Answer:
48
Step-by-step explanation:
First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.
ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А
Answer:
angle B = 66.42
Step-by-step explanation:
cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 B = [tex]\frac{2}{5}[/tex]
cos-1 B = 0.40
cos-1 of 0.40 is 66.4218
round to the nearest hundreth = 66.42
angle b = 66.42
There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is congruent to side CD. If ∠BAC ≅ ∠DCA, the Choose... theorem can be used to show that △ABE ≅ △CDE.
Answer:
SAS theorem
Step-by-step explanation:
Given
[tex]\square ABCD[/tex]
[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex]
[tex]\angle BAC = \angle DCA[/tex]
Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:
[tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]
and
[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex]
So, the congruent sides and angles of △ABE and △CDE are:
[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex] ---- S
[tex]\angle BAC = \angle DCA[/tex] ---- A
[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex] or [tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex] --- S
Hence, the theorem that compares both triangles is the SAS theorem
need help for this question pls urgent
Here are the marks of a student in four exams.
65 80 76 69
The student takes a fifth exam.
His mean mark for the five exams is 70
Work out his mark in the fifth exam.
Answer:
61 marksStep-by-step explanation:
Given,
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
Therefore,
By the problem,
[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]
[tex] = > \frac{289 + x}{5} = 70[/tex]
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
Hence,
Marks of the fifth exam is 61 (Ans)
The outside diameter (od) of a pipe is 4 9/32 inches. The walls are 7/32 inches thick. find the inside diameter.
Please explain how you got your answer.
The inside diameter would be the outside diameter minus 2 of the wall thicknesses.
4 9/32 - (2 x 7/32)
Simplify:
4 9/32 - 14/32
Because 14/32 is larger than 9/32 change one of the hole numbers to a fraction: 1 = 32/32
rewrite 4 9/32 as 3 41/32
Now subtract:
3 41/32 - 14/32 = 3 27/32 inside diameter.
Need help pls help me
Answer:
See below, please!
Step-by-step explanation:
We know that 6z-31+something is going to be equal to 180 degrees, because it is supplementary. But what is that something? We see 67 degrees. Do you think this is a corresponding angle to the something that we need to find? Yes, it is! So we know that 6z-31+67 is equal to 180. So, z is 24. Now, since we know the value of the something (67 degrees because of corresponding angles) we can find yet another pair of supplementary angles. 67+x=180! Kind of neat, huh? So, x is equal to 113.
Hope this helped!
I don't know anything about this. please explain what this means and how to do it.
Answer:
90
Step-by-step explanation:
you have to multiply A B and C and you should get 90
i think i'm right
please help besties
Answer:
200.96
Step-by-step explanation:
64x3.14=200.96
Answer:
A= 200.96in2
Step-by-step explanation:
8×8=64
64×3.14=200.96
Evaluate the expression. 54 + 3 = 4096
Answer:
38
Step-by-step explanation:
Pánfilo tiene una finca de 48 hectareas, si vende 2/3 y alquila 3/4 del resto. Además, si él desea sembrar, ¿cuantó terreno le queda a Pánfilo disponible para la siembre?
-Identifica los datos del problema.
-Identifica el procedimiento a utilizar.
-Utiliza correctamente el procedimiento.
-Interpreta la respuesta obtenida.
Which quadratic function has a vertex point of (3,5) and passes through the
point (-2,55)?
9514 1404 393
Answer:
f(x) = 2(x -3)² +5
Step-by-step explanation:
For vertex (h, k) and scale factor 'a', the vertex form is ...
f(x) = a(x -h)² +k
We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.
55 = a(-2 -3)² +5
50 = 25a . . . . . . . . subtract 5
a = 2 . . . . . . . . . . . divide by 25
So, the function is ...
f(x) = 2(x -3)² +5
__
In standard form, that will be ...
f(x) = 2x² -12x +23
PLS HELP ME IM AWARDING BRAINLIEST!
Answer:
First option: 336
Step-by-step explanation:
To find the answer, separately solve for each of the shapes.
1. The base is the square so length times width is the formula:
12 x 12 = 144
144 is the area of the square
Next, find the 4 triangles which are congruent(the same).
Triangle area formula: Base x Height divided by 2.
So, the area of 1 triangle is 12 x 8 =96
96/2 = 48
Area =48
Because there are 4 triangles, do 48 x 4=192.
Finally, add the area together and you should get 192+144 =336 ft^2
Surface area = 336 ft^2
A number Q has a remainder of 3 when divided by 5 and also has a remainder of 4 when divided by 8. What is the smallest value Q can have?
If the high tide was 18 feet and the low tide was 3 feet, what is the tidal range?
Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.
Hope this helps :)
Andre wants to buy a bike that normally costs $125, but is on sale for 20% off.
How much is the discount? Andre will pay $100 after the discount
Answer:
The discount takes $25 dollars off
Step-by-step explanation:
So yes, he'll pay $100 after the discount is applied
Answer:
25 dollars
Step-by-step explanation:
125 - 100= 25
Select all the numbers that are common multiples of 4 and 6.
1
2
10
12
24
40
60
Answer:
12,24,36,60
Step-by-step explanation:
multiples of 4 and 6 less than 61
4 (4,8,12,16,20,24,28,32,36,40,44,48,52,56,60)
6 (6,12,18,24,30,36,42,48,54,60)
common multiples (12,24,36,60)
HELP FAST. I WILL CASHAPP $5
On a certain hot summer's day, 540 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $822.75. How many children and how many adults swam at the public pool that day?
Answer:
There were 343 children and 197 adults.
Step-by-step explanation:
In order to solve this problem, you can use an equation after identifying the important information, like that there were 540 people, the cost for a child is $1.25, the cost for an adult is $2.00, and admission fees totaled $822.75:
where c = number of children, and a = number of adults,
c + a = 540
1.25c + 2a = 822.75
Now, you need to solve this system of equations by isolating one of the variables. I'll isolate c by multiplying the first equation by 2 since it's easier:
2c + 2a = 1080
- 1.25c + 2a = 822.75
= .75c = 257.25
Now, you can multiply both sides by 4/3 to find c:
c = 257.25 × 4 ÷ 3
c = 343
So there were 343 children. Now you can find the number of adults by substituting 343 for c in the first equation:
where c + a = 540 and c = 343,
343 + a = 540
a = 197
So, there were 197 adults.
Stephen is testing the difference in means between time it takes to travel school in a bus and time it takes to travel to school in a car. Stephen hypothesizes that it takes more time to travel in a bus. He calculates a p-value of 2%. He concludes at a 1% significance level that the true mean is greater for a bus than a car.
Where did Stephen go wrong in his conclusion? Explain in detail.
Answer:
Kindly check explanation
Step-by-step explanation:
To test for Difference in mean times
Null hypothesis, H0 will be, there is no difference in mean times ; m1 = m2
Alternative hypothesis, there is difference in mean times ; m1 ≠ m2
Decision region :
When p value < α ; reject the Null
Here. ;
Pvalue = 2% = 0.02
α = 1% = 0.01
Pvalue > α
0.02 > 0.01
Since, Pvalue > α ; we do not reject the Null ;
Hence, conclusion should be, there is no difference in mean times of bus and car
Question 4 (1 point)
What is the value of x?
30
A. 4 sqrt 3
B. 16
C. 4
D. 8 sqrt 3
Answer:
I think answer is C. 4
Step-by-step explanation:
8:2=4
If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm
Given:
In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.
To find:
The possible value of side z.
Solution:
In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.
Case I: Let x be the largest side, then
[tex]y+z>x[/tex]
[tex]4+z>15[/tex]
[tex]z>15-4[/tex]
[tex]z>11[/tex] ...(i)
It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.
Case II: Let z be the largest side, then
[tex]x+y>z[/tex]
[tex]15+4>z[/tex]
[tex]19>z[/tex] ...(ii)
From (i) and (ii), we get
[tex]11<z<19[/tex]
It means the value of z lies between 11 and 19.
From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.
Therefore, the correct option is C.
help help help please!!!! it was due a week ago!!!!
Item 6
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is?
50×100÷110=45.454545r6
HELP ME PLEASE 10 points!!!!!
tamika has $55 in her savings account. She plans on depostiting $5 per week into her account. Write and solve an inqequality to find out how many weeks she must save to have more than $100 in her account. Then interpet the solution
Answer:
x>9
Step-by-step explanation:
Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.
The question also asks to solve the inequality:
55+5x>1005x>100-55 (Subtract 55 from each side)5x>45x>9 (Divide each side by 5)This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.
lmk if i made an error, hope this helps!!
Factor 8m^6 - 64n^12p^15. don't waste points and show steps and factors. please
Answer:
8(m⁶ - 8n¹²p¹⁵)
Step-by-step explanation:
Given:
8m⁶ - 64n¹²p¹⁵
The only part that we can factor out is in the coefficients. Because both terms use different variables, they can not be factored. However, both terms are divisible by eight, so we can say it equals:
8(m⁶ - 8n¹²p¹⁵)
And that is all the factoring that can be done.
help asap
could someone please explain how to solve/answer this?
much appreciated
find the measure of angle 1
Answer:
44°
Step-by-step explanation:
8x - 4 = 6x + 8 (This is because they are corresponding angles)
8x - 6x = 8 + 4
2x = 12
x = 12 ÷ 2
x = 6
6x + 8 = angle 1 (Vertically opposite angles are equal)
Substitute the value of x in the equation '6x +8' to get the size of the angle.
6 × 6 + 8
36 + 8 = 44°
Angle 1 = 44°
Help
3
A box of cereal states that there are 78 calories in a -cup serving. What is the unit rate for calories
4
per cup? How many calories are there in 3 cups of the cereal?
Answer:
78 OZ (481g)
There are 120 calories in one cup of cereal. So there would be 360 calories of cereal in three cups of cereal. this is the awnser to number two I think thought imma keep working out the problem tell me if its wrong or right
If anyone could help also step by step please with work
9514 1404 393
Answer:
m = 1/3
Step-by-step explanation:
Step 1. Pick a line of the table to use as (x1, y1).
Step 2. Pick a different line of the table to use as (x2, y2).
Step 3. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
Step 4. Simplify the result.
__
Here are these steps for this problem.
1, 2. use (x1, y1) = (-9, -5) and (x2, y2) = (-3, -3)
3. m = (-3 -(-5))/(-3 -(-9)) = 2/6
4. m = 1/3
que es un ángulo obtuso
Answer:
naniiiiiiiiiiiiiiiiiiiiii
Answer:
uhmmuhmmmmmmmmuhmmmm
en una ciudad a las 6:00am la temperatura era de 2°C. A lo largo del dia, la temperatura tuvo las siguientes variaciones:
8:00am: disminuyo 4°C
10:00am: aumento 6°C
12:00 pm: disminuyo 2°C
2:00 pm: disminuyo 2°C
4:00 pm: aumento 4°C
6:00 pm: aumento 1°C
¿Cual es la temperatura a las 6:00 pm?
es para hoy tengo 20 minutos plis
Answer:
5°C
Step-by-step explanation:
A bag has 4 red 3 white 2 blue and 1 green marble in it. Use this information to answer question 9-11.
9) What is the probability pick a red or green marble?
10) Probability of getting (Red or Blue)?
11) Probability of not getting blue
A die has the numbers 1-8 on it. Use this information to solve questions 12-15.
12. What is the probability of the die landing on the number 6?
13. What is the probability of the die landing on an even number less than 5?
14. What is the probability of the die landing on a prime number?
15. What is the probability of the die landing on a number divisible by 2 or 3?
A bag has 3 white 4 red and 2 blue marbles in it.
16. How many white marbles would have to be added to make the probability of pulling a white marble be 1/2?
17. How many white marbles must be added to make the probability of choosing a white marble 2/3?
#'s 9-14
Base info: 40% are red, 30% are white, 20% are blue, and 10% are green
9) 40% chance to get red, 10% chance to get green. 50% chance to get one of either.
10) getting red: 40%
Getting blue: 20%
11) 80% (100% - 20% = 80%)
1/8 = 12.5%
12) 12.5% chance
13) 25% chance
14) 12.5 x 5 = 62.5
62.5% chance
Answer:
Step-by-step explanation:
r=4, w=3, b=2, g=1, t=(4+3+2+1)=10
9) P(r or g)=4/10+1/10=5/10= 1/2
10) P(r or b)=4/10+2/10=6/10= 3/5
11) P(!b)=P(r or w or g)=4/10+3/10+1/10=8/10= 4/5
12) There are six numbers and only one six, P(6)= 1/6
13) The only even numbers less than 5 are 2 and four so
P(e<5)=2/6= 1/3
14) The primes on a die are 2,3,5 so three primes out of six numbers
P(!)=3/6= 1/2
15) 2,3,4,6 are multiples of 2 and three
P(2n or 3n)=4/6= 2/3
16) We want a one half probability so
P(W)=(3+x)/(3+4+2+x)=1/2
(3+x)/(9+x)=1/2
2(3+x)=9+x
6+2x=9+x
x=3
So 3 white marbles have to be added.
17) (3+x)/(9+x)=2/3
3(3+x)=2(9+x)
9+3x=18+2x
x=9
So nine whites need to be added.