Answer:
base = 8 m
Step-by-step explanation:
base = (2* area) ÷ height
[tex]= \frac{2*36}{9}[/tex]
= 2 * 4
= 8 m
PLEASE HELP ME SOLVE THIS.
STEP-BY STEP
THANK YOU !!!
I really don't know how to calculate this question.
(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)
Answer:
[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].
Step-by-step explanation:
An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:
[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].
Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:
[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].
By this identity:
[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].
([tex]A = 30^\circ[/tex] in this instance.)
Hence:
[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].
[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
3) Determine the greatest common factor between
Xy2 and x6y2
Answer:
it would be GCF= xy^2
Step-by-step explanation:
because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2
This is due today!
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 3 degrees per hour. If it continues to fall at this rate, what will the temperature be in 2 hours, and in 5 hours
Answer:
in 2hrs = -6°C
in 5hrs = -15°C
in half an hr = -1.5°C
Step-by-step explanation:
in an hr, the temperature falls by 3°C = 0 -3 = -3°C
in 2hrs = 2*-3°C = -6°C
in 5hrs = 5*-3°C = -15°C
in half an hr = 0.5 * -3°C = -1.5°C
Step-by-step explanation:
Answer:
Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at 15 degrees.
Step-by-step explanation:
3+2 5+3
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
2100
Step-by-step explanation:
25 minutes you need to know that 60 sec =1 hour.35x60=2100
Consider the figure below in which 411122.
a b
cld
4
elf
12
gh
Select the angle(s) that are congruent to Zc.
Options
Answer:
its a and d
Step-by-step explanation:
Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?
Answer:
$375
Step-by-step explanation:
If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.
What is the solution to this system of equations? 4x + 5y = 7
3x – 2y =-12
The solution is
(-2, 3)
(3.-1)
(18. -9)
(13,-9)
Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Help please mathematical answer pleas and I need it fast
Answer:
I gave the answer right for this
This data is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a
function at all
Answer:
a nonlinear function I think because it's a quadratic one?? kinda
HELP PLZZZ HELP I’ll give u BRAINLY
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
plz answer ASAP tysm !
Answer:
I already did
Step-by-step explanation:
Please help take a look at this photo will give Brainly
Answer:
60 degrees
Step-by-step explanation:
On the diagram, we can see that the two angles have a dash on each of them. This means that they have the same measure.
So, if angle ABD is 60 degrees, then angle DBC would also be 60 degrees.
I hope this helps!
Please help I’ll mark you as brainliest if correct !!
v=10 e=5
2v divided by e + 4
The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?
Answer:
The length of the hypotenuse is 37cm
Step-by-step explanation:
we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.
a=1/2bh
210=1/2(12)h
210=6h
h=35cm
now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:
12^2+35^2=c^2
c^2=144+1225
c^2=1369
c=37
so, the hypotenuse is 37cm
The length of the hypotenuse is 21.22 cm
How to determine the hypotenuse?The given parameters are:
Area = 210
Base = 12
Start by calculating the height using:
Height = Area/Base
This gives
Height = 210/12
Divide
Height = 17.5
The hypotenuse is then calculated using:
Hypotenuse = √(Base^2 + Height^2)
This gives
Hypotenuse = √(12^2 + 17.5^2)
Evaluate
Hypotenuse = 21.22
Hence, the length of the hypotenuse is 21.22 cm
Read more about right triangles at:
https://brainly.com/question/23814470
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56
Answer:
b
Step-by-step explanation:
which graph represents the function f(x)=4|x|?
Answer:
I think this is what the graph looks like.
Step-by-step explanation:
I hope this helps.sorry if it's wrong.
Answer:
it will go through the points (-1, 4), (0,0), and (1, 4)
Step-by-step explanation:
Helpppppppp plsss ASAP math look at picture for details
solving steps for 2/3(9+x) = -5(4-x)
Answer:
x = -6
Step-by-step explanation:
2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)
6 + 2/3x = -20 -5x ( add 20 on both sides)
26 + 2/3x = -5x ( minus 2/3x on both sides)
26 = -4.6x (divided -4.6x on both sides)
-5.6 = x ( round up)
-6 = x
hope this helps
Can someone pls help with this
Answer: 4
Step-by-step explanation:
Can someone help me with this?
Answer:
do you still need help?
Step-by-step explanation:
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?
Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Find AB. Round the answer to the nearest tenth if needed.
9514 1404 393
Answer:
8
Step-by-step explanation:
The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...
AD² = AB·AC
144 = AB(AB +10)
We can add 25 to complete the square.
169 = (AB +5)² . . . write as a square
13 = AB +5 . . . . . . positive square root
8 = AB . . . . . . . . . .subtract 5
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:
a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)
Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
Which option identifies the systematic error in the following scenario?
Mary is measuring the weight of an object using a scale. The scale reads 2 lbs. too high for the first measurement she takes. When she takes the measurement again using the same steps, the scale again reads 2 lbs. too high.
A.) The error cannot be predicted to occur.
B.) The error can be reproduced.
C.) The error in measurement is estimated.
D.) The error amount fluctuates.
Answer:
B the error can be reproduced
Carey is mixing a pitcher of lemonade. The table below shows how many tablespoons of lemon juice should be added to different amounts of water to make lemonade.
How many tablespoons of lemon juice should Carey add to 18 cups of water?
t/15=3 what operation is that?
Answer:
t = 45
Step-by-step explanation:
[tex]\frac{t}{15} = \frac{3}{1}[/tex]
t × 1 = 15 × 3
t = 45
add 8 and 17, double the sum, and then subtract three
Answer:
Hello There!!
Step-by-step explanation:
The answer is 47 as (18+7)×2-3=47.
hope this helps,have a great day!!
~Pinky~
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution for the statement "add 8 and 17, double the sum, and then subtract three" can be done as,
2(8+17) - 3
= 47
Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2