the cost is decreased by 5%.... ..
...
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.
Answer:
The answer is 11.6 cm
Step-by-step explanation:
The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)
Now we must input 16 cm into c and 11 cm into either a or b.
a^2+11^2=16^2 which is equal to a^2+121=256.
subtract 121 from both sides to get a^2 by itself
a^2+(121-121)=(256-121)
a^2=135
to get "a" by itself, we must find the square root of 135.
√a^2=√135
a=11.6
A person at rest typically takes 720 breaths in an hour.At this rate,how many breaths does a person take in 15 minutes?
Answer:
180
Step-by-step explanation:
Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I
Answer:
yes a 1/4 probability is 0.25
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
find the zeros of the function f(x) = (x+3)^2-4=0
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
O No correlation
Answer:
Negative Correlation
Step-by-step explanation:
Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.
explain how to plot the point (-5.5, 3) and identify which quadrant it is in
Answer:
well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2
estimate the area of the following irregular shapes
Answer and Explanation: We will find the area of the given shape:
To find the area, we will count the number of squares of the shaded area.
While calculating the area for a more accurate estimate, we count the square as “1” if the shaded region covers more than half of each square. By counting the squares, the area is approximately 50 square units.
Which statement is correct?
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Hope this helps! :D
The x and y axis are negative what's the quadrant or axis
Answer:
Need more information
If you want put a graph or explain more your question
Trignometry plzz helpppp asappp
Answer:
[tex]x\approx4.5[/tex]
Step-by-step explanation:
In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]
[tex]6.7tan(34^\circ)=x[/tex]
[tex]x=6.7tan(34^\circ)[/tex]
[tex]x\approx4.5[/tex]
4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation:
Triangle XYZ is shown on the coordinate plane below:
Answer:
(4, -3)
Step-by-step explanation:
X is 4 units away from y=1, so 4 units further away is -3. The Y value of the point stays the same.
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.
The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.
The given parameters are:
[tex]Pencils = 2400[/tex] --- the pencils needed
The number of pencils the prism can hold is:
[tex]Prism =60[/tex]
Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)
[tex]n_1 = \frac{Pencils}{Prism}[/tex]
So, we have:
[tex]n_1 = \frac{2400}{60}[/tex]
[tex]n_1 = 40[/tex]
A rectangular prism costs $0.50.
So, the total cost is:
[tex]Total\ cost = 40 \times 0.50[/tex]
[tex]Total\ cost = \$20[/tex]
The number of pencils the cylinder can hold is:
[tex]Cylinder=80[/tex]
Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)
[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]
So, we have:
[tex]n_2 = \frac{2400}{80}[/tex]
[tex]n_2 = 30[/tex]
A cylinder costs $0.75.
So, the total cost is:
[tex]Total\ cost = 30 \times 0.75[/tex]
[tex]Total\ cost = $22.5[/tex]
By comparison, the rectangular prism costs $2.5 less than the cylinder
Hence, the true statement is (a)
Read more about volumes at:
https://brainly.com/question/1908836
pls help Pls no links
Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Como se faz o cálculo 13÷5,2
a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?
Answer:
6.2
Step-by-step explanation: TOOK THE TEST
Which function has only one x-intercept at (−6, 0)?
f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)
Answer:
D: f(x) = (x+6)(x+6)
Step-by-step explanation:
The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.
For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
Learn more about infinite sum of geometric series here:
https://brainly.com/question/16037289
Please help me I have no idea what I'm doing :(
Answer:
x = (-b ± √b² - 4ac)/2a
Step-by-step explanation:
I need help with solving this with synthetic division
Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step-by-step explanation:
Set up the synthetic division.
Bring down the leading coefficient to the bottom row.
Multiply c by the value just written on the bottom row.
Add the column created in step 3.
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
Find 20%of $2500 what is the answer
Answer:
20% of 2500 is 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
We need to determine 20% of 2500 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2500.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2500 = 100%.
Step 4: In the Same way, x = 20%.
Step 5: On dividing the pair of simple equations we got the equation as under
2500 = 100% (1).
x = 20% (2).
(2500%)/(x%) = 100/20
Step 6: Reciprocal of both the sides results in the following equation
x%/2500% = 20/100
Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500
x = 500%
Therefore, 20% of 2500 is 500
leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces
Step-by-step explanation:
we need to find how much 14/70 is equal to ? over 100
100/70=1.42857142857
14x1.42857142857=20
Therefore she drinks 20/100 she drinks before she goes on a ride.
or 20%
it's 20
I got it right on iready
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr
B 66,000 kg km/hr
C 21.8 kg km/hr
D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible
Please help me with the math below
Answer:
A. $4.25 per 1 kg of spice
B. 60 : 40 = 3 : 2
Step-by-step explanation:
200 g = 0.2 kg (÷100)
unit price formula: cost ÷ quantity
0.85 ÷ 0.2 = 4.25
set a proportion;
60 3
---- = ---
x 2
3÷60 = 0.05 2
2 ÷ 0.05 = 40
x = 40
hope this helps!
4/5=x/100 solve please
Answer:
x = 80
Step-by-step explanation:
4/5 = x/100
100 · 4/5 = 100 · x/100
100 · 4/5= x
80 = x
x = 80
Hence, The Answer is 80.