Step-by-step explanation:
There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.
Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.
13.5 X 1.609 = 21.7215.
Round down to 21.7.
Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.
MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x and y$y$y . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40 and is equal to 50$=\ 50$= 50 . Question 2 $x\ =$x = and $y\ =$y =
The value of x and y is 2 and 11.5
The sum of the interior angle of a triangle is 180 degrees.
Since LMN and PQR are similar, hence:
m<L = m<P
m<M = m<Q
m<N = m<R
Given the following parameters
m< L = 40 degrees
m<M = 90 degrees
m<P = 17x - y
m<R = 2x + 4y
Get the measure of m<N
m<M + m<N + m<L = 180
90n+ m<N + 40 = 180
m<N = 180 - 130
m<N = 50degrees
Since m<P = m<L, hence;
17x - y = 40 ....... 1
Also m<R = m<N
2x + 4y = 50 .......... 2
Solve simultaneously
17x - y = 40 ....... 1 * 4
2x + 4y = 50 .......... 2 * 1
___________________________
68x - 4y = 160
2x + 4y = 50
Adding both equations
68x + 2x = 160 + 50
70x = 210
x = 2
Substitute x = 3 into the equation 2x + 4y = 50
2(2) + 4y = 50
4 + 4y = 50
4y = 50 - 4
4y = 46
y = 46/4
y = 11.5
Hence the value of x and y is 2 and 11.5
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Which of the following expressions has the greatest value?
Answer:
[tex](0.1)^2[/tex]
Step-by-step explanation:
The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.
Hey there!
Option A.
0.01^4
= 0.01 * 0.01 * 0.01 * 0.01
= 0.0001 * 0.0001
= 0
Option B.
0.1^4
= 0.1 * 0.1 * 0.1 * 0.1
= 0.01 * 0.01
= 0.0001
Option C.
0.01^3
= 0.01 * 0.01 * 0.01
= 0.001 * 0.01
= 0.00001
Option D.
0.1^2
= 0.1 * 0.1
= 0.01
“ 0.01 > 0.0001 > 0.00001 > 0”
Therefore, your answer should be: 0.1^2 (option D)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Divide 2200kg in the ratio 5: 6.
Answer:
i have no idea1233930494
1.
What is the sum of
4 |
22 (1 point)
+
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3
011
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IN IN NII am |
0
0 0
Answer:
B. One whole number one over two. 1½
Solve forx2x=8Give your answer as a fraction in its simplest form.
Answer:
x=4
Step-by-step explanation:
2x=8
÷2
x=4
if you want a fraction then 4/1 which is the same thing as saying 4
can someone please help me! :)
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Answer:
sdd
Step-by-step explanation:
seds
If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.
Answer:
0,3,6, and 30
Step-by-step explanation:
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd
Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
__% of 15 is 6 hellp mee
Answer:
40%
Step-by-step explanation:
6 divided by 15 times 100 = 40
Answer:
40
(40%)
Step-by-step explanation:
6 / 15 = 0.4
0.4 * 100 = 40%
We can check this by doing 40% times 15;
15 * 0.4 = 6 ✓
It checks :D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The 5th term of an arithmetic sequence is 30, while the 13th term is 70
Answer:
a = 10
d = 5
Step-by-step explanation:
[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]
a + 4d = 30 ------------------(I)
[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]
a + 12d =70 -------------(II)
Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d
(I) a + 4d = 30
(II)*(-1) -a - 12d = -70 {Now add}
- 8d = - 40
Divide both sides by (-8)
d = -40/-8
d = 5
Plugin d = 5 in equation (I)
a + 4*5 = 30
a + 20 = 30
a = 30 - 20
a = 10
What percent of the bottle of apple juice is water?
percent of water is: 32/80*100= 40%
Use the information given to enter an equation in standard form.
(27,31) and (37,45) are on the line.
WHATS THE ANSWER TO THIS??
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: [tex]\frac{45-31}{37-27} = \frac{14}{10} = 1.4[/tex]
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
Please solve these.
You will get all of my points if you get all of them correct
Answer:
Step-by-step explanation:
1) Area of triangle= 1/2 x b x h
b = 7.6cm h= 3.4cm
Area= 1/2 x 7.6 x3.4 = 12.92cm²
2)Divide the shape into a triangle and a rectangle
Area of rectangle : l x b
L= 20cm, b= 7cm
= 20 x 7 = 140 cm²
Area of triangle =1/2 x b xh
B = 20cm, h= 16 - 7 = 9cm
1/2 x 20x 9= 90cm²
Total area = 140 + 90 = 230cm²
3) area of triangle = 1/2 x b x h
B = 12cm, h= 5cm
= 1/2 x 12 x 5 = 30cm²
4) area of triangle = 1/2 x b x h
B = 15cm, h= 8cm
= 1/2 x 15 x 8 = 60cm²
5) divide the shape into two rectangles; the lower and the upper
Area of rectangle= l x b
Upper rectangle, l= 10cm, b= 27 - 9 = 18cm
Area= 10 x 18= 180cm²
Lower rectangle, l= 24cm, b= 9cm
Area = 24 x 9= 216cm²
180 + 216 = 396cm²
Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?
Pete saw that he was 200 yards from shore when he dove out of the boat. It took him 49 seconds to swim the first 50 yards. At that rate, how much longer will it take to reach the shore?
tysm<3
Answer:
147 seconds to get to the shore(after the 49 seconds)
Step-by-step explanation:
If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds
for minutes, just divide by 60
What is the sum of the 5th square number and the 3rd cube number?
Answer:
5²+3³= 25+27=52
Step-by-step explanation:
hope it helps you
help plz 25 pts due i five mins
Answer:
B) <
Step-by-step explanation:
Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.
Hopefully that's helpful! Good luck on your quiz. :)
What is the best estimate for the volume of a jug of milk?
Answer:
3.785 litres
Step-by-step explanation:
Rachel has a $23,000 six year loan with APR of 7.25%
Answer:6,000 is the answer
Step-by-step explanation:
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answer:
first one my sister tried itStep-by-step explanation:
Pls answer the questions, I would really appreciate it, thx, :)
Answer:
7V
The average amount of minutes exercised on each day
Step-by-step explanation:
We are given that every day "V" amount of vegetables are eaten everyday.
If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V
E = ( M + W + F ) / 3
M = # of minutes exercised on Monday
W = # of minutes exercised on Wednesday
F = # of minutes exercised on Friday.
Note that to find the average of something you find the sum of the values and divide that by the number of values.
The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answer:
5 cups of flour need to make two cakes
help me pls with math
Answer:
d
Step-by-step explanation:
If Mike has 3/4 a cup of butter and it is 2 pounds, how many pounds would a whole cup of butter be? Please add how you got the number. (Step by Step) Thanks!
Answer: 2.666... pounds
Step-by-step explanation:
Because 3/4 of a cup is 2 pounds, we can divide 2 by 3 to get how much 1/4 of a cup weighs.
2/3 = 0.666...
Multiply that by 4 to get 4/4 (1) and you get:
4 * 0.666...
= 2.666...
2.666... pounds
What is the stimated difference of 31,523 - 23,589
Answer:
8000 (Estimated) and the real difference would be 7934
Step-by-step explanation:
An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
Steps for 4-6h-8h=60
Answer:
To solve for h, isolate the “h” on one side of the equation.
Combine like terms on the left sides (h). When combing like terms add and subtract as normal and attach the variable.
4-14h=60
Subtract 4 from both sides.
-14h=56
Divide both sides by -14.
h=-4
Hope this helps! :)
Answer:
h = -4.
Step-by-step explanation:
4-6h-8h=60
4-4-6h-8h = 60-4
-14h = 56
h = 56/-14
= -4.
Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
What is the change in the amount of liquid in the tub after 1/3 minute?
Enter your answer as a fraction in lowest terms in the box
Answer:
Step-by-step explanation:
The amount of water in the bathtub per minute:4/9-8/9=-4/9;
liquid after:1/3* (-4/9)=-4/27
If the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
The rate of net flow of the water = Water outgoing - Water ingoing
The rate of net flow of the water = 8/9 - 4/9
The rate of net flow of the water =4/9
The change in the amount of liquid in the tub after 1/3 minute is,
=4/9 × 1/3
=4/27
Thus, if the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.
Learn more about the fraction here:
brainly.com/question/1301963
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