Answer:
The submarine is 14.28 kilometers away from its base.
Step-by-step explanation:
Given that a submarine travels 8.6 km due North from its base and then turns and travels due West for 11.4 km, to determine how far away is the submarine from its base the following calculation must be performed, applying the Pythagorean Theorem:
8.6 ^ 2 + 11.4 ^ 2 = X ^ 2
73.96 + 129.96 = X ^ 2
√203.92 = X
14.28 = X
Therefore, the submarine is 14.28 kilometers away from its base.
when you double 1 + 1 what's the answer
A bag contains 6 red marbles, 4 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answer:
Total number of marbles = 18
Number of green marbles = 8
Number of ways to choose 3 green marbles = [tex]8C_3[/tex]
Number of ways to choose 3 marbles from the total 18 marbles= [tex]18C_3[/tex]
Probability 0f choose 3 green from 18 marbles
= [tex]\frac{8C_3}{18C_3}[/tex]
= 0.0686 = 6.9%
GIVING OUt BRAINLIEST HELP PLSSS
Answer:
Step-by-step explanation:
135 degrees
brainly plz
2) Which choice best represents the length of a toothbrush? A. 18 kilometers
B. 18 centimeters
C. 18 meters
D. 18 millimeters
Answer:
B 18 centimeters
Step-by-step explanation:
18 cm represents the length of the toothbrush.
What is the greatest common factor of 12 and 20?
OA) 2
O B) 3
4
D) 6
Answer:
4
Step-by-step explanation:
You can divide both numbers by four and get an even answer
Answer:
4
Step-by-step explanation:
Ashleigh wants to find the volume of her green house. The green house is the shape of a rectangular prism. It has a length of 18 feet and a width of 12 feet, but she cannot measure the height. She can tell that it is about half measurement of the length. Describe the steps Ashleigh should take to get an estimate of the volume.
9514 1404 393
Answer:
1944 ft³ using the estimated height
Step-by-step explanation:
Ashleigh can use her estimate of the height, along with the other dimensions, in the volume formula to get an estimate of the volume.
V = LWH
V = (18 ft)(12 ft)(9 ft) = 1944 ft³
Of number 4, 6, 8, determine which number is a solution of the inequality 5 + c < 10
answer:
4 is the answer to the question
Solve for x.
39 = 3х
A countries population in 1993 was 253 million. In 1999 it was 237 million. Estimate the population in 2007 using the exponential growth formula. round your answer to the nearest million.
Note: When solving for k, round to four decimal places.
Answer:
240 million
Step-by-step explanation:
I took the application
3^3-2^2•(7-3)-45
Someone please help !
Answer:
-34 jjjjjjjjjjjjjjjjjjjjj
Which phrase best describes the figure below?
Answer:
B.
Step-by-step explanation:
It only has one base and it's a pentagon. Therefore, it's a pentagonal pyramid.
2. What is the length of PR?
P
R
45
7.
Answer:
Step-by-step explanation:
cos 45 = 7/x
x cos 45 = 7
x = 7/cos 45
x= 7 sqrt(2)
A. Directions: Find the surface of the following. Round your answer to nearest
hundredths. (Use n = 3.14) Write your answer in your notebook.
1) cone with radius of 15 cm and slant height of 12 cm
2) cone with radius of 8 cm and slant height of 11 cm
3) sphere with radius of 3.2 cm
4) sphere with diameter of 6 cm
Answer:
1. S.A of a cone = 565.56 cm².
2. S.A of a cone = 276.496 cm².
3. S.A of a sphere = 128.696 cm².
4. S.A of a sphere = 113.112 cm².
Step-by-step explanation:
Given the following data;
1. Radius, r = 15cm
Slant height, l = 12cm
Mathematically, the surface area of a cone is given by the formula;
Surface area of a cone = πrl
Substituting into the formula, we have;
S.A of a cone = 3.142 * 15 * 12
S.A of a cone = 3.142 * 180
S.A of a cone = 565.56 cm²
2. Radius, r = 8cm
Slant height, l = 11cm
Surface area of a cone = πrl
S.A of a cone = 3.142 * 8 * 11
S.A of a cone = 3.142 * 88
S.A of a cone = 276.496 cm²
3. Radius, r = 3.2 cm
Mathematically, the surface area of a sphere is given by the formula;
Surface area of a sphere = 4πr²
Substituting into the formula, we have;
S.A of a sphere = 4 * 3.142 * 3.2²
S.A of a sphere = 4 * 3.142 * 10.24
S.A of a sphere = 40.96 * 3.142
S.A of a sphere = 128.696 cm²
4. Diameter, d = 6cm
Radius, r = diameter/2 = 6/2 = 3 cm
Surface area of a sphere = 4πr²
S.A of a sphere = 4 * 3.142 * 3²
S.A of a sphere = 4 * 3.142 * 9
S.A of a sphere = 36 * 3.142
S.A of a sphere = 113.112 cm²
Solve the quadratic equation by completing the square. x2+6x+7=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas.
Answer:
x^2+6x-4=0 x^2+6x=4 x^2+6x+9=13 (x+3)(x+3)=13 x+3=+or-(13^1/2) x=-3+or-13^1/2
Step-by-step explanation:
sry if im wrong :< if im right, can i have brainliest? have a wonderful day/night :D
What is the value,in degree, of y
Answer:
y = 122º
Step-by-step explanation:
x + z = 116
x = z
2x = 116
x = 58
x + y = 180
58 + y = 180
y = 180 - 58
y = 122º
Send helppppppppp!!!!
Answer:
2
Step-by-step explanation:
Answer:
f( -8 ] =512; f {4}-3
Step-by-step explanation:
Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.
Answer:
Step-by-step explanation:
Lauren took her cat Tommy to the veterinarian, who said
that at 22 pounds, Tommy was overweight. The vet put
Tommy on a diet, and two months later, the cat weighed
19 pounds. What was the percent of change in Tommy's
bodyweight?
Answer:
15.79
Step-by-step explanation:
11
Solve for A, B, and C:
3
a
<
26°
b
C
Answer:
A = 154°
B = 26°
C = 154°
Step-by-step explanation:
✔️A = 180° - 26° (angels on a straight line)
A = 154°
✔️<B and 26° are vertical angles. Therefore,
B = 26° (based in the vertical angles theorem, vertical angles are congruent to each other)
✔️C = A (based in the vertical angles theorem, vertical angles are congruent to each other)
Substitute
C = 154°
Question 10 of 20 : Select the best answer for the question. 10. Complete the comparison: 17 > ? O A. 18 O B. 1 O C. 17 D. 39
Answer:
B. 1
Step-by-step explanation:
17 is not greater than 18
17 is greater than 1
17 is equal to 17
17 is less than 39
try
y =
COS
X +
y
5
3
2
3:20
22
5-7
371
-1 -2
-3
5
There is a ratio of 5 girls to 3 boys in the choir Where are 24 boys in the choir how many girls are in the choir?
Answer:
The are 40 girls in the choir.
Step-by-step explanation:
First you set up an equation:
5/3=x/24
Then solve the inequality:
5 * 24 = 120
120 / 3 = 40 girls.
Hope this was helpful!!! Please mark me as brainliest!!!! XD
Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n rectangles. Calculate the approximation for each of the given function and interval below. (You may use calculator and keep the final numerical answer in decimals for this question) (a) (3 pts) R5, f(x) = x 2 + x on the interval [−1, 1]
Answer:
[tex]R_5=1.12[/tex]
Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:
[tex]f(x)=x^2+x[/tex]
On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:
[tex]\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}[/tex]
List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:
[tex]\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12[/tex]
So 12 divided by 30 = 12 divided by (? X?)
9514 1404 393
Answer:
6 × 5
Step-by-step explanation:
If you want to reduce the fraction 12/30, you want to find the greatest common factor of 12 and 30. We can find that by looking at the prime factorization of each number.
12 = 2·2·3
30 = 2·3·5
The greatest common factor is 2·3 = 6. This means ...
[tex]\dfrac{12}{30}=\dfrac{12}{6\times5}[/tex]
The product of interest is 6 × 5.
_____
Additional comment
Any of the factor pairs of 30 could be used. Only the one shown is useful for reducing the fraction to lowest terms.
30 = 1×30 = 2×15 = 3×10 = 5×6
35 points
(algebra one)
describe and correct the error in comparing the graphs
If $2940 is invested at 3.2% compounded quarterly, how much is in the account after 8 years?
Answer:
The future value is $3793.776
Step-by-step explanation:
Given
[tex]PV = 2940[/tex] --- present value
[tex]r = 3.2\%[/tex] --- rate
[tex]t = 8[/tex] --- time
[tex]n = 4[/tex] --- quarterly
Required
Determine the future value
This is calculated using:
[tex]FV = PV(1 + \frac{r}{n})^{nt[/tex]
So, we have:
[tex]FV =2940 * (1 + \frac{3.2\%}{4})^{4*8[/tex]
[tex]FV =2940 * (1 + \frac{3.2}{400})^{32[/tex]
[tex]FV =2940 * (1 + 0.008)^{32[/tex]
[tex]FV =2940 * (1.008)^{32[/tex]
[tex]FV =2940 * 1.2904[/tex]
[tex]FV =3793.776[/tex]
question in the image
A container holds 24 liters of sports drink. How many 1.5-liter bottles can be filled from the container?
Can someone do these questions 1-3 please i have an F in math now :/
Scientists are studying a bacteria sample. The
function f(x) = 245(1.12) gives the number of
bacteria in the sample at the end of x days.
Which statement is the best interpretation of one of
the values in this function?
The initial number of bacteria is 12.
The initial number of bacteria decreases at a rate of 88% each
day.
The number of bacteria increases at a rate of 12% each day.
The number of bacteria at the end of one day is 245.
The best interpretation of one of the values of the function is that the rate increases by 12% each day.
Step-by-step explanation:
Given:
F(x)=245(1.12)^x
To Find:
statement is the best interpretation of one of the values of the function
Solution:
Depending upon the values given the statement can be developed
As the function is itself the exponential growth structure ,
In this the statement ,Growth can be significantly depends on all factor
Such as time period initial value and rate.
But here the formula is simplified as ,
Here A= initial value r=rate and t =time period
Here A=245 and 1+r=1.12
i.e r=0.12 i.e 12%
Hence the rate give the best interpretation and more information about the function and scenario.