Answer:
19.2m
Step-by-step explanation:
"Slice" the rectangle into two right triangles (slice along the diagonal). Now you can use the Pythagorean theorem to calculate the length of the diagonal:
[tex]a^{2} +b^{2} =c^{2} \\12^{2}+15^{2} =c^{2} \\144+225=c^{2} \\\sqrt{369} =\sqrt{c^{2} }\\19.2m =c[/tex]
Mr X invested R20000 at 10% interest compounded annually for 5 years and Mrs X invested the same amount R20000 at 10% simple intetest for 5 years Who will get more return on investment between Mr X and Mrs X show calulations
Answer:
Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment
Step-by-step explanation:
a) Mr X Return
We have the compound interest formula as;
V = P(1 + r)^t
V is the value yielded after some certain amount t
Where P is the amount invested = R20,000
r is the yearly interest rate = 10/100 = 0.1
t = 5 years
so we have;
V = 20,000(1 + 0.1)^5 = R32,210.2
b) Mrs X return
We use the simple interest formula here;
A = P + I
I = PRT/100
where P, the principal is the amount invested = R20,000
R = 10%
T = 5 years
I = (20,000 * 10 * 5)/100
I = R10,000
A = R20,000 + R10,000
A = R30,000
Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment
HELP PLEASE.. Which of the following functions is graphed below?
Simplify 4(3 − 2) − 7( + 5) Show work
Answer:
- 31
Step-by-step explanation:
4(3 − 2) − 7(5)
Subtract 3 - 2
4(1) - 7(5)
Multiple -7 and 5
4 - 35
Subtract 4 - 35
The correct answer is -31.
The simplified form of 4(3 − 2) − 7( + 5) is -31.
To simplify the given expression, using (PEMDAS/BODMAS) and simplify each part step by step.
4(3 − 2) − 7( + 5)
First, simplify the expressions inside the parentheses:
3 − 2 = 1
+ 5 = 5
then, the expression becomes:
4(1) − 7(5)
Next, let's perform the multiplications:
4(1) = 4
7(5) = 35
The expression now becomes:
4 − 35
Finally, let's perform the subtraction:
4 − 35 = -31
Therefore, the simplified form of 4(3 − 2) − 7( + 5) is -31.
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Bonus 6: Find the Total Area 10 11.4 18 1 9 24
9514 1404 393
Answer:
1328.4 square units
Step-by-step explanation:
The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.
The area of each trapezoidal base is ...
A = 1/2(b1 +b2)h
A = 1/2(10 +24)(9) = 153 . . . . square units
__
The total area of the four rectangular faces is ...
A = bh . . . . area of one face
A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4
So, the total area is ...
SA = 2×base area + face area
= 2×153 +1022.4 = 1328.4 . . . . square units
HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc WVY
Answer:
c. 250
Step-by-step explanation:
In your own words, explain why the ratios 3:2, 6:4 and 9:6 are all equivalent
ratios.
Answer:
because in lowest term it's ratio is same
Step-by-step explanation:
hope you understand
Answer:
The ratios of 3:2, 6:4, and 9:6 are all equivalent because when you divide the numerator over the denominator, you get the same result for all of them. This means that if we took 3/2 and got 1.5, and took 6/4 and got 1.5 as an answer, and took 9/6 and got 1.5 as an answer as well, we would have the same answer for all of them. This is why (in my own words) the ratios are all equivalent.
please help. Thank you
Answer:
The length of side x is [tex]x = \sqrt{6}[/tex]
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:
[tex]a^2 + b^2 = h^2[/tex]
In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so [tex]a = b = x[/tex].
Hypothenuse is the square root of 12. So [tex]h = \sqrt{12}[/tex]
[tex]x^2 + x^2 = (\sqrt{12})^2[/tex]
[tex]2x^2 = 12[/tex]
[tex]x^2 = \frac{12}{2}[/tex]
[tex]x^2 = 6[/tex]
[tex]x = \sqrt{6}[/tex]
The length of side x is [tex]x = \sqrt{6}[/tex]
Plsssss help plsssssss
How many lines intersect at point O?
A.2
B.1
C.4
D.3
Answer:
C. 4 because line o serve as the vertex for each angle there.
Find csc 0, sin 0, and cot 0, where is the angle shown in the figure. Give exact values, not decimals approximations. (LISTING BRAINLEST PLZ I NEED HELP)
Answer:
see explanation
Step-by-step explanation:
first fill out all sides of the triangle (use pythagorean theorem).
9^2 = 4^2+x^2
x^2 = 81-8 --> x^2 = 73 --> x = √73
csc theta --> hyp/opp
sin theta --> opp/hyp
cot theta --> adj/opp
hyp = 9, adj = 4, opp = √73
csc = 9/√73 --> 9√73/73
sin = √73/9
cot = 4/√73
If a = 5, then what is the value of -(-a)?
Answer:
5
Step-by-step explanation:
It will remain 5 because two negatives make a positive.
-(-5) = 5
Hope this helps.
Answer:
5 ( REMEMBER TWO NEGATIVES MAKE A POSITIVE)
Step-by-step explanation:
When there is a - in front of an expression in parentheses, change the sign of each term in the expression 5
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
Answer:
Step-by-step explanation:
We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:
[tex]-16t^2+112t>192[/tex] We will move the constant over and get
[tex]-16t^2+112t-192>0[/tex] and when you factor this you get that
3 < t < 4
Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.
Answer:
its A
Step-by-step explanation:
got it right
Disolvemos 45 g de amoniaco en 500 g de
agua. Calcula el porcentaje en masa de la
disolución
it would be photosynthesis because of the flowers
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12
Solve the following algebra
4-3(6)-1
Answer:
-15Step-by-step explanation:
4-3(6)-1
= 4 - 18 - 1
= 4 - 19
= -15 (Ans)
I would appreciate if someone could answer this question:)
Answer:
x = 1
Step-by-step explanation:
Recall: adjacent angles supplementary
Therefore,
65x + 115° = 180°
Subtract 115° from each side
65x + 115° - 115° = 180° - 115°
65x = 65
Divide both sides by 65
65x/65 = 65/65
x = 1
Marcus drew a circle on his coordinate plane at (4,3) in which quadrant of the coordinate plane did Marcus draw in the circle?
Answer:
It should be in quadrant 1
Step-by-step explanation:
The quadrants of a coordinate plane can be counted counter-clockwise starting from quadrant 1, if you know the exact point you're trying to find, you can use the x and y to figure out which quadrant it's in.
If the x and y values are both positive, the point is in quadrant 1.
If the x value is negative and the y value is positive, the point is in quadrant 2.
If the x and y values are both negative, the point is in quadrant 3.
If the x value is positive and the y value is negative, the point is in quadrant 4.
Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation. (GIVING POINTS AND BRAINLEST TO BEST ANSWER)
Answer:
0 = 67,38013505
Step-by-step explanation:
Tan (0) = 12/5 (Use calculator this part)
Then 0 = 67,38013505
Insert a digit to make the number divisible by 24 if possible:
44_8
pls help
Answer:
it's 4488 Wich would make 187
Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?
Answer:
the answer is 3800mm.because 1m is 1000mm
Full as shown in the photo Integra
WHAT IS THIS
AM CONFUSEDDDD
DO YOU NEED HELP WITH HOEMWORK
Currently offering 100 points.
The dot plots below show the ages of students belonging to two groups of music classes:
Based on visual inspection, which group most likely has a lower mean age of music students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.
Answer:
a ?
Step-by-step explanation:
Answer:
I'm pretty sure it's A? makes more sense
The missing number in the arithmetic sequence 60, 51,
33 is:
43.
41.
ОООО
40.
42.
Step-by-step explanation:
missing where ?
I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).
if that is true, then the missing element is 42.
the difference between 60 and 51 is 9.
the difference between 51 and 33 is 18.
if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).
so, it would be 51 -9 = 42
A planet has a circumference of approximately 39,750 km. with this circumference, what is it's radius?
the radius of the planet is_____ (round to the nearest integer as needed)
use the measurement above to determine the length of an arc from the North Pole of the planet to the Equator.
Answers:
radius = 6326 kmdistance from north pole to equator = 1582 kmThese values are approximate
=============================================================
Explanation:
The circumference formula is
C = 2*pi*r
which rearranges to
r = C/(2pi)
when solving for r.
Plug in the given circumference to find that
r = C/(2pi)
r = (39,750)/(2pi)
r = 6,326.40898790283
For the sake of the most accuracy possible, I'm using my calculator's stored version of pi (and not something like pi = 3.14); if your teacher requires you to use pi = 3.14 then follow those instructions of course.
The radius is roughly 6326 km when rounded to the nearest integer.
Keep in mind that the earth isn't a perfect sphere, but rather a slightly squished one. This means the earth is slightly fatter than it is tall. However, for the sake of this problem, we'll assume it's a sphere.
------------------------
Once you determine the circumference, aka distance around the circle, we can figure out the next problem: determining the distance from the north pole to the equator. This distance runs along a line of longitude, so it's a north-south distance.
Again, imagine the earth is a perfect sphere. This means that the equator circumference is the same as the circumference as a full longitude line when we travel the globe only along that line. In other words, start at the north pole, travel along that specific longitude only until you reach the south pole. Then staying on that line, travel back to the north pole going around the backend of the earth.
That full circular path we traveled will get cut into 1/4 because 1/2 the circumference is the portion from north to south pole, and then we cut that distance in half when going from north pole to the equator.
(1/4)*(6,326.40898790283) = 1,581.6022469757
That rounds to 1582 km
------------------------
Side notes:
39750 km = 24700 miles (approximate)6326 km = 3931 miles (approximate)1582 km = 983 miles (approximate)To convert from km to miles, you divide by roughly 1.609344In a recent survey of gun control laws, a random sample of 564 women, 313 favored stricter gun control laws. In a random sample of 588 men, 307 favored stricter gun control laws. Can it be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
Answer:
The p-value of the test is 0.1314 > 0.05, which means that it cannot be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
Step-by-step explanation:
Before solving the question, we need to understand the central limit theorem, and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Test if a lower proportion of men favor stricter gun control than women:
At the null hypothesis, we test if the proportion is the same, that is, the difference of the proportions if 0. So
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, we test if it is less, that is, the subtraction of the proportions is negative. So
[tex]H_1: p_M - p_W < 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
In a recent survey of gun control laws, a random sample of 564 women, 313 favored stricter gun control laws.
This means that:
[tex]p_W = \frac{313}{564} = 0.555[/tex]
[tex]s_W = \sqrt{\frac{0.555*0.445}{564}} = 0.0209[/tex]
In a random sample of 588 men, 307 favored stricter gun control laws.
This means that:
[tex]p_M = \frac{307}{588} = 0.522[/tex]
[tex]s_M = \sqrt{\frac{0.522*0.478}{588}} = 0.0206[/tex]
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_M - p_W = 0.522 - 0.555 = -0.033[/tex]
[tex]s = \sqrt{s_M^2+s_W^2} = \sqrt{0.0206^2+0.0209^2} = 0.029[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.033 - 0}{0.029}[/tex]
[tex]z = -1.12[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion difference greater than 0.033, which is the p-value of z = -1.12.
Looking at the z-table, z = -1.12 has a p-value of 0.1314.
The p-value of the test is 0.1314 > 0.05, which means that it cannot be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
Write an equation of a function with each domain:
a. [ 2 , ∞ )
b. ( -∞ , ∞ )
Answer:
a. [ 2 , ∞ )
Step-by-step explanation:
Boxers in the nineteenth century used their bare fists. In modern boxing,
fighters wear padded gloves. How do gloves protect the brain of the boxer from
injury?
Answer:
boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security
Candice cycles 2 kilometers during each trip to work. How many trips will Candice have to
make to cycle a total of 4 kilometers?
Answer:
2
Step-by-step explanation:
Please help image attached
A) is -4 a solution to this inequality
B) choose the correct inequality
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 27 and 28? Round your
answer to the nearest tenth of a percent.
A. 10.3%
B. 9.3%
C. 11.3%
D
12.13%
Answer:
D,p
Step-by-step explanation:
whattttttt ,why is there no option in D
The Probability that a data value is between 27 and 28 is 9.3%.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,
Here, mean of the data is 26
P(0 ≤ x - μ ≤ σ/2) = 0.195
P(0 ≤ x - μ ≤ σ/4) = 0.0987
P(σ/4 ≤ x - μ ≤ σ/2) = 0.093
Thus, the Probability that a data value is between 27 and 28 is 9.3%.
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