Answer:
[tex]Probability = \frac{1}{9}[/tex]
Step-by-step explanation:
Given
Toppings: Pico de gallo, Onions and Steak
Required
The probability of getting Onions and Steak
The probability is calculated using:
[tex]Probability = P(Onion)\ and\ P(Steak)[/tex] --- because the events are independent
[tex]P(Onion) = \frac{n(Onion)}{Total}[/tex]
[tex]P(Onion) = \frac{1}{3}[/tex]
[tex]P(Steak) = \frac{n(Steak)}{Total}[/tex]
[tex]P(Steak) = \frac{1}{3}[/tex]
So, we have:
[tex]Probability = P(Onion)\ and\ P(Steak)[/tex]
[tex]Probability = P(Onion)\ *\ P(Steak)[/tex]
[tex]Probability = \frac{1}{3} * \frac{1}{3}[/tex]
[tex]Probability = \frac{1}{9}[/tex]
Pls help
Find the surface area of the composite figure.
Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³
PLEASE HELP ASAP
TRIGONOMETRY
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x) = [tex]\frac{27}{30}[/tex]
x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(x) = [tex]\frac{43}{18}[/tex]
x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]
x = 67.29°
x ≈ 67.3°
determine the measure of each angle: x,y and z
PLS HELP
Answer:
x=42°
y=64°
z=68°
Step-by-step explanation:
Consider the triangle towards the right with 90° and 48° marked. The other angles must equal 42° (angles in a triangle add to 180, 42+48+90=180). This 42° angle is vertically opposite x, so x=42°.
The triangle that contains z also contains the angle 22° and 90° (because it is on a straight line with another 90° angle and the angles along a straight line add up to 180 (90+90=180)). Since the angles in a triangle add to 180, z=68°. (68+22+90=180)
The angles z, 48° and y lie along a straight line. Since the angles along a straight line equal 180 and since we know that z=68°, we can say y=64° (68+64+48=180)
Answer:
Solve for x: (use triangle sum theorem)
48+90+x=180
x = 42 (vertical angles)
Solve for y: (Find z first, then use triangle sum theorem)
68+48+z=180
y = 64
Solve for z: (triangle sum theorem)
22+90+z=180
z=68
Help please thank uuuu
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft
Answer:
0.43 ft/hr
Step-by-step explanation:
dv/dt = 15ft³/hr
Height = 10ft
We are required to get dh/dt
h = 3r
r = h/3
Formula for volume = 1/3πr²h
We put value of h
1/3π(h/3)²h
= 1/3π(h²/9)h
= 1/3πh³/9
= πh³/29
dv/dt = 1/27π.3h²dh/dt
= dv/dt = πh²/9dh/dt
Remember dv/dt = 15
When we put this in we get
dh/dt = 15x9/3.142x10²
= 135/314.2
= 0.43 ft³/hr
Please check the attachment I added also to add you.
A piece of wood is 3 1/2 feet long how many total inches long is it?
Answer:
42 inches
Step-by-step explanation:
1 foot is 12 inches
12 times 3=36
12 divided by 2=6
36+6=42
Help please!!!
I’m failing math and I need help
Answer:
3.
vertically opposite angles ,
= 30°
4. 50° +30°+2x = 180°
80°+2x=180°
2x=180°-80°
2x=100°
What is 2 ½ divided by ½ equal too
Answer:
it woulb be 1.25
Part B: Which box-and-whisker plot displays
Mario's data?
Brainliest quick
Answer:
Step-by-step explanation:
i think it's D i have the same test today
Answer:
C cause it has to be 54 then the median is 58
Step-by-step explanation:
HHHEEELLLPPPPP MMMMMMEEEEEE!!!!!!
Which is the graph of the function g(x)=−x^2−4x−1?
Answer:
its a, the first one
Step-by-step explanation:
i graphed it have a good day (:
2) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?
Answer:
There are at least 111 rose blooms in May's Garden.
Step-by-step explanation:
135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.
Please let me know if I am incorrect
Ignore the answer I chose it didn't let me click off of it
Answer:
d i think
Step-by-step explanation:
Which point does not lie on the graph of x + 7y = 7?
jessica wondered if elementary school students tend to write more when they are given
full question plsAnswer:
Step-by-step explanation:
A computer program found that the line c=2t−89c=2t−89c=2t−89 is a good fit for the data. Use this equation to predict how many cups of lemonade Lin might sell on a day when the high temperature is 74 degrees.
Answer:
58cups
Step-by-step explanation:
Given the equation for the line as c = 2t - 89
If the temperature is 74 degrees, then we can find the number of cups at this temperature;
Substitute t = 74 unti the expression
x = 2(74) - 89
c = 147 - 89
c = 58cups
Hence the number of cups of lemonade is 58cups
Which expression correctly represents 10 times the difference of a number and six
Answer:
10(6 - x) or 10(x - 6)
Step-by-step explanation:
Let the number be x.
Answer: 10(6 - x) or 10(x - 6)
giving brainliest *easy*
Answer:
pi
Step-by-step explanation:
to convert angles to radians you must multiply the angle measurement by the formula pi/180
180 x pi/180
the 180s cancel out and you are left with pi
Answer:
3.14159 Radian
Step-by-step explanation:
3.142rad × 180/π = 180°
Write the ratios of each for the given triangle below
SinA=
CosA=
TanA=
SinB=
CosB=
TanB=
Answer:
i have made it in above picture
No rush but what is the formula for finding the area of a polygon
Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
___in^2
Answer:
400
Step-by-step explanation:
8*20/2+16*20=400.
Which function could be represented by the graph on the
coordinate plane?
Answer:
where is the graph?
Step-by-step explanation:
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
Luis walked for 16 minutes. Natalie walked for w minutes. Luis walked twice as long as Natalie. How long did Natalie walk?
Answer:
Natalie walked for 4 minutes because 16 divided by 2 is 4
Answer:
8
Step-by-step explanation:
16/2=8
Can someone help me? I’ll reward points + brainalist
Answer:
The answer is B.
Answer:
b) A = π ([tex]5^{2}[/tex])
Step-by-step explanation:
area = π [tex]r^{2}[/tex]
diamter
⇒ 10
radius is half of the diameter
⇒ 10 ÷ 2 = 5
area = 3.14 × [tex]5^{2}[/tex]
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answer:
Rate per litre=180km ÷ 20l
=8km/l
Find the identical expression for the following plz show work
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
What is x in 1/150/1/200x2=x
Answer:
6.66666667E-5
hope this helped a bit!
Use transformations of f(x) = x² to graph the following function.
g(x) = x² +5
Select all the transformations that are needed to graph the given function using f(x)= x?.
A. Shift the graph 5 units down.
B. Reflect the graph about the x-axis.
C. Shift the graph 5 units up.
D. Reflect the graph about the y-axis.
E. Shrink the graph vertically by a factor of 5.
F. Shrink the graph horizontally by a factor of 5.
G. Shift the graph 5 units to the left.
H. Shift the graph 5 units to the right.
I. Stretch the graph vertically by a factor of 5.
J. Stretch the graph horizontally by a factor of 5.
Answer:
C. Shift the graph 5 units up.
Step-by-step explanation:
vertical translation 5 units up
I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.