Answer:
A 17.58
Step-by-step explanation:
Round the numbers to the nearest thousands.
4 252-
8 683-
50 000-
59 490-
96 156-
Answer:
1. 4,000
2. 9,000
3. 50,000
4. 59,000
5. 100,000
In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.
Find AH and Aᴬᴮᶜ
Answer:
AH = 4 units
Area of ΔABC = 16 square units
Step-by-step explanation:
Since ΔABC is an isosceles triangle,
AC = BC
∠CAB ≅ ∠ABC [Opposite angles of the equal sides in a triangle are equal]
In ΔABC,
m∠CAB + m∠ABC + m∠ACB = 180°
m∠ABC + m∠ABC + 150° = 180°
2m∠ABC = 30°
m∠ABC = 15°
Now we apply cosine rule in ΔABC,
AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)
AB² = 8² + 8² - 2(8)(8)cos(150°)
AB² = 128 + 110.85
AB = [tex]\sqrt{238.85}[/tex]
AB = 15.45
In ΔABH,
sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]
sin(15°) = [tex]\frac{AH}{15.45}[/tex]
AH = 15.45sin(15°)
AH = 3.998
AH ≈ 4.0 units
HC = [tex]\sqrt{8^{2}-4^2}[/tex]
= [tex]\sqrt{48}[/tex]
= 6.93
Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 square units
Terrell had a chain of 56 paper clips. Some of the paper clips fell off. Now there are 38 paper clips in the chain. How many fell off?
Answer:
56 - 38 = 18
Step-by-step explanation:
Answer:
18 paper clips
Step-by-step explanation:
56 paperclips originally - x paperclips = 38 paperclips
56 - x = 38
+ x + x
56 = 38 + x
- 38 - 38
18 = x
x = 18
Independent and Dependent Samples Which of the following involve independent samples?
A) Data Set 14 "Oscar Winner Age" in Appendix B includes pairs of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories. The pair of ages of the winners is listed for each year, and each pair consists of ages matched according to the year that the Oscars were won.
B) Data Set 15 "Presidents" in Appendix B includes heights of elected presidents along with the heights of their main opponents. The pair of heights is listed for each election.
C) Data Set 26 "Cola Weights and Volumes" in Appendix B includes the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.
Answer:
(A) Independent
(B) Independent
(C) Independent
Step-by-step explanation:
Independent samples are those samples are drawn from two different population.
Dependent samples are sample collected from the same population but at different times. They are also known as matched pair samples.
(A)
The data collected is for the pair of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories.
That is the data is in the form (x, y). Here x represents the age of actresses and y represents the age of actors.
Since the data is collected from two different population of male and female, the sample are independent.
(B)
The data collected is for the heights of elected presidents along with the heights of their main opponents.
Again the data is in the form (x, y). Here x represents the heights of elected presidents and y represents the heights of the main opponents.
The samples collected is independent.
(C)
The data collected is for the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.
Again the data is in the form (x, y). Here x represents the volumes in the regular Coke cans and y represents the volumes in the regular Pepsi cans.
The samples collected is independent.
A waterfall is n times the height of its picture on a postcard.
Which equation represents the height, y, of the waterfall if
the picture is 6 cm tall?
A y = 6+n
y = 6+n
y = 6n
y=n-6
Answer: y=6n
Step-by-step explanation:
You are planning a laser tag party. Company A charges $6 per person to use the facility. Company B charges $100 plus $4 per person.
For how many people attending would the companies be equal?
Please answer honestly
Answer:
50 people until it was equal
Step-by-step explanation:
6p=100+4p
2p=100
p=50
6(50)=100+4(50)
300=100+200
300=300
What is the first step to solve 2 (x - 2)< (1 + 2) + 5
Answer:
The first step would be to distribute the 2 outside of the parenthesis
Then the left side of the equation would look like: 2x-4
Step-by-step explanation:
9514 1404 393
Answer:
add 1+2
Step-by-step explanation:
According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...
(1 +2) = 3
Then the inequality becomes ...
2(x -2) < 3 +5
The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.
Please help me figure this out-
Find the measure of the indicated angle that makes lines U and V parallel.
Answer:
80
Step-by-step explanation:
100°+?=180
?=180-100=80
what is 1325864 in expanded form
Answer:
1,000,000 + 300,000 + 20,000 + 5,000 + 800 + 60 + 4
Step-by-step explanation:
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours?
Answer:
13 inches of snow
Step-by-step explanation:
Evaluate `int cosec^(2)(7-5x)dx
Answer:
∫ cosec²(7-5x) dx =[-cot(7-5x)]/-5 +c
=(1/5)cot(7-5x)+c
note: d/dx(cotx)=- cosecx
A phone manufacturer is determining a price for its product using a cost-based pricing strategy. The fixed costs are $100,000, and the variable costs are $50,000. If 1,000 units are produced and the company wants to have a 30 percent markup, what is the price of the phone? (show work)
Answer:
b
Step-by-step explanation:
Cruz 500 ehjsjshxhu 728w
Answer:
dont even know ghnbbjuh
Podemos calcular la profundidad d
de la nieve, en centímetros, que se acumula en el jardín de Harper durante las primeras h horas de una tormenta usando la ecuación
d=5h
Cuántas horas tarda en acumularse 1
centímetro de nieve en el jardín de Harper?
Cuántos centímetros de nieve se acumulan por hora?
Answer:
a) Cuántas horas tarda en acumularse 1
centímetro de nieve en el jardín de Harper?
0.508 horas o 30.48 minutos
b) Cuántos centímetros de nieve se acumulan por hora?
5 cm
Step-by-step explanation:
a) ¿Cuántas horas se necesitan para acumular 1 pulgada de nieve en el jardín de Harper?
1 pulgada de nieve = 2.54 cm de nieve
d = 5 × h
2.54 = 5 h
h = 2.54 / 5
h = 0.508 hora
Convertir a minutos = 0.508 horas × 60 minutos
= 30.48 minutos.
Por lo tanto, se necesitarían 0.508 horas o 30.48 minutos para acumular 1 pulgada de nieve en el jardín de Harper.
b) ¿Cuántos centímetros de nieve se acumulan por hora?
d = 5 h
Por hora = 1 hora
d = 5 × 1
d = 5 cm
Por tanto, se acumulan 5 cm de nieve por hora.
What is the slope of the line?
Answer:
y = 2x-3.
Step-by-step explanation:
Slope is y =mx+b. If we look at the graph, the line passes by (0,-3) and (1,-1). Taking rise over run, (y/x), we can find out that y goes up 2 and x goes right 1. This means that it is a positive slope and that slope would be 2/1, simplified to just 2.
Andrew and Connie are both teachers at their local school. There are 15 female teachers at the school and 35 male teachers. What is the ratio of male to female teachers?
Answer:
7:3
Step-by-step explanation:
The quantities and are proportional
9514 1404 393
Answer:
r = 1
Step-by-step explanation:
Solving the equation for r gives ...
r = y/x
Using the first line of the table, we find r to be ...
r = 5.8/5.8 = 1
The constant of proportionality is r = 1.
In the inequality -2|2x-3|>-12, what is the range for x?
9514 1404 393
Answer:
-3/2 < x < 9/2
Step-by-step explanation:
You can divide the inequality by -2, then rewrite as a compound inequality:
|2x -3| < 6
-6 < 2x -3 < 6
Add 3 and divide by 2:
-3 < 2x < 9
-3/2 < x < 9/2
List all the factor pairs for the
number 48.
List all the factor pairs for the
number 23.
List all the factor pairs for the
number 12.
List the first 5 multiples for the
number 12.
List the first 5 multiples for the
number 8.
DON'T FORGET TO USE THE
MULTIPLE MONSTER.
(repeated addition or Math
Facts)
List the first 5 multiples for the
number 9.
List the first 5 multiples for the
number 4.
List the first 5 multiples for the
number 7.
Answer:
1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Sorry I can do more if needed
Step-by-step explanation:
For a small charge, you arrange to have the hardware store deliver your purchase for you
You pay for your purchase, plus the sales tax, plus the delivery charge.
which verb would make this statement an example of personification?
the cell phone
a. shook
b. rang
c. danced
d. lit up
please help me i give brainliest
Answer:
Step-by-step explanation:
1. 120+21=141
2. 21-3=18
3. 7x-21
4. 20+x
5. 45+4x
6. 40+5c
7. 20+22r+26s
It will be nice if you give me brainliest
Good luck!
Scott is running for office. Of the 18,000 votes cast in the election for this office, 55% were for Scott. How many votes were cast for the other candidates? O A. 810 O B. 990 O C. 8,100 D. 9,900
Answer:
C
multiply 55% and 18,000
then subtract what u got with 18000
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register #1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash receipts for Saturday?
Please answer ASAP :)
Answer:
17 686.98
Step-by-step explanation:
$3,497.22 + $2,259.86 + $4,178.40 + $2,863.17+ $4,888.33.
Answer:
$17,686.98
Step-by-step explanation:
How can we efficiently multiply by multiples of 10?
Answer:
just add a zero
Step-by-step explanation:
because if you do all the work it's just a waste of time when you could get the same answer by just adding a zero.
GEOMETRY Write and solve an equation to find the value of x so that it figures have the same area.
Answer:
C. x=7 and the expression is (5+x)9=x*(15 3/7)
Step-by-step explanation:
The width of the first shape is 5+x and the length is 9
The width of the second shape is x and the length is 15 3/7
You want the same area of the figures, so they are equal. And the formula for the area of a rectangle is l*w. So...
(5+x)9=x*(15 3/7)
45+9x=(108/7)x
315+63x=108x
63x-108x=-315
-45x=-315
x=7
So, your answer is C.
The value of the x-intercept for the graph of 4x - 5y = 40 is
Answer: The x intercept is 10 or (10,0)
Step-by-step explanation:
4x - 5y = 40 The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.
4x-5(0) = 40
4x + 0 = 40
4x = 40
x= 10
The x intercept is 10 or (10,0)
Determine the type and number of solutions for the follow equation.
x² – 8x=-7
evaluate the expression when x=3:5x+12
Answer:
27
Step-by-step explanation:
5(3)=15 +12 = 27
timed question need help
Step-by-step explanation:
m-7/3 = m+2
= m-7 = 3(m+2)
= m-7 = 3m+6
= -7-6 = 3m-m
= 2m = -13
= m = -13/2