Answer:
22
Step-by-step explanation:
You use the order of operations: PEMDAS.
Sooo...
4*6-8/4=
24-8/4=
24-2=
22
A lifeguard is in an observation chair and spots a person who needs help. The angle of depression to the person is 22°. The eye level of the lifeguard is 10 feet above the ground. What is the horizontal distance between the lifeguard and the person? Round to the nearest foot.
Answer:
The horizontal distance between the lifeguard and the person is approximately 24.751 feet.
Step-by-step explanation:
At first we include a geometrical representation of the statement, which is shown in the image attached below. We can determine the horizontal distance between the lifeguard and the person by means of the following trigonometrical relationship:
[tex]\tan \theta = \frac{OL}{OP}[/tex] (1)
Where:
[tex]\theta[/tex] - Angle of depression to the person, measured in sexagesimal degrees.
[tex]OL[/tex] - Height of the lifeguard above the ground, measured in feet.
[tex]OP[/tex] - Horizontal distance between the lifeguard and the person, measured in feet.
If we know that [tex]OL = 10\,ft[/tex] and [tex]\theta = 22^{\circ}[/tex], then the horizontal distance between the lifeguard and the person is:
[tex]OP = \frac{OL}{\tan \theta}[/tex]
[tex]OP = \frac{10\,ft}{\tan 22^{\circ}}[/tex]
[tex]OP \approx 24.751\,ft[/tex]
The horizontal distance between the lifeguard and the person is approximately 24.751 feet.
A faucet dripped 1/4 cup of water in 11/2 hours. What is the rate in cups per hour?
Answer:1/6th of the Cup
Step-by-step explanation:
Based on the given information, which conjecture is invalid?
Given: Amber has a pet with four legs.
a)Amber has a hamster.
b)Amber has a cat.
c)Amber has a parakeet.
d)Amber has a dog.
Evaluate:
(4/25)^1/2 in fraction
Answer:
As
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]
Therefore, option C is true.
Step-by-step explanation:
Given the expression
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
so the expression becomes
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]
[tex]=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]
[tex]=\frac{2}{25^{\frac{1}{2}}}[/tex]
[tex]=\frac{2}{5}[/tex]
Hence,
[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]
Therefore, option C is true.
Answer:
The answer is C
Step-by-step explanation:
I just took the A pex test and got the question right.
You might want to clean your screen lol
Hope this helps! Have a wonderful day <333
4+5(p-1) =34 solve it fast
Answer:
P=7
Step-by-step explanation:
4+5(7-1) = 34
4 + 5(6) = 34
4+30=34
34=34
Eduardo mixed 5 pounds o cashews and almonds. Cashews cost $8 per pound and almonds cost $6 per pound. The total cost of the mixture was $33. How much of the mixture was almonds?
Answer:
3.5 pounds of the mixture was almonds
Step-by-step explanation:
Assume that the mixture contains x pounds of cashews and y pounds of almonds
∵ x represents the amount of cashew
∵ y represents the amount of almond
∵ Eduardo mixed 5 pounds of cashews and almonds
∴ x + y = 5 ⇒ (1)
∵ Cashews cost $8 per pound
∵ Almonds cost $6 per pound
∵ The total cost of the mixture was $33
→ Multiply x by 8 and y by 6 and equate their sum by 33
∴ 8x + 6y = 33 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by -8 to eliminate x
∵ -8(x) + -8(y) = -8(5)
∴ -8x - 8y = -40 ⇒ (3)
→ Add equations(2) and (3)
∵ (8x + -8x) + (6y + -8y) = (33 + -40)
∴ -2y = -7
→ Divide both sides by -2
∴ y = 3.5
∵ y represents the amount of almond
∴ 3.5 pounds of the mixture was almonds
Which is the best deal of these three offers?
2/$3.33
3/$4
4/$5
Please explain...
Find the value of x.
X
127X
Answer:
127
Step-by-step explanation:
x=127
corresponding angles
Kristin is filling 3 jars with jellybeans. If she has 1,856 jellybeans and wants to split them evenly between the jars, will Kristin have any jellybeans left over? If so, how many?
Answer:
Yes, Kristin will have 2 jelly beans left
Step-by-step explanation:
Total jelly beans = 1,856
Total jars = 3
Kristin is filling 3 jars with jellybeans
She wants to split them evenly between the jars, will Kristin have any jellybeans left over?
Jellybeans in a jar = total jellybeans / total jar
= 1,856 / 3
= 618 remainder 2
Yes, Kristin will have jelly beans left
Kristin will have 2 jellybeans left
Check:
618 × 3 = 1,854
Remaining jellybeans = 1,856 - 1,854
= 2 jellybeans
The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?
The perimeter of the smaller polygon from the given ratio is 100 centimeters.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, the scale factor of two similar polygons is 2:3.
The perimeter of the larger polygon is 150 centimeters.
Let x be the perimeter of the smaller polygon.
Now, 2/3 =x/150
⇒ x=100 centimeters
Therefore, the perimeter of the smaller polygon is 100 centimeters.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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write a function rule for the nth term of each arithmetic sequence
1=6,11,16,21...
2=-7,-15,-23,-31....
3=-7.6,-9.6,-11.6,-13.6......
Answer:
radinda9124 i will answer wait
use ur notebook and
solve for: 5x-36x+3x
ill give brainliest
-28x is the answer.
add -36 and 3 then subtract 5 when you get your answer make a negative and keep the x
Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2 × 0.1) + (9 × 0.01) (5 × 1) + (3 × 0.1) + (3 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01)
Answer:
Any number in form of x.y = x (1) + 1/10 (y)
where x = 5 & y > 3 , or x > 5
Step-by-step explanation:
Expanded form of 5.3 = 5 (1) + 3 (1/10)
Some decimals written in expanded form that are greater than 5.3 :
5 (1) + 4 (1/10) = 5.4
6 (1) + 2 (1/10) = 6.2
Nora has 16 muffins that she wants to give to 4 friends.
She wants each friend to have the same number of muffins.
Select the three statements that describe how Nora should give the muffins to her
friends.
Answer:
16 ÷ 4, 16/4, each friend gets 4 of the muffins.
Step-by-step explanation:
Dividing it by four will give them all an equal amount.
Hope this helps.
A pair of boots are $94.99. They are 25% off. With this
discount, what is the sale price? Round to nearest
cent if necessary.
If there are 25% discount on the pair of shoes, then the sale price of boots are, $71.24
What is the sale price ?Sale price refers to the price at which a product or service is offered for sale after a discount or reduction from its original or regular price. Sale price is a promotional tool used by retailers to encourage customers to purchase products or services by offering them at a lower price than their regular price. The purpose of a sale price is to increase sales and generate revenue, as well as to clear inventory, attract new customers, and increase brand awareness. The calculation of sale price is typically performed by subtracting a certain percentage or dollar amount from the original or regular price.
Given that,
The boots are $94.99 and are 25% off,
so the discount amount is
⇒ $94.99 x 0.25 = $23.75.
The sale price of the boots is
⇒ $94.99 - $23.75
⇒ $71.24
Rounded to the nearest cent, the sale price is $71.24
To know more about Sale Price check:
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Four less than twice a number is twenty four.
Answer:
4-2x=24
24-4=20
x=10
Step-by-step explanation:
to the nearest whole degree, what is the measure of Angle z
A. 41°
B. 47°
C. 51°
D. 57°
Answer:
51°
Step-by-step explanation:
you just have to add all the numbers and subtract it by two
Answer:
51
Step-by-step explanation:
SOMEONE HELP PLEASE
WILL GIVE PERSON WHO IS RIGHT BRAINLIST
Step-by-step explanation:
ur ans n fine me brainlist!
1). Aziz has a job mowing lawns in the summer. The graph below shows the amount of earnings, in dollars, based on the number of lawns Aziz mows. Enter an equation to represent the amount of earnings, e, in dollars, that Aziz makes in terms of the number of lawns, n, that he mows.
Answer:
The equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n
Step-by-step explanation:
From the graph, we have;
For the point where n = 4, we have e ≈ 63.5
Therefore, we have;
The slope = Δn/Δe = 63.5/(4) = 15.875
The coordinates of the points plotted on the graph are as follows;
n = 0, e = 0, therefore, the y-intercept is 0, and y = slope × x
n = 1, e = 1 × 0.79375 = 15.875
n = 2, e = 2 × 15.875 = 31.75
n = 3, e = 2 × 15.875 = 47.625
n = 4, e = 4 × 15.875 = 63.5
We have, e = 15.875 × n
Where, n represents the number of lawns Aziz mows, and n represents the amount of earnings Aziz makes in dollars
Therefore, the equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n
Please help i will mark branliest
Given a triangle on a coordinate plane, Steve found its circumcenter. How can he check the answer?
Use midpoint formula to find the midpoint of each side
Use distance formula to verify that each vertex is equidistant from the circumcenter
Use distance formula to verify that each side is equidistant from the circumcenter
There is no way to verify the coordinates of the circumcenter
Given a triangle on a coordinate plane, Kim found its incenter. How can she check the answer?
Use distance formula to verify that each side is equidistant from the incenter
Use midpoint formula to find the midpoint of each side
There is no way to verify the coordinates of the incenter
Use distance formula to verify that each vertex is equidistant from the incenter
Answer:
ihnc
Step-by-step explanation:
ihnc
Answer:
The answer is D - Use distance formula to verify that each vertex is equidistant from the incenter.
Step-by-step explanation:
I know because I just toke the test and got it right.
If 1 droplet of water falls from a pipe every 10 seconds. How many droplets of water would have fallen 6 minutes?
Answer:
36
Step-by-step explanation:
60 seconds in one minute = 6 drops times 6 equals 36
Answer:
36 droplets of water in 6 minutes
Step-by-step explanation:
If there are 60 seconds in a minute, and one droplet of water falls in the pipe every 10 seconds then you would need to divide.
The first step is to divide 60 by 10. The answer will be 6. This means that six droplets will fall for every minute.
60/10 = 6
This gives us a unit rate to work with.
6:1 or [tex]\frac{6}{1}[/tex] or 6 droplets per minute
All you have to do is multiply.
[tex]\frac{6}{1} * 6[/tex] (the minutes)
Your answer should be 36 droplets of water have fallen into the pipe in 6 minutes.
Best of Luck!
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?
Answer:
3 pants and 5 shirts
Step-by-step explanation:
x+y=8
28x+12y=144
-12x-12y=-96
16x=48
x=3
In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?
Answer:
AC = 9
Step-by-step explanation:
We solve using Pythagoras Theorem
The formula is given as:
a² + b² = c²
Where:
AC = a = ?
AD = b= 12
DB = c = 15
Hence,
a² + 12² = 15²
a² = 15² - 12²
a² = 225 - 144
a² = 81
Square root both sides
√a² = √81
a = 9
Hence, AC = 9
Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp? (5 points)
Group of answer choices
$64.00
$88.00
$155.00
$620.00
Answer:
$155.00
Step-by-step explanation:
If ∠ABC = ∠FBI, then m∠ABC − m∠FBI = 180◦ True or False
Answer:
false?
Step-by-step explanation:
Answer:
false I think but I'm not completely sure
There are 24 bottles of water in 2 cases of water. If each case of water contains the same number of bottles, what is the minimum number of cases needed to have 76 bottles of water?
Answer:
7
Step-by-step explanation:
yw
Answer:
7
Step-by-step explanation:
A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the bathtub hold when it is completely full?
Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
[tex]\frac{30}{100}[/tex] x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = [tex]\frac{1200}{30}[/tex]
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
Evaluate the expression for z = –8.
–2z =
Answer:
Z = - 8/3.
Make brainlist please
Mr. Thomson created a mosaic tile in the
shape of a square to place in his kitchen.
9 in.
9 in
Which is closest to the length of the
diagonal of the tile?
A. 10 inches
B. 13 inches
C. 15 inches
D. 17 inches
I’ll give Brainlest if it’s right!!
Answer:
C
step by step
ithink so
What is the solution to the system?
Answer:
last one
Step-by-step explanation:
because it shows that its negitive