9514 1404 393
Answer:
9.58 units
Step-by-step explanation:
The area is given by the formula ...
A = bh
Solving for height, we get ...
h = A/b
Filling in the given values, we find the height to be ...
h = (115 u²)/(12 u) ≈ 9.58333... u
The height is about 9.58 units.
This morning, the cafe served 8 coffees in all, 75% of which were regular. How many regular coffees did the cafe serve?
Answer:
6 regular coffees. Thank it if its helpful, thank you!
Step-by-step explanation:
75% of 8 is 6
Reasoning:
75/100*8/1=600/100
600/100=6!
Answer:
Regular coffee served by cafe = 75%* 8
= 75/100*8 = 6 coffees
Step-by-step explanation:
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
A: 4x − y = −6
B: x + 4y = 7
C: x − 4y = −9
D: 4x + y = 2
Answer:
(B) x + 4y = 7
Step-by-step explanation:
Graph the system of equations. { -x +2y = -8, 2x + y =6. Will Mark Brainliest. Need ASAP
Answer:
Graph the -x+2y=-8 as y=1/2x-4
and 2x+4=6 as y=-2x+6
Step-by-step explanation:
hope you understand how to graph y=mx+b equations.
The time it takes to do a job is inversely proportional to the number of workers. if 8 workers can do a job in 6 days, then 16 workers can do the same job in how many days
Answer: 16 workers will take 3 days
Step-by-step explanation:
First write down what the question gives you
Time = k/amount of workers
Then substitute the values
6 days = k/8 workers
Change the subject to solve for k
6 days x 8 workers = k
48 = k
Now solve The question using the found value for k with the rewritten formula
Time = k/amount of workers
? days = k/16 workers
? Days = 48/16
= 3 days
6y + 15 = A (2y +B)
Find the values represented by
A and B.
A. A = 3 , B = 3
B. A = 2 , B = 5
C. A = 3 , B = 5
D. A = 6 , B = 15
Please guys give me the answer
Step-by-step explanation:
C. A =3 , B = 5
6y + 15 = 3 ( 2y + 5 )
A = 3
B = 5
Rectangle PQRS is shown with its diagonals, PR and QS.
Rectangle P Q R S is shown. Diagonals are drawn from point P to point R and from point S to point Q and intersect at point T.
What type of triangle is △STR?
right triangle
equilateral triangle
isosceles triangle
scalene triangle
Answer:
the triangle is an isosceles triangle
The type of triangle STR is Isosceles triangle
Properties of a rectangleOpposite side are parallelOpposite sides are congruentOpposite angles are congruentDiagonal are congruent and they bisect each other.Since the diagonal bisect each other, the triangle STR formed has two opposite sides equal to each other and the base angle of the triangle STR are congruent.
Therefore, triangle STR is an Isosceles triangle.
Isosceles triangle have two of it sides equal to each other.
learn more on rectangle here: https://brainly.com/question/2229933
1. A is a quadrilateral with exactly one
pair of parallel sides.
AABC is similar to ADEF.
Find x.
perimeter of triangle DEF= 60
True or false you can rely solely upon induction to prove that your conclusion is correct
Answer: You can rely solely upon induction to prove that your conclusion is correct is a FALSE STATEMENT. Inductive reasoning is the logical method that is used to yield a probable conclusion with the help of a specific instances
Step-by-step explanation: i hope its correct :>>
write the exact value of the side length of a square with the given area. if the exact value is not a whole number, estimate the length.
100 square units
95 square units
36 square uits
30 square unts
mia's hair was 17 inches long, two years later it was 30 inches long. What was the percent increase, to the nearest hundredth, of mia’s hair length?
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
What are the measures of < 1 and < 2. Show your work or explain your answer.
Plss show how you got your answer.
Plsss 15 points
Answer:
m<1 = 105°
m<2 = 75°
Step-by-step explanation:
Since lines c and d are parallel to each other, therefore:
m<2 = 75° (corresponding angles are congruent)
m<1 + m<2 = 180° (linear angle pair)
Substitute
m<1 + 75° = 180°
Subtract 75 from both sides
m<1 = 180° - 75°
m<1 = 105°
what is the slope of the line 2x +3y =12 ?
the sum of 3 times mand 4 times m
Answer:
7mStep-by-step explanation:
Given ,
Sum of 3 times m = 3m
And 4 times m = 4m
Hence,
Sum is = 3m + 4m = 7m (Ans)
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
Find the center and radius of the circle whose equation is given below: (x-1/2)2+(y-6)2=5
9514 1404 393
Answer:
center: (1/2, 6)
radius: √5
Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When we compare this to the given equation:
(x -1/2)^2 +(y -6)^2 = 5
we see that h=1/2, k=6, and r^2=5.
The center is (h, k) = (1/2, 6); the radius is √5.
What is the square root of -1?
HELP ASAP I WILL GIVE BRAINLIST
Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person
Answer:
A: the function is 537(0.3x)
B: so we just plug in the numbers where x is that amount of years so
52 years from 1970 so 2022
537(1.56)
x=837.72
so the answer is 838
Hope This Helps!!!
Grace swam 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. How many kilometers did she swim in all? Use paper to show your work. Select the correct answer.
Answer: 0.85 km
Step-by-step explanation:
Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.
Add.
0.6+0.25= 0.85 km
An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is
Answer:
24 steps
Step-by-step explanation:
Given
[tex]Step\ 1 = 4[/tex]
[tex]Step\ 2 = 3[/tex]
[tex]Step\ 3 = 2[/tex]
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
[tex]n = Step\ 1 * Step\ 2 * Step\ 3[/tex]
[tex]n = 4*3*2[/tex]
[tex]n = 24[/tex]
(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 66 degree as reference angle
using sin rule
sin 66=opposite/hypotenuse
0.91=x/16
0.91*16=x
14.56=x
14.6=x (after converting it to nearst tenth)
Express 1.2 km as a percentage of 300 m
Answer:
1.2km is 400% of 300m
Step-by-step explanation:
1 km=1000m
So,1.2 km=1000*1.2=1200m
Let 1.2km(or 1200m) be x% of 300 m
By the problem,
300*x/100 = 1200
Or, 3x=1200
Or,x=1200/3=400
1.2km is 400% of 300m
HCF Of 14608 And 720
Answer:
16.
Step-by-step explanation:
The highest common factor between the two is 16.
Answer:
GCF(14608,720) = 2⁴
Step-by-step explanation:
Factor both numbers:
14608 = 2⁴ * 11 * 83
720 = 2⁴ * 3² * 5
Therefore the greatest common factor is 2⁴
please help me with this question
Answer:
280
Step-by-step explanation:
p stands for cans of pop. if each can of pop is 35, then you need to multiply 8 by 35
A bag of candies contains 5 candies that are orange. The probability of reaching into the bag, taking 1 candy from the bag without looking, and getting an orange candy is 18 . How many candies in the bag are NOT orange? A:13 candles B:32 candles C:40 candles D:35 candles
Answer:
13
Step-by-step explanation:
18-5=13
From her eye, which stands 1.63 meters above the ground, Samantha measures the
angle of elevation to the top of a prominent skyscraper to be 18°. If she is standing at
a horizontal distance of 201 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Answer:66.9 meters
Step-by-step explanation:
tan 18/1=x/201\
20tan18=x
201 tan 18=x
x=65.308858...
65.308858...+1.63= 66.938858...
≈ 66.9 meters tall
The height of the skyscrapers is 66.9 meters.
Given
From her eye, which stands 1.63 meters above the ground, Samantha measures the angle of elevation to the top of a prominent skyscraper to be 18°.
If she is standing at a horizontal distance of 201 meters from the base of the skyscraper,
The angle of elevation;The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.
Then,
The height of the skyscrapers is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}[/tex]
Substitute the values in the formula
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\rm Tan18=\dfrac{x}{201}\\\\x = tan18\times 201\\\\x=65.30[/tex]
Therefore,
The height of the skyscraper is;
= 65.30 + 1.63 = 66.9
Hence, the height of the skyscrapers is 66.9 meters.
To know more about the angle of elevation click the link given below.
brainly.com/question/12992313
how many years (to two decimal places) will it take an investment of $17,000 to grow to $41,000 if it is invested at 2.95% compounded continuously
Answer:
30 years
Step-by-step explanation:
Given data
P=$17,000
A= $41,000
R=2.95%
the expressio for the time is
t= ln(A/P)/r
t= ln(41,000 /17000)/0.0295
t= ln(2.41176)/0.0295
t= 0.8803/0.0295
t= 29.8
about 30 years
What is in the shape of a triangular pyramid and has a height of 10 inches the area of the base of the container is 12 in.² what is the volume of the figure actually inches
Answer:
60 cubic inches
Step-by-step explanation:
if its a triangle you have to divide it by 2 because its half of a square so its half of an answer so in this case you multiply 10 and 12 which gets you 120 divide that by 2 you get 60 and that's your answer.
