Answer:
a = zm
Step-by-step explanation:
z = a/m for a
Multiply all sides by m
zm = a or a = zm
Example:
2 = 6/3
in this case, z = 2, a = 6, and m = 3
We would multiply z(2) and m(3) to get a(6)
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The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?
Answer: 220 feet tall
Step-by-step explanation:
1. Draw!
2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)
Answer:
The building is 220 ft tall
Step-by-step explanation:
Express 0.00506 in standard form
Answer:
[tex]5.06 x 10^{-3}[/tex]
Step-by-step explanation:
Move decimal 3 place to right.
Because the decimal was moved to right, the exponent is negative.
In an A.P the term is -10 and the 15th term is 11 and the last term is 41. Find the sum of all terms in this progression.
This is equivalent to the fraction 1085/2
===============================================================
Explanation:
AP stands for "arithmetic progression", which is another name for "arithmetic sequence"
a1 = -10 is the first term
the 15th term happens when n = 15, so
an = a1 + d*(n-1)
a15 = -10 + d(15-1)
a15 = 14d-10
Set this equal to 11 (the stated 15th term) and solve for d
a15 = 11
14d-10 = 11
14d = 11+10
14d = 21
d = 21/14
d = 3/2
d = 1.5 is the common difference
Let's find the nth term
an = a1 + d(n-1)
an = -10 + 1.5(n-1)
an = -10 + 1.5n - 1.5
an = 1.5n - 11.5
-------------------------------
The last term is 41, so we'll replace the 'an' with that and solve for n
an = 1.5n - 11.5
41 = 1.5n - 11.5
41+11.5 = 1.5n
52.5 = 1.5n
1.5n = 52.5
n = (52.5)/(1.5)
n = 35
So the 35th term is 41.
-------------------------------
We're summing n = 35 terms from a1 = -10 to an = 41
S = sum of the first n terms of arithmetic progression
S = (n/2)*(a1 + an)
S = (35/2)*(-10+41)
S = 542.5
The 35 terms add up to 542.5 which is the final answer
As an improper fraction, this converts to 1085/2
2.The school chess club is selling T-shirts for a profit of $4 each and baseball caps for a profit of $5 eac The club wants to sell 50 items and make a profit of $230. Calculate how many of each item the chess club needs
Step-by-step explanation
They sold $480 of tshirts, the ratio is 480;20, simplified to 24:1.
One shirt is $20, but $4 is the amount taken from 20 for the equipment.
Multiply $24 by the $4 taken for the equipment. (Equals $96)
They make 4/20 (1/5) of the the sales as a profit for equipment.
Multiply 1/5 by 480 and you will get $96 as the club's profits.
I hope this helped ya
The chess club needs 20 T-shirts and 30 baseball caps.
What is Profit?Profit is a term that often refers to the financial gain that a company receives when revenue exceeds costs and expenses. A child at a lemonade stand, for example, spends one quarter to make one cup of lemonade. She then charges $2 for the drink. Her profit on a cup of lemonade is $1.75.
Given :
Total no. of items to be sold = 50
Total profit to be made = $230
Profit on each T-shirt = $4
Profit on each Baseball cap = $5
Let no. of t-shirts be x
Let no. of t-shirts be y
Forming equations according to given problem :
Eq 1 : x + y = 50
Eq 2 : 4x + 5y = 230
Multiplying Eq 1 with 4 we get : 4x + 4y = 200
Subtracting Eq 1 from Eq 2
Solving Eq1 and Eq2 we get x = 20 and y = 30.
Therefore, The chess club needs 20 T- shirts and 30 baseball caps.
To learn more about profits, refer to :
https://brainly.com/question/1078746
#SPJ2
Which of the following is true?
(A)The baby is male/female is determined by mother’s chromosome.
(B) The baby is male/female is determined by father’s chromosome.
(C) Pair of Mother’s chromosome is X-Y .
(D) Pair of Father’s chromosome is X-X .
Answer:
(B) The baby is male/female is determined by father’s chromosome.
Step-by-step explanation:
Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.
Answer:
hi i hope it helps you
Step-by-step explanation:
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and have a nice day.
Can someone please just help me fill in those three boxes I’ve been struggling
Can someone help me with this math homework please!
Find square root of 0.0324
Answer:
0.18
Step-by-step explanation:
2X. (3x - 2y + 4z) con proceso porfavor, ayuda
[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]
[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]
Espero que te sea de ayuda.
De los 30 balones de un colegio, dos quintos son de fútbol, un tercio de baloncesto y el resto de voleibol. ¿Cuántos balones de voleibol hay en el colegio? ayuda es para hoy ;(
Answer:
Number of Volleyballs = 8 balls
Step-by-step explanation:
Given:
Total number of balls = 30 balls
Fraction of soccer ball = 2/5 balls
Fraction of basketball = 1/3 balls
Rest are Volleyballs
Find:
Number of Volleyballs
Computation:
Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs
Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)
Number of Volleyballs = 30 - 12 - 10
Number of Volleyballs = 30 - 22
Number of Volleyballs = 8 balls
Divisibility rules with algebra
Answer:
D=8
Step-by-step explanation:
normal division rules
33 goes into 47 1 time
then it leaves 17D
if we divide 170 by 33, we get 5 and if we divide 179 by 33, we still get 5. So we have 17D-165. That leaves us with something that you multiply 33 with to have a 2 in the ones place so that you get a remainder of 2. (In order to get 2 in the remainder, we need a 2 in the ones place because 4-2=2. In order to get that we need to see which number multiplied with 33 would get us a number smaller than 179 but also has a 2 in the ones place. Theres only one number and thats 4. 33*4=132. So in order to get only 2 in the remainder, we need the rest to be subtracted. This means that 17D-165=134. This way we can see that D=8
Please help out with this question..
Answer:
Step-by-step explanation:
C = 16 * 3 = 48
Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.
Answer:
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
Step-by-step explanation:
Test if the proportion of odd numbers is significantly different from 50%.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion differs from 0.5, that is:
[tex]H_1: p \neq 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]
Two thousand numbers are selected randomly; 960 were even numbers.
This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]
[tex]z = -1.79[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.
Looking at the z-table, z = -1.79 has a p-value of 0.0367
2*0.0367 = 0.0734
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
How do I simplify this? With steps please :)
Answer:
[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]
What is the measure of angle x? Please help asap! Khan academy question!
Answer:
38°
Step-by-step explanation:
90-58
I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI
Answer:
[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]
Step-by-step explanation:
From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.
*Vertical angles are two lines that intersect each other.*
So ∠BAC is equal to ∠IAK.
[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°
(Interior angles in a triangle always add up to 180°).
[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]
[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]
[tex]\tt \angle BCA=32^{\circ}[/tex]
∠BCA and ∠x are vertical angles, therefore they are congruent.
∠BCA and ∠x= 32°
______________________________________can someone help me with this ? please and thank you
Answer:
(a), (c) and (d)
Step-by-step explanation:
Required
Which is linear
A linear function is represented as any of:
[tex]y = mx + b[/tex]
[tex]y - y_1= m(x - x_1)[/tex]
[tex](a)\ 8x - 3y = 2[/tex]
Rewrite as:
[tex]- 3y = -8x+2[/tex]
Divide by -3
[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear
[tex](b)\ y = |x - 4|-7[/tex]
This is an absolute function. It is not linear
[tex](c)\ y + 8=5(x - 4)[/tex]
By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear
[tex](d)\ y = -7[/tex]
by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]
Others are not linear
Let f(x) = 3x − 2 and g(x) = x + 1. Find (g ∘ f)(2).
Help plsssssssssssssssss
Answer:
(g ∘ f)(2) =5
Step-by-step explanation:
f(x) = 3x − 2
g(x) = x + 1
(g ∘ f)(2).
Find f(2) = 3(2) -2 = 6-2 = 4
Then find g(4) = 4+1 = 5
Can someone help me with this math homework please!
Answer:
4
Step-by-step explanation:
A line with 0 slope is parallel to x axis and it must have the same y coordinates
Answer:
4
Step-by-step explanation:
( 3, b ) and ( - 2, 4 )
x1 y1 x2 y2
Here,
x1 = y1 = 0
x2 = - 2
y2 = 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 4 - b ) / ( - 2 - 3 )
0 = ( 4 - b ) / - 5
4 - b = - 5 x 0
4 - b = 0
4 = b
b = 4
order the set of irrational numbers from least to greatest
Answer:
answer is A
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#Dhruv hereThe triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)
ds
Given the velocity v =
dt
and the initial position of a body moving along a coordinate line, find the body's position at time t.
v = 9.8t + 12, s(0) = 20
Answer:
so the answer is I don't know
cos 39 degrees =57/x
Answer:
x = 73.35
Step-by-step explanation:
Here, we want to find the value of x
We can get this by simply re-arranging the equation
we have this as follows;
x = 57/cos 39 degrees
x = 73.35
Given m
n, find the value of x.
הון
n
.
80°
Answer: =
Submit Answer
PLS HELP
Answer:
x + 80°= 180° ( angles made in straight line)
x = 180°-80°
x = 100°
hope it is helpful to you
Answer:
check ur Answer in the attachment .
At what x-value are the equations equal?
Answer:
x=2 is the answer to your question
If the discriminant of an equation is zero, which of the following is true of the equation?
[tex]\sf Your \: question \: is \: incomplete. \: [/tex]
______________________
[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹
[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]
[tex]\boxed{ \sf{Explanation}} [/tex]
[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]
Answer:
see explanation
Step-by-step explanation:
If b² - 4ac = 0
Then the roots are real and equal
What is the name for the marked angel ?
Answer:
A
Step-by-step explanation:
Answer:
The answer is <ead
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PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):
O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet
Answer:
36
Step-by-step explanation:
Answer:
36 feet
Step-by-step explanation:
I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%
Please hurry I will mark you brainliest
What is the equation of the line with a slope of -3 and a y-intercept of 4?
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1, −3), B′(−5, −1), and C′(−9, −6). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x I NEED HELP PLS The answer choies are: A. Reflection across the x-axis B. Reflection across the y-axis C. Reflection across y = x D. Reflection across y=−x
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
A number is equal to three times the smaller number also the sum of the smaller number and four is the larger number situation is graft on the coordinate plane below where X represents the smaller number and Y represents the larger number which two equations represent the situation
Answer:
this question is missing needed information