Answer:
Unit rate = 0.414 mph
Step-by-step explanation:
Distance travelled = 212 miles
Time taken = 512 hours
[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{212}{512} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.414 \: mph (miles \: per \: hour)[/tex]
Answer:
53/128 mph
Step-by-step explanation:
Unit rate is essentially just asking for the number of miles Chen can bike in only 1 hour. That's what "unit" means - 1.
Here, we know that Chen can bike 212 miles in 512 hours, so let's set up a proportion:
[tex]\frac{212mi}{512hr} =\frac{x}{1hr}[/tex] , where x is the number of miles Chen can bike in 1 hour
Cross multiply:
512x = 212
Divide by 512:
x = 212 / 512 = 53/128 miles
So, Chen's unit rate is 53/128 mph.
Leta is making strawberry almond salad for a party for every head of lettuce that she uses she adds 5 ounces of almonds and 10 strawberries if she uses 75 ounces of almonds how many heads of lettuce and how many strawberries does leta use
Angle
C
CC is inscribed in circle
O
OO.
A
B
‾
AB
start overline, A, B, end overline is a diameter of circle
O
OO.
What is the radius of circle
O
OO?
Answer:
An inscribed angle is defined as the half of its intercepted arc. It's important to notice that the subtended arc by angle C is 180°, because it's have of the total arc length.
[tex]C=\frac{1}{2} (180\°)=90\°[/tex]
Therefore, angle C is a right angle.
Now, in the image attached you can notice that triangle ABC has one acute angle of 46° and one right angle. We already know that the sum of all three internal angles of a triangle must be equal to 180°.
[tex]90\° + 46\° + B=180\°\\B=180\° - 46\° - 90\° = 44\°[/tex]
On the other hand, notice that the diameter of the circle represents the hypothenuse for the right triangle. To find the hypothenuse, we need to know the length of one leg at least.
Therefore, there's no enough information to find the hypothenuse, which implies we can't find the diameter/radius.
Answer:
90 degrees
Step-by-step explanation:
What are the first digits of PI
Answer:
3.14
Step-by-step explanation:
Answer:
Here's the first 200 digits of pi 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819
Step-by-step explanation:
The cost of 2 markers and 5 pencils is $3.25. The cost of 4 markers and 6 pencils is $5.50.
What is the cost of each item?
Answer: markers are a dollar each and pencils are twenty five cents each
Step-by-step explanation:
2x1 = 2
5x.25 = 1.25
2+1.25= 3.25
4x1 = 4
6x.25= 1.50
4+1.30 = 5.50
Hope this helps and if you need me to explain it better feel free to ask!
Given triangle ABC with coordinates A(−5, 4), B(−5, 1), and C(−7, 0), and its image A′B′C′ with A′(−1, 0), B′(−4, 0), and C′(−5, −2), find the line of reflection. NEED ASAP WILL CROWN BRAINLIEST
What is the equation for this parabola (located above) in vertex form?
Answer:
f(x)=x²-2x-2
Step-by-step explanation:
f(x)=ax²+bx+c
f(0)=-2 => c= -2
f(1)= -3=> a+b-2=-3; a+b=-1
f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0
a+b=-1 and 2a+b=0
2a+b-(a+b)=0+1=> a=1
2+b=0=> b=-2
f(x)=x²-2x-2
what is the answer of simplify 9^2/9^7
Answer:
0.00001693508
Answer:
Step-by-step explanation:
9^2/9^7= 1/9^(7-2) = 1/9^5
Are the triangles similar? If so, what is the scale factor going from the top triangle to the bottom triangle?
Answer:
yes, 1.5
Step-by-step explanation:
The ratios are equal. Then the triangle ΔRPQ is similar to the triangle ΔVAQ. And the ratio is 2: 1. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides are given as,
RP / AV = PQ / AQ
6 / 3 = 8 / 4
2 = 2
The ratios are equal. Then the triangle ΔRPQ is similar to the triangle ΔVAQ.
Thus, the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ6
The complete question is given below.
Are the triangles similar? If so, what is the scale factor of ΔRPQ to ΔVAQ?
A)NO
B)YES; 2:1
C)YES; 2:3
D)YES; 3:4
Find the measures of two angels one positive and one negative that are coterminal with pie-7
Answer:
15pi/7 - 13 pi/7
Step-by-step explanation:
to find a positive and negative coterminal angle
● add and subtract 2pi to the given angle
pi/7+2pi=pi/7+14pi/7=15pi/7 positive
pi/7-2pi=pi/7-14pi/7= -13pi/7 negative
OK so I need help on this trigonometry problem, I need it by June 3rd HELP ME PLZ!
I asked my teacher and he said it's not a right triangle at all,
You must create a triangular Animal pen that covers 40 square yards however it has to contain a 30-degree angle. Give the lengths of two sides of a triangle that include the angle but has an area of 40 sq yards.
Answer:
a=16 b =10 or any other combination that gives 160
a = 20 b=8
a = 32 b = 5
Step-by-step explanation:
The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C where a and b are sides and C is the angle.
A =40 = 1/2 ab sin 30°
sin 30° = 1/2 so
40 = 1/2*ab*1/2
40 =1/4 ab multiply each side by 4
160 = ab
any combination of sides that gives you 160 will work
Let's check if a=16 b =10
A = 1/2*16*10 sin 30°
A = 1/2*160*1/2
A = 40
first correct answer gets 10 points!! hurry
Step-by-step explanation:
The area of a parallelogram is b * h, where b is the base and h is the height. We'll call the height x and the base x + 4, and we know that this is equal to 45.
x (x + 4) = 45
x² + 4x = 45
x² + 4x - 45 = 0
(x + 5)(x - 4) = 0
x = -5, 4 → x = 4 (no negative sides)
Therefore, base is 8 and height is 4. Hope this helps!
In the figure below, BD and AC are diameters of circle P.
What is the arc measure of major arc DBC in degrees?
Answer:
mDBC = 341 °
Step-by-step explanation:
Arc DBC is almost the whole circle, if you were to exclude the degree measure of minor arc DC; which is, in other words m∠ DPC
Now by Vertical Angles Theorem:
m ∠ DPC = m∠ APB, ⇒ provided BD, and AC are diameters
m∠ DPC = 19°
This would mean ⇒
mDBC = 360 - m∠ DPC,
mDBC = 360 - 19,
mDBC = 341 degrees ( ° )
Solve for x
-5(2x+1)-2x-2=17
solve the inequality 5x + 3 ≥ 48
Answer:
x=9
Step-by-step explanation:
48-3=45
5x=45
45/5=9
The value of x in the given inequality will be equal or smaller than 9,
x ≤ 9
What is an inequality ?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality 5x + 3 ≥ 48
Solving for x,
5x + 3 ≥ 48
Subtract 3 from both side, that will reverse the sign,
5x ≤ 45
Divide both sides by 5,
x ≤ 9
Hence, the value of x will be equal or smaller than 9, x ≤ 9
Learn more about inequality, click;
https://brainly.com/question/30231190
#SPJ2
I NEED HELP can anyone help me, please??
Answer:
8x - 24 + 4x = 180
12x - 24 = 180
12x - 24 + 24 = 180 + 24
12x = 204
12x / 12 = 204 / 12
x = 17
∠NOP = 4(17)
= 68°
Step-by-step explanation:
Answer:
it might not be on the choice but i got 38.
Step-by-step explanation:
since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so
8x-24+4x=90
12x-24=90
12x=90+24
12x=114 (divide both sides by 12)
x=9.5
since you asked for<NOP=4*9.5=38.
A cone has a height of 15 cm and a radius of 10 cm. What is the volume?
Answer:
1570.796~
Step-by-step explanation:
v= πr² h/3
r is radius
h is height
v is volume
v=π*10² 15/3
v=π*10² *5
v=π*100 *5
v=π*500
v=1570.796~
18x= -252 PLEASE HELP!!!!
Answer:
x = - 14
Step-by-step explanation:
18x = -252
18x/18 = - 252/18
x = - 14
Answer:
[tex]=-14[/tex]
Step-by-step explanation:
[tex]18x=-252\\\mathrm{Divide\:both\:sides\:by\:}18\\\frac{18x}{18}=\frac{-252}{18}\\Simplify\\\frac{18x}{18}=\frac{-252}{18}\\\mathrm{Simplify\:}\frac{18x}{18}:\quad x\\\frac{18x}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{18}{18}=1\\=x\\\mathrm{Simplify\:}\frac{-252}{18}:\quad -14\\\frac{-252}{18}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{252}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{252}{18}=14\\=-14[/tex]
4. At the ACME store you buylrubber chickens for $15, they are originally
$20. What percent of the total did you pay for the rubber chickens? *
Answer:
75 percent
Step-by-step explanation:
.75 times 20 =15 therefore it is .75 or 75%
What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen of Hearts?
Answer:
1 / 663
Step-by-step explanation:
First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.
There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.
The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =
1 / 663. Hope this helps!
5l³-10l²
can someone please explain how to factorize with indices
Answer:
[tex]5\:l^2(l-2)[/tex]
Step-by-step explanation:
[tex]5\:l^3-10\:l^2\\= 5\:l^2\times l-5\:l^2\times 2\\= 5\:l^2(l-2)... ( 5\:l^2\: are \: common)[/tex]
Jim and Krutika are marking exam papers. Each set takes Jim 50 minutes and Krutika 1 hour. Express the times Jim and Krutika take as a ratio.
Give your answer in its simplest form.
Answer:
5:6
Step-by-step explanation:
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses.
16, 8, 15, 5, 6, 20
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
If you could help me that would be great! I guess I am having a really big brain fart! But anyway, if you do THANKS!
Answer:
11.67
Step-by-step explanation:
16+8+15+5+6+20=70
70 divided by 6= 11.666666666667
11.666666666667= 11.67
Answer:
11.666666667 - rounded would be 11.67
Take away the 6 or 7. Can't remember
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Is it possible to draw the triangles described?
Answer by writing possible Or impossible.
1.An equilateral triangle with sides measuring 8cm, 9cm and 10 cm,
____________________
2. A scalene triangle with sides measuring 7 in,7in,and 8 in.
__________________
Answer:
Impossible for both
Step-by-step explanation:
Equilateral triangle= all sides equal
Scalene triangle= all sides not equal
Can someone help me with this work
Step-by-step explanation:
1) x - 1 = - 11
x = - 11 + 1
x = - 10
2) 9k = 54
k = 54/9
k = 6
3) 14 + r = 16
r = 16 - 14
r = 2
Answer:
X= -10
K= 6
R= 2
Step-by-step explanation:
You first want to isolate the variable and make sure that whatever you do to one side of an inequality or equation you must do to the other.
Can you please help please please help me with this question please and i will give you a Brainiest
25% discount means we pay 100% - 25% = 75% of the original price.
Relationship between sale price and regular price?
SalePrice = (1 - 25/100) × RegularPrice
Sale price is 75% of regular price.
What is the surface area of a cylinder? Express the answer in term of x
D=8cm h=18cm
Answer:
the surface area is 552.92
Step-by-step explanation:
Answer:
[tex]552.92 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
2
π
r
h
+
2
π
{r}^{2}
\\
=
2
·
π
·
4
·
18
+
2
·
π
·
{4}^{2}
\\
≈
552.92031
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Consider the word grateful. If all of the letters are used, how many ways can the letters he arranged?
Answer:
Step-by-step explanation:
gratefulgrategulfratetareartagrateraggeteataleatelegrugteafategategaegul (idk about his one. it is a scrabble word tho)leateraAnswer:
40320
Step-by-step explanation:
All you have to is take 8 times 7 times 6 times 5 times 4 times 3 times 2 times 1 and you get 40320
Yeah so I need to know x
Answer:
150°
Step-by-step explanation:
It's opposite angles so we need to do:
Angle F to B = angle G to A
130+20 = 150°
Find the perimeter of the sector. With an angle of 110 degrees and a radius of 8
Answer:
49 / 9π + 16
Step-by-step explanation:
So 110 / 360 = 11 / 36
The circumference of the circle is 16π
11 / 36 * 16 = 44 / 9π
44 / 9π + 8 + 8 is the answer since you gotta add the sides.
This might be wrong so check my steps.
Find the HCF of 12, 48 and 60
Answer:
12 = 2 × 2 × 3
48 = 3 × 2 × 2 × 2 × 2
60 = 3 × 2 × 5 × 2
Thus HCF = 2 × 2× 3 = 12
Answer: the answer is 12 hope it helps
Step-by-step explanation: