Answer:
the ratio of the adjacent side to the hypotenuse is a function of the angle c, so we can write the symbol as cos(c) = value. 90
Step-by-step explanation: You can also see that 40 + 41 + 9 = 90. hope this helps
Answer:
9/41
Step-by-step explanation:
i just took the quiz its 9 over 41
what is the equivalent decimal to 3/16
Answer:
0.1875 :)
Step-by-step explanation:
Answer:
3/16 = 0.1875
Step-by-step explanation:
what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
Find the value of each variable in the following parallelogram - show work
Answer: x=14 y=10
Step-by-step explanation:
Can I have the answer
Answer:
to what?
Step-by-step explanation:
What linear equation in slope-intercept form does this graph represent?
y = mx + b
y = mx + 100
How to find "m" or slope:
(0,100) and (20,400)
m = (y2 - y1) / (x2 - x1)
(400 - 100) / (20 - 0)
=> 300 / 20
=> 15
so
y = 15x + 100
The linear equation in slope-intercept form that the graph represents is \(y = 15x + 100\)
The slope-intercept form of an equation is expressed as:
\(y = mx + b\)
where,
m is the slope of the graph
b is the initial value or y-intercept
To find the linear equation, determine the values of the slope (m) and the y-intercept.
Slope (m) of the graph using two points on the line, \((0, 100)\) and \((5, 175)\):
\(Slope=\frac{y_2 - y_1}{x_2 - x_1}\)
Let,
\((0,100) = (x_1, y_1)\\(5, 175) = (x_2, y_2)\)
Plug on the values into the formula:
\(slope(m)= \frac{175 - 100}{5-0} \\= \frac{75}{5} \\Slope (m)= 15\)
y-intercept (b) of the linear graph:
The y-intercept is the initial value or the point at which the line intercepts the y-axis.
The line intercepts the y-axis at \(y=100\)
Therefore, y-intercept is 100
\(b = 100\)
To write the linear equation in slope-intercept form, substitute \(m = 15\) and \(b = 100\) into \(y = mx + b\)
Thus:
\(y = 15x + 100\)
The linear equation that represents the graph in slope-intercept form is \(y = 15x + 100\)
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alan invests £1000 in a bank account with an interest rate of r% per year. after one year the value of the account is £1025.
calculate r.
Bank account with an interest rate of r% per year = 2.5%
Simple Interest :
Simple interest paid or received over a certain period is a fixed percentage of the principal amount.
Simple Interest=P×\(\frac{r}{100} }\)×T
where:
P=Principal
r= interest rate on a certain period
T= Time
Given :
Principal(P)= £1000
Time (T)= 1 Year
Find :
the interest rate per year = r%
Now,
Interest earned on account = £1025 - £1000
Simple Interest= £ 25
Simple Interest=P×\(\frac{r}{100}\)×T
25= 1000×\(\frac{r}{100}\)×1
25×100=1000r
2500=1000r
\(\frac{2500}{1000} =r\\\frac{25}{10} =r\\\frac{5}{2} =r\\2.5=r\)
r= 2.5%
the interest rate of r% per year. after one year the value of the account=2.5%
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wyatt has x nickels and y dimes. he has no more than 11 coins worth no less than $0.80 combined. solve this system of inequalities qraphically and determine one possible solution.
Answer:
x=6; y=5
Step-by-step explanation:
5x+10y=.8
x+y=11
Wyatt has 6 nickels and 5 dimes.
Given that Wyatt has X nickels and Y dimes, and he has no more than 11 coins worth no less than $ 0.80 combined, to determine one possible solution the following calculation must be performed:
11 x 0.10 = 1.10 1.10 - 0.80 = 0.30 0.30 / 0.05 = 6 11 - 6 = 5 6 x 0.05 + 5 x 0.10 = 0.80
Therefore, Wyatt has 6 nickels and 5 dimes.
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a local radio station plays 40 rock-and-roll songs during each 4-hour show. the program director at the station needs to know the total amount of airtime for the 40 songs so that time can also be programmed during the show for news and advertisements. the distribution of the lengths of rock-and-roll songs, in minutes, is roughly symmetric with a mean length of 3.9 minutes and a standard deviation of 1.1 minutes.
The sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is given as follows:
Approximately normal, with mean of 3.9 minutes and standard deviation of 0.17 minutes.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\), with mean and standard error given as follows:
Shape: approximately normal.Mean: \(\mu\)Standard error: \(s = \frac{\sigma}{\sqrt{n}}\)The population mean and standard deviation for this problem are given as follows:
\(\mu = 3.9, \sigma = 1.1\)
Hence the standard error of the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is calculated as follows:
s = 1.1/square root of 40 = 0.17 minutes.
Missing InformationThe problem asks for the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs.
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5x + 9 = 10x - 9
How do I solve this?
Step-by-step explanation:
10x-5x=9+9 (switching sides, x at one side and number at other side)
5x=18 (calculate)
x=18/5 (division by 5 on both sides)
hope this will help you ❤️
Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-x* 1-0
D A
1+
14
2
1-IS
X =
D
B. x-
= -2
O c. x = 3
-
-1+
D.x =2 1-O
E.1 4x=
.
OF.x
2
Answer:
x=-1/2
Step-by-step explanation:
using almighty formula
x= -b+or-√b²-4ac/2a
x=-1+ or -√-1+4(1)(1/4) divided by 2(1)
x=-1+ or -√-1+1 divided 2
x=-1+0 divided by 2
x=-1/2
Need help!!!!!!!!!!!
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey
There were 8 slices in the whole pizza.
How many slices were in the whole pizza if Jim ate two slices?An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =. Let us assume the number of slices in the whole pizza is "x".
Since Jim ate two slices which is 25% of the pizza, we will set up the equation:
2 = 0.25x
To solve for "x":
2 / 0.25 = x
x = 8.
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please help me thanks
Answer:
1/14
Step-by-step explanation:
What is the x - and y - intercepts of -3y = 7x - 21
Answer: x-intercept = (3,0); y-intercept = (0,7)
Step-by-step explanation:
-3y = 7x - 21
y = -7/3 x + 7 (divide both sides by -3)
y-intercept = (0,7) (y = mx + b; b is always y-intercept)
0= -7/3 x + 7 (plug in 0 for y to get x-intercept)
-7/3x = -7 (subtract 7 from both sides)
x = 3 (divide both sides by -7/3)
x-intercept = (3,0)
Translate the sentence into an equation,
Twice the difference of a number and 5 equals 2.
Answer:
2(x-5)
Step-by-step explanation:
The "difference" indicates subtraction. The difference of a number 5 would be (x-5). And twice the difference means multiplying that by two. Hence, 2(x-5)
least multiple of 2983548
Answer:
it must be 2983548×2............
round 10}982 to the neraste hundred
Nichole collected data from the basil plant in her garden. She recorded the day (x) and how much the plant had grow (y) in centimeters, on the graph
Answer:
The answer is B. Nichole's basil plant started at 1 cm and grew 3 cm each day.
The equation is y = 3x +1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Nichole's basil plant started at 1 cm and grew 3 cm each day.
The equation is y = 3x +1
1) Matching.
The United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
____________a. Select the linear equation in standard form for three unknowns:
____________b. The United States won 46 gold medals and the same number each of silver and bronze medals. Select the relationship between the number of silver to bronze medals in an equation of two unknowns.
_____________c. With the information given in b, solve the linear equation in a for the number of gold, silver, and bronze medals won.
a. =g + s + b=104
b. =g=29, s=46, b=29
c. =g=b
d. =s=b
e =-g=46, s=29, b=29
f. =g + s + b=100
The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s and the solution is g=46, s=29, b=29
How to select the linear equation in standard form for three unknowns?
(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:
g + s + b = 104
(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:
g = 46
s = b
Thus, the relationship between the number of silver to bronze medals is s = b
(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:
g + s + b = 104
46 + b + b = 104
46 + 2b = 104
2b = 104 -46
2b = 58
b = 58/2
b = 29
Also, s = 29 (Remember: s = b)
Thus, g = 46, s =29, b = 29
Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
The diameter of the Sun is about 1.4 x 106 km. The diameter of the planet
Venus is about 12,000 km. What is the approximate ratio of the diameter of the Sun to the diameter of
Venus?
Answer:
1.17*10²
Step-by-step explanation:
Diameter of the sun is about 1.4 × 10⁶ km
1.4*10⁶ km = 1,400,000
Diameter of the planet venus is about 12000 km
12000 km = 1.2 × 10⁴
Ratio of the diameters
Sun : Venus
1.4 × 10⁶ km : 1.2 × 10⁴
1.4 × 10⁶ km / 1.2 × 10⁴
1.4 / 1.2 × 10^6-4
1.166 × 10²
Approximately
1.17 × 10²
find the value of X.
(√32)²= (X+2)²+x
Answer:
Answer:x=−6.274917217635375,1.2749172176353745
Step-by-step explanation:
(3(2))2=(x+2)2+x12=x2+5x+4
Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0
For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745
a recycling bin contains 4 kg of glass and 500 g of plastic what is the ratio of glass to plastic in the bin?
Answer: 8:1
Step-by-step explanation:
Since there are 1000 grams in 1 kilogram, we can start by converting the 4 kg of glass to kilograms.
4 x 1000 = 4000, so this means that we have 4000 grams of glass in the bin.
So right now, the ratio of the glass in the bin to the plastic in the bin is 4000:500.
We can simplify: Start by dividing 100 from both numbers. Now, your ratio will look like this: 40:5. We can simplify even further, so divide 5 from both sides to get the ratio 8:1.
I hope this helps!
The number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
Answer:
Step-by-step explanation:
Range is largest value - smallest value. 12-3=9! EZ
What is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
A pole that is 3 m tall casts a shadow that is 1.23 m long. At the same time, a nearby building casts a shadow that is 42.75 m long. How tall is the building? round your answer to the nearest meter.
Answer:
Hello,
Just using the theorem of Thalès,
Step-by-step explanation:
Let say h the hight of the building
\(\dfrac{h}{3} =\dfrac{42.75}{1.23}\\\\h=104.268296...\approx{104(m)}\)
Help please!!! I need answers!!!
Answer:
a)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I know for sure.
12+84=96
12*1=12
12*7=84
Do creative people make better teachers? Ten teachers at a large university were given a creativity test (scores range from 0 to 20, with higher scores indicating greater creativity) and were evaluated regarding teaching performance by students and peers (a score of 100 indicates an average performance, and larger scores indicate better performance). The creativity scores and teaching performance scores are given below.
Answer:
The answer is "0.898"
Step-by-step explanation:
Using the command in any cell that is" =CORREL(I5:I14, J5:J14)" throughout the I5:I14 its value is the creativity scores that is the J5:J14 which is the value of the performance of the score, that gets the correlation coefficient that is equal to 0.897886. Hence, the correlation of the coefficient = 0.898
Find the sum.
19+(-19)
19+(-19)=0
Step-by-step explanation:
So first lets simplify this. We can use the method keep,change, change to do this. Keep the value of positive 19. Then change the + sign to - and the - sign to plus which gets us
19-(+19).
We can remove the +since we know its positive leaving 19-19 which is 0
84.4% of what number is 19.412?
Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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