Answer:
57.7 m
Step-by-step explanation:
Since the distance between Isabella, the building and the angle form a right angled triangle with the height of the building = h = 50 m as the opposite side and x = distance between Isabella and the building = adjacent side and Ф = angle of elevation of the top of the building from Isabella = 30°.
So, from trigonometric ratios,
tanФ = h/x
and x = h/tanФ
= 50 m/tan30°
= 50/0.5774
= 86.6 m
Also, the distance between Alice, the building and the angle form a right angled triangle with the height of the building = h = 50 m as the opposite side and x' = distance between Alice and the building = adjacent side and Ф' = angle of elevation of the top of the building from Alice = 60°.
So, from trigonometric ratios,
tanФ' = h/x'
and x' = h/tanФ'
= 50 m/tan60°
= 50/1.7321
= 28.87 m
So, the distance between Isabella and Alice, x" = x - x'
= 86.6 m - 28.87 m
= 57.73 m
≅ 57.7 m
Please answer!!!!! I will give brainliest!
Answer: answered :)
Step-by-step explanation:
all states have a minimum wage. true or false
Answer:
OF course it's False
Step-by-step explanation:
As many places like US itself have high wages
Greg took a test. Out of 12 questions, he answered only nine correctly. What percent of the questions did he score correctly?
Answer:
9/12×100
0.75×100
=75%
Divide number he got correct by total questions, then multiply by 100.
9/12 = 0.75
0.75 x 100 = 75%
The answer is 75%
Please help me I am its in the pic
Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
10
2. g2 - h
2
3. g + h2
-21
4. g + h
-10
5. h - g
46
6. g - h
-4
Answers:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Step-by-step explanation:
1. -7 x 3 = -21
2. -7^2 = - 49
-49 + 3 = -46
3. 3^2 = 9
-7 + 9 = 2
4. -7 + 3 = -4
5. 3 - -7 = 3 + 7 = 10
6. -7 - 3 = -10
Explain what the inequality means in relation to the positions of these numbers on the number line.
Answer:
City M is colder then city L because city L is closer to the midle/the 0
Step-by-step explanation:
Could someone help? Thanks
Answer:
x = -3, y = -0.512
x = -1, y = -3.2
x = 0, y = -8
x = 2, y = -50
Step-by-step explanation:
The temperature on Wednesday was −5 degrees Celsius. By Friday the temperature fell to −10 degrees Celsius. Write and solve an equation that shows the change in temperature.
Answer: -5 + (10) = 5
Step-by-step explanation:
keep change flip -5 - (-10) you get -5 + (10) = 5
It costs $5 to buy a pen and $3 to buy a rulers If you have $50 to spend, write an inequality representing all the possible combinations of pens and rulers you could buy, then graph it.
Use the explicit or recursive formulas for the geometric sequence 45,135,140,1215,3645... To the sum of the first 9 terms of the sequence
Answer:
[tex]S_9 = 442845[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 45,135,405,1215,3645[/tex]
Required:
The sum of the first 9 terms
We'll solve this question using the explicit formula:
Because it is a geometric sequence, we first calculate the common ratio (r).
[tex]r = \frac{T_n}{T_{n-1}}[/tex]
Let n = 2;
So, we have:
[tex]r = \frac{T_2}{T_{2-1}}[/tex]
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]T_2 = 135; T_1 = 45[/tex]
So, we have:
[tex]r = \frac{135}{45}[/tex]
[tex]r = 3[/tex]
Explicitly, the sum of n terms of a geometric sequence is:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
[tex]a = T_1 = 45[/tex]
[tex]r = 3[/tex]
[tex]n = 9[/tex]
The formula becomes:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
[tex]S_9 = \frac{45* (3^9 - 1)}{3 - 1}[/tex]
[tex]S_9 = \frac{45* (3^9 - 1)}{2}[/tex]
[tex]S_9 = \frac{45* (19683 - 1)}{2}[/tex]
[tex]S_9 = \frac{45* (19682)}{2}[/tex]
[tex]S_9 = 45* 9841[/tex]
[tex]S_9 = 442845[/tex]
Hence, the sum of the first 9 terms is 442845
A coin is flipped 20 times. The coin lands on HEADS 12 times. Write the ratio for landing on heads in fraction and percent form.
Answer:
12/20
60%
Step-by-step explanation:
A fraction has a numerator and denominator
The numerator is the total number of heads
The denominator is the total number of times the coin was flipped
[tex]\frac{12}{20}[/tex]
To express in percent form, multiply by 100
[tex]\frac{12}{20}[/tex] x 100 = 60%
Calculate the value of 3x + 4y when x = -6 and y = 5.
Answer:
x = -6
-18+4y=0 => 4y=18 =>y=18/4=9/2
Y=5
3x+20=0 => x=3x= -20=> x= -20/3
Step-by-step explanation:
The value of the given expression is -38.
Simplify fractions by cancelling all the common factors from both the numerator and the denominator and writing the fraction in its lowest/simplest form.
Given an expression, 3x + 4y
Putting x = -6 and y = -5, we get,
3x(-6) + 4x(-5)
= -18-20
= -38
Hence, The value of the given expression is -38.
For more references on simplification, click;
https://brainly.com/question/2804192
#SPJ2
Pls help due ASAP
Show workings
Answer:
JP = 18
PS = 9
Step-by-step explanation:
ps being the shorter side is one third of the line JS and 1/3 of 27 is 9
jp being the longer side is 2/3 the length of js and 2/3s of 27 is 18
Answer:
JP=18
PS=9
Step-by-step explanation:
centroid divides median in the ratio 2:1
so,
JP:PS=2:1
Now take PS be x
then JP=2x
now, given JS=27
JP+PS=27
2x+x=27
3x=27
x=9
so,
PS=9
AND JP=18
f (4) = 20x -10
help
Answer:
70
Step-by-step explanation:
20(4)-10
80-10
=70
Answer:
f(4)=70
Step-by-step explanation:
f(4)=20x-10
f(4)=20(4)-10
f(4)=80-10
f(4)=70
Use the tables to help you compare the two ratios.
2 tables. One table has 2 rows. The first row has entries 3, 6, 9. The second row has entries 10, 20, 30. The second table has 2 rows. The first row has entries 1, 2, 3. The second row has entries 5, 10, 15.
Compare the ratios 1:5 and 3:10.
The ratio 1:5 is less than 3:10
The ratio 1:5 is greater than 3:10
The ratio 1:5 is equal to 3:10
The ratios cannot be compared
Answer: A. The ratio 1:5 is less than 3:10
Step-by-step explanation:
[tex]solve \: this[/tex]
............ ..
Answer:
9Step-by-step explanation:
it's the answerhope it helpsJackson spent 2/3 of his money on an antique game. He has a third of his money left which is $15.50. If he spent 2/3 of his money on the jacket, how much did he spend?
Answer:
$41.33
Step-by-step explanation:
Let the money be x
Game cost = 2/3*x
balance= 1/3*x
x/3= 15.5
Solve for x
x= 15.5*3
x=$46.5
so his money was $46.5
Amount spent on Game
=2/3*46.5
=$31
He spent 2/3 of 15.5 on Jacket
=2/3*15.5
=$10.33
In all he spent =31+10.33 =$41.33
The exponential function is graphed below.( ) y=3 3 1 xWhat is the value of the x-intercept for the function?
Answer: 2^(3) equals to 8.
So the x value is 3.
Step-by-step explanation: Hope this Helps!
45+5t=45
solving for t
Answer:
t=0
Step-by-step explanation:
The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.
Please please please help me I do not understand this
X
Complete the table
Graph
Vertical
change
horizontal
change
slope
А
B
B
С
(30,75)
(10.3.5)
(10.35)
/(1,3)
|(2.1.5)
Answer:
The complete table is shown below:
Graph Vertical Change Horizontal Change Slope
A 6 3 2
B 2 8 1/4
C 40 20 2
Step-by-step explanation:
Graph A
From graph A, it is clear that
(x₁, y₁) = (1, 3)
(x₂, y₂) = (4, 9)
Vertical change = y₂ - y₁ = 9 - 3 = 6
Horizontal change = x₂ - x₁ = 4 - 1 = 3
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [9 - 3] / [4 - 1 ]
= 6 / 3
= 2
Thus, the slope of the line = m = 2
Graph B
From graph B, it is clear that
(x₁, y₁) = (2, 1.5)
(x₂, y₂) = (10, 3.5)
Vertical change = y₂ - y₁ = 3.5 - 1.5 = 2
Horizontal change = x₂ - x₁ = 10 - 2 = 8
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [3.5 - 1.5] / [10 - 2 ]
= 2 / 8
= 1/4
Thus, the slope of the line = m = 1/4
Graph C
From graph C, it is clear that
(x₁, y₁) = (10, 35)
(x₂, y₂) = (30, 75)
Vertical change = y₂ - y₁ = 75 - 35 = 40
Horizontal change = x₂ - x₁ = 30 - 10 = 20
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [75 - 35] / [30 - 10 ]
= 40 / 20
= 2
Thus, the slope of the line = m = 1/4
Therefore,
The complete table is shown below:
Graph Vertical Change Horizontal Change Slope
A 6 3 2
B 2 8 1/4
C 40 20 2
The equation was y = 18x + 300.
What is the slope in the equation, and what does it
represent?
Answer:
slope is 18 and it represents the change in x or in your case, whatever x represents such as miles per hour or bananas eaten per minute
Step-by-step explanation:
There are 650 visitors to an art gallery on Friday if 20% of the visitors were children and 40% of the visitors were women how many men visited the Art Gallery on Friday
10 points
Question 6. A bakery offers a sale price of $2.50 for 4 muffins. What is
the price for 12 muffins? *
A $5.00
B $7.00
C$7.50
O D $10.00
Answer:
2.50 : 4
x : 12
2.50 x 12=4x
4x= 30
x=30/4
x= $7.50
C
what is the value of 4x 2 +7x−10 if x=4 pleaseeee help lol
Find the length of side x in simplest radical form with rational denominator. the short leg is root 2 and the long leg is x we don't know the hypotenuse.
Answer:
√2 + x
Step-by-step explanation:
To obtain the hypotenus, h:
Using Pythagoras rule :
h² = opposite² + Adjacent²
Opposite = √2
Adjacent= x
h² = (√2)² + x²
Take the square root of both sides
h = √2 + x
Hence, the hypotenus is √2 + x
I'll give away 60 points to the first 10 people who gets this answer right
Answer:
The 15?
Step-by-step explanation:
Answer:
balance
i
Step-by-step explanation:
mark as brainleast and fo-ll-ow me
(Show your work) Factor out the GCF: 6x3y2z4 - 7x2y5z
Answer:
x²y²z is the Greatest Common Factor
Therefore,
6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)
Step-by-step explanation:
Given the expression
6x³y²z⁴ - 7x²y⁵z
The first step is to factor out the greatest common factor from each term
6x³y²z⁴ = 2 · 3 · 6 · x · x · x· y · y · z · z · z · z
7x²y⁵z = 7 · x · x · y · y · y· y · y · z
So
G.C.F = x · x . y · y . z
G.C.F = x²y²z
Thus, x²y²z is the Greatest Common Factor
Therefore,
6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)
In ΔXYZ, x = 1.4 cm, z = 2 cm and ∠Z=37°. Find all possible values of ∠X,
Answer: 24.9
Step-by-step explanation:
Which number produces a rational number when added to 1/5?
Answer:
1/5 is a rational number
Step-by-step explanation:
"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."
Find the distance between the points ( -9, -2 ) and ( -1, 4 )
Answer:
the distance between the two points is 10
A phone is made in five different colours with three different storage capacities. How many combinations are there?
Answer:
15 possible combinations
Step-by-step explanation:
In order to find the total number of combinations possible, we need to multiply the total number of different colors by the total number of storage capacities that each phone can have. Using the values provided we would get the following arithmetic expression...
5 colors * 3 capacities = 15
Therefore, we can see that there are a total of 15 possible combinations with these variations.
