Answer:
sin∅ = 12/13
Step-by-step explanation:
use pythagorean theorem to find the missing side
a² + 5² = 13²
a² = 13² - 5²
a² = 169 - 25
a² = 144
a = 12
-----------------------------
Sin∅ = opp/hyp
sin∅ = 12/13
what is 2.8436 rounded to the nearest thousandth?
Answer:
2.844
Step-by-step explanation:
2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!
Answer:
2.84
Step-by-step explanation:
2.8436 is rounded to the nearest thousands we get 2.84
Find the 40th term of the arithmetic sequence with a = 150 and a common difference of d =-4.
1.-6
2.6
3.-2
4.2
Answer:
1. -6
Step-by-step explanation:
a1 = 150
a2 = a1 - 4 = 150 - 4 = 146
a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142
...
=>
an = a1 - (n-1)×4
=>
a40 = a1 - 39×4 = 150 - 156 = -6
A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Answer:
A.) 84π | B.) 546π/5
Step-by-step explanation:
A.)
V(Cone) = πr²(h/3) where r = radius and h = height.
r = d/2 where d = diameter.
r = 12/2 = 6
V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π
B.)
84π · 0.3 = 126π/5
84π + 126π/5 = 546π/5
You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
Please help me with these questions
Answer:
okay the first questions answer is ,c,is true and rest of them are false
Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15
9514 1404 393
Answer:
infinite number of solutions
Step-by-step explanation:
The two equations describe the same line.
Adding 9y+15 to the second equation makes it be ...
15 = 6x +9y
Dividing that by 3 gives you ...
5 = 2x +3y . . . . . . identical to the first equation
The lines intersect at every point, so there are an infinite number of solutions.
A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
kathy runs a 26.2-mi;e marathon at an average pace of 6.2 minutes per mile how long will it take her to finish the marathon round your answer to the nearest minute
Answer:
162 minutes
Step-by-step explanation:
Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162
Solve 4(m-3)=24
Gggg
solution//
= 4(m-3) = 24
= 4m-12 = 24
= 4-12+12 = 24+12
= 4m = 36
= 4m = 36
4 4
= m = 9
Step-by-step explanation:
Thank you
[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]
To verify:-
[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
the equation of a circle C is (x+2)^2+(y-7)^2=36. What is its crnter (h,k)?
Answer:
The center is ( -2, 7) and the radius is 6
Step-by-step explanation:
A circle is written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x+2)^2+(y-7)^2=36
(x - -2)^2+(y-7)^2=6^2
The center is ( -2, 7) and the radius is 6
given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points
Answer:
1.
[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]
2.
[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1
Answer:
Step-by-step explanation:
From the given information:
The Directrix x = - 1
The eccentricity e = 1
Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.
Hence, the conic equation in terms of r is:
[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]
From the directrix to the pole, the distance p = 1
So;
[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]
[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]
HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!
What is h(−8) for h(x)=1/4x^2+7x?
Answer:
h(-8) = -40
Step-by-step explanation:
Find h(-8) by plugging in -8 as x:
h(x) = 1/4x² + 7x
h(-8) = 1/4(-8)² + 7(-8)
Simplify:
h(-8) = 1/4(64) - 56
h(-8) = 16 - 56
h(-8) = -40
So, the answer is h(-8) = -40
The value of h(-8) is -40.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given:
h(x)=1/4x²+7x
h(-8)= 1/4* 64+7*(-8)
= 16-56
= -40
Hence, h(-8)=-40.
Learn more about quadratic equation here:
https://brainly.com/question/2263981
#SPJ2
100 students attended a revision lesson at the weekend.
Each student went to Maths or English or Science.
55 of these students attended on Saturday.
Over the weekend a total of 40 students went to Maths.
12 of the 27 students that went to Science went on Sunday.
10 students went to English on Saturday.
How many students went to the Maths revision lesson on Saturday?
Answer:
I am pretty sure its 30 students
Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun
16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest cm.
Answer:
402 cm
Step-by-step explanation:
Given :
Radius = 4 cm
The Circumference of a circle :
C = 2πr
C = 2 * π * 4 = 8π
Spool is spun 16 times :
Circumference * 16
8π * 16
8 * 3.14 * 16
= 401.92
= 402 cm
Answer:
402 cm
Step-by-step explanation:
Write the number 2.4 in the form
A/B, using integers,
Answer:
[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]Step-by-step explanation:
Convert to simplified fraction:
Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
Convert to Mixed fraction:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.
[tex]2 \frac{4}{10} [/tex]
Reduce the fractional part of the mixed number.
[tex]2 \frac{2}{5} [/tex]
Hope it is helpful...If the first hill is 20 cm high, the second hill is 0 cm high, and the last hill is 0 cm high, how long does it take the 50 g car to reach the egg?
which numbers in the set (2, 3, 4, 5,) are solutions to the inequality 19- 4x>3
Answer:
2 and 3
Step-by-step explanation:
Given the set (2, 3, 4, 5,) and inequality 19- 4x>3
To obtain which number gives a solution, we test each value in the set ;
19- 4x>3
For x = 2
19- 4(2)>3
19 - 8 > 3
11 > 3 (true)
x = 3
19- 4(3)>3
19 - 12 > 3
7 > 3 (true)
For x = 4
19- 4(4)>3
19 - 16 > 3
3 > 3 (false )
For x = 5
19- 4(5)>3
19 - 20> 3
-1 > 3 (false)
What number must you add to complete the square? x^2+26x=23
Answer:
169
Step-by-step explanation:
x²+26x=23
=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²
<=> x² +26x + 13² = 23 + 13²
<=> x² +26x +169 = 23 + 169
<=> (x+13)² = 192
so, (x+13)² is the square form , and 169 must be added to complete the square
For 2ab to complete in (a+b)² formula
2ab=26a=1
2b=26b=13b²=169So 169 must be added
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
7 = -10s - 3 for iready
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525Finding the volume of the solid.Use unit cubes to help.
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4
Answer:
(-4) ^6
Step-by-step explanation:
(-4)*(-4)*(-4)*(-4)*(-4)*(-4)
There are six (-4)'s multiplied together
(-4) is the base and 6 is the exponent
(-4) ^6
factorise fully 16c^4p^2+20cp^3
Answer:
4cp^2 ( 4c^3+5p
Step-by-step explanation:
See image below:)
The factored form of the expression will be [tex]4cp^2 (4c^3+5p)[/tex]
Factorization:Given the expression 16c^4p^2+20cp^3
Get the factor for each term
[tex]16c^4p^2 = 4 * 4 * c^3 * c * p^2 \\20cp^3= 4 * 5 * c * p^2 * p[/tex]From the factors, you can see that 4cp^2 is common to both terms. Hence the factored form of the expression will be:
[tex]4cp^2 (4c^3+5p)[/tex]
Learn more on factored form here: https://brainly.com/question/25948667
bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question
Answer:
8038.65
Step-by-step explanation:
[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]
Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
60 feet
Step-by-step explanation:
A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²