y'=3x^2+34x+72
Step-by-step explanation:
I see this has no answer and it might be too late.
It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.
Take log of both sides:
log(y)=log[x(x+8)(x+9)]
Apply product rule of logarithms on right:
log(y)=log(x)+log(x+8)+log(x+9)
Now differentiate both sides:
y'/y=1/x+1/(x+8)+1/(x+9)
Multiply both sides by y:
y'=y(1/x+1/(x+8)+1/(x+9))
Replace y with x(x+8)(x+9) -> this is from the given equation:
y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))
Distribute:
y'=(x+8)(x+9)+x(x+9)+x(x+8)
Multiply/distribute some more:
y'=x^2+17x+72+x^2+9x+x^2+8x
Combine like terms:
y'=3x^2+34x+72
Factor 60 − 36w, to identify the equivalent expressions.
Step-by-step explanation:
60-36w6(10-6w)hope it helps
stay safe healthy and happy..Answer:
all of the answers are correct
Step-by-step explanation:
If
5
3 cosα = in the first quadrant, what does cot α
equal?
Answer:
5/4
Step-by-step explanation:
To Find :-
cot a .Solution :-
By question ,
=> cos a = 5/3 = b/h
=> p = √ 5² - 3² = √ 25 -9 = 4
Therefore ,
=> cot a = b/p = 5/4
Find the total number of outcomes in each experiment. Write your answers on a sheet of paper.
1. tossing a coin
2. tossing 3 coins
3. rolling a die 10 times
4. rolling two dices
5. pressing a number key on a calculator
6. picking a card from a regular deck of cards
7. choosing a letter from the English alphabet
8. choosing a letter from the word OUTCOME
9. choosing a letter from the word PREDICTION
10. picking a crayon from a box with 36 crayons of different colors
Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
A line has slope 3 and y–intercept 4.
Answer:
1. 4x + y= 3
Step-by-step explanation:
im sure that is the right answer
Could anyone help me solve for x? I've tried multiple times and can't seem to get the answer that was given
Step-by-step explanation:
Try Photo-math app or Math-way app.
Which equation in slope-intercept form represents a line that is parallel to y=-4x-5 and passes through the points (0,0)?
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
O $22 AUD X
1.2 USD
1 AUD
O $22 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1.2 USD
1 AUD
Answer:
The answer is B
Step-by-step explanation:
B
The 22 Australian dollar in USD is 18.33.
What is currency?Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.
Given that, we need to determine that there are how many USD in 22 AUD,
So, 1.2 Australian dollars equals 1 US dollar.
Therefore,
22 AUD = 22 x 1 / 1.2 = 18.33
Hence, the 22 Australian dollar in USD is 18.33.
Learn more about currency, click;
https://brainly.com/question/14372075
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f(b) = 7b^3 +8b and g(b) = b ^2+ b - 10. What is f(b)-g(b)?
Answer:
[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]
Answer:
[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]
Step-by-step explanation:
[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]
[tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]
In a triangle ABC, a=4 cm, b=3 cm and angleC=30°, find the area of triangle ABC.
a. 6
b. 1.5
c. 3
d. 3 root 3
find perimeter of the semicircular region
Answer:
4. 87.96 yd
5. 47.12 ft
6. 34.56 cm
Step-by-step explanation:
4. diameter(d) = 28 yd,
perimeter = πd = 87.96 yd (rounded to 2 dp)
5. radius(r) = 7.5 ft
perimeter = 2πr = 47.12 ft (rounded to 2 dp)
6. diameter (d) = 11 cm
perimeter = πd = 34.56 cm
Answered by GAUTHMATH
Formula to find the perimeter of a semicircular region:
if radius given: [tex]P=2r[/tex] + [tex]\pi r[/tex] {r = radius}
if diameter given: [tex]P=d+\pi r[/tex] {d = diameter}
Take [tex]\pi[/tex] as 3.14
Q4.
Diameter = 28 yd
Radius = 28/2 = 14 yd
[tex]P=28+\pi (14)[/tex]
[tex]P=28+(3.14)(14)[/tex]
[tex]P=28+14.96[/tex]
[tex]P=42.96[/tex] yd
Q5.
Radius = 7.5 ft
Diameter = 7.5 × 2 = 15 ft
[tex]P=2(7.5)+\pi (7.5)[/tex]
[tex]P=2(7.5)+(3.14)(7.5)[/tex]
[tex]P=15+23.55[/tex]
[tex]P=38.55[/tex] ft
Q6.
Diameter = 11 cm
Radius = 11/2 = 5.5 cm
[tex]P=11+\pi (5.5)[/tex]
[tex]P=11+(3.14)(5.5)[/tex]
[tex]P=11+17.27[/tex]
[tex]P=17.27[/tex] cm
I hope this helps...
Have a great day ahead :)
PLZZ HELP I REALLY DONT WANNA GO DOWN!!!!!!!!!!!!
Answer:
see below
Step-by-step explanation: 7 1 16 15
Meal Alone = 393.16
Tax 393.16 × 0.0625 = 24.57 Recall 6.25% = 6.26 / 100 = 0.0625
Tip 393.16 × 0.18 = 70.77 Recall 18% = 18 / 100 = 0.18
Add up the three values = 488.50 Total
an easier way to do this !!!!!! use the distributive rule
393.16 ( 1 + 0.0625 + 0.18)
393.16 ( 1.2425)
Total = 488.5013 or $488.50
Choices:
One-sixth cups
Five-sixths cups
1 and two-thirds cups
1 and 5 / 6 cups
Answer:
Patel will require more orange juice = [tex]\frac{371}{660}[/tex] cups
Step-by-step explanation:
Patel needs the orange juice for his family = 3 cups
He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges
[tex]=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})[/tex]
L.C.M. of the denominators = 660
[tex]=3-\frac{572+132+297+300+308}{660}[/tex]
[tex]=3-\frac{1609}{660}[/tex]
= [tex]\frac{1980-1609}{660}[/tex]
= [tex]\frac{371}{660}[/tex]
Therefore, amount of orange juice required more = [tex]\frac{371}{660}[/tex] cups