Step-by-step explanation:
Since area = 27cm²
area = 3 × (x + 4)
27 = 3(x + 4)
expand the right side
27 = 3x + 12
move 12 to the left side and subtract it with 27
15=3x
then divide both sides with 3
x=5
1/3 divided by 4/5 in the simplest form
Answer:
5/12
Step-by-step explanation:
answers are in the picture above
A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertical pole at the side of the road casts a shadow 75 feet long directly down the road, as shown in the figure. Approximate the length of the pole. Round to the nearest hundredth.
The length of the pole is 19.15 feet.
What is the angle of elevation?The angle of elevation is created by the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, the angle formed is an angle of elevation.
Given:
Angle made by straight road = 15°
Angle of elevation of the sun = 57°
Length of the shadow = 75 feet
∠ACB = 90° - 57° = 33°
∠CAB = 57° - 15° = 42°
Using Sine Law to find BC i.e.length of the pole.
[tex]\frac{BC}{sin A} = \frac{AB}{sin C}[/tex]
[tex]\frac{BC}{sin 42} = \frac{75}{sin 33}[/tex]
[tex]BC= \frac{75sin 42}{sin 33}[/tex]
BC ≅ 19.15 feet (to the nearest hundredth.)
Therefore, the approximate length of the pole is 19.15 feet.
To know more about angle of elevation visit:
https://brainly.com/question/21137209
#SPJ10
!!!!!!!!!!!!!!URGENT!!!!!!!
Some information is given about each sphere. Order them from least volume to greatest volume. You may sketch a sphere to help you visualize if you prefer. Sphere A: Has a radius of 4 Sphere B: Has a diameter of 6 Sphere C: Has a volume of 64 Sphere D: Has a radius double that of sphere B.
The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.
What will be the volume of the sphere?The volume of the sphere is calculated as:
= 4/3 πr³
where r = radius
The volume of sphere A will be:
= 4/3 πr³
= 4/3 × π × 4³
= 85.3π
The volume for sphere B will be:
= 4/3 πr³
= 4/3 × π × (6/2)³
= 4/3 × π × 3³
= 36π
The volume for C is given as 64π.
The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6
= 4/3 πr³
= 4/3 × π × 6³
= 288π
Learn more about volume on:
brainly.com/question/1972490
#SPJ1
Guys I need help is this right?
Answer:
The answer is C.
Solve the inequality algebraically x^2+10x+9<0
Answer:
−9 < x < −1
Step-by-step explanation:
a) Let's find the critical points of the inequality.
x^2 + 10x + 9 = 0
(x + 1)(x + 9) = 0
x + 1 = 0 or x + 9 = 0
x = −1 or x = −9
x < −9 (Wrong)
−9 < x < −1 (Correct)
x > −1 (Wrong)
Your answer is −9 < x < −1
Margaret does the following problem incorrectly.
-0.46 + (-0.54) =
Margaret’s answer: -0.46 + 0.54 = 0.08
Please find the error and resolve the problem to help
PLS HELP FAST ALSO CAN YOU BREAK IT DOWN FOR ME
The problem is in the parenthesis
Explaination: plus and minus is minus. That means -0.46-0.54=-1.
1. Here is a graph of the equation 2y - X = 1:
The given the initial equation
[tex]2y-x=1[/tex]we can determine the part of the graph to be shaded if the equation changes to the inequality:
[tex]2y-x>1[/tex]If we make y the subject of the formula, such that
[tex]2y>1+x[/tex]Then we can put in the values of x and y at (0,0)
so that
[tex]\begin{gathered} 0>1+0 \\ 0>1 \end{gathered}[/tex]we can see that the expression is false because 0 is not greater than 1
Hence, we will shade away from the origin this means that we will shade above the line
The graph is shown below
So for question B
We will shade above the line
Question C
The points on the line are not included because the inequality does not include an equal sign
[tex]\begin{gathered} \text{Assuming the inequality were} \\ 2y-x\ge1 \\ \\ The\text{ points would have been inclusive because this inequality also have an equal sign } \end{gathered}[/tex]Determine the values of m in the equation m2 = 16.
answers are
m = ±4
m = 4
m = ±8
m = 8
Answer:
I'll assume m2 is m^2
m = ±4
Step-by-step explanation:
1. m = ±4 m^2 = 16 YES. Both -4 and 4, when squared, are equal to 16
2. m = 4 This also works, but it doiesn't allow for the possibility that m is a -4
3. m = ±8 8^2 = 64 and (-8)^2 = 64 Don't work.
4. m = 8 8^2 = 64 Doesn't work.
WILL GIVE BRAINLIEST! Please help and explain, thank you! All that is needed is to find the unknown side.
Answer:
X is 9
Step-by-step explanation:
Answer:
On the smaller figure the measures of it are 6 and 3. On the large figure one of the measures is 18. The number 6 and 18 are congruent, and 6 has be tripled in size, so in order to finding the missing measurement, you will simply triple the 3:
3 times 3 = 9
The missing measure is 9.
Step-by-step explanation:
Hope it helps! =D
HELP ME PLEASE!!!! will give brainlist , thanks
Answer:
3
Step-by-step explanation:
1. Subtract 2 y-coordinates.
11 - 8 = 3
2. Subtract the corresponding x-coordinates in the same order.
-1 - (-2) = -1 + 2 = 1
3. slope = (difference in y)/(difference in x) = 3/1 = 3
find an equation for the line that passes through the points (-5,-1) and (-1,1)
Answer:
y = (1/2)x + (3/2)
Step-by-step explanation:
(-5, -1), (-1, 1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 1 - (-1) 1 + 1 2 1
m = ------------- = ----------- = ------------ = --------- = --------
x₂ - x₁ -1 - (-5) -1 + 5 4 2
y - y₁ = m(x - x₁)
y - (-1) = (1/2)(x - (-5))
y + 1 = (1/2)(x + 5)
y + 1 = (1/2)x + (5/2)
-1 -1
---------------------------------
y = (1/2)x + (3/2)
I hope this helps!
Ten minutes after jumping into the ocean, a
diver is 25 feet below the surface. After 30
minutes, the diver has descended 75 feet. How
fast was the diver descending?
If I were to solve an equation such as 14x-3=24x+29, would I start inversing the 24x or the 14x first? I have been doing the lower variable number first this whole time but I seem to get it wrong since it's supposed to be negative.
A chef bought 3 bags of oranges at the supermarket and it cost her $8.13. Write an equation that can be used to express the relationship between the total cost(t) and the number of bags of oranges(b) purchased.
Answer:
8.13=3b
Step-by-step explanation:
8 13 is the total cost and the bags of oranges are three.
Pls tell me the answer thank you
Is there a dilation that maps shape I onto shape II? If so, what is the scale factor and is it an enlargement or a reduction?
Give me the actual answer, not explanation, for 10 points
The scale factor for the graph will be 3 and there will be enlargement.
The scale factor may be defined as the ratio of two dimensions such that one figure is large, and another is small. The scale factor is done due to the unpractical measurement of any figure. For example, if a figure is a scale copy of the scale factor of 6/2 it means 2 is converted into 6. We can use the following points to know about enlargement.
A(1, 1) ⇒ A'(3, 3)
B(2, 1) ⇒ B'(6, 3)
C(1, 2) ⇒ C'(3, 6)
D(2, 2) ⇒ D'(6, 6)
Now, to find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3, 3)/(A(1, 1)) = 3
B'(6, 3)/(B(2, 1)) = 3
C'(3, 6)/(C(1, 2)) = 3
D'(6, 6)/(D(2, 2)) = 3
which shows that the scale factor is 3.
Learn more about Scale factors at:
brainly.com/question/17040871
#SPJ9
Evaluate a + b for a = 2 and b = 3.
Answer: 5
Step-by-step explanation: Substitute the value of the variable into the expression and simplify
Which is an equivalent expression using a positive exponent?
(3/5)^-8 ÷ (3/5)^-4
(3/5)^4
(3/5)^12
(5/3)^32
(5/3)^4
The equivalent expression using a positive exponent is (5/3)⁴ .
If an expression was created utilizing integer variables, constants, and algebraic operations, it is said to be algebraic (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)
However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like such and e are not algebraic. The production of is commonly stated as a geometric expression, although the definition of e requires an infinite number of algebraic operations.An expression is said to be rational if it can be reduced to an acceptable fraction using the characteristics of arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).A positive expression is given as (3/5)⁻⁸ ÷ (3/5)⁻⁴ .
Using the properties of exponents we can calculate the expression as:
(3/5)⁻⁸⁺⁴ = (3/5)⁻⁴ = (5/3)⁴
Hence the required expression is (5/3)⁴
To learn more about expression visit:
brainly.com/question/14083225
#SPJ1
Solve the equation.
x^2 + 7x = 0
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 0\:\; or \:\: x = -7 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} + 7x = 0 [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}(x + 7) = 0 [/tex]
There are two cases now,
Case 1 :
[tex]\qquad\displaystyle \tt \rightarrow \: x = 0[/tex]
Case 2 :
[tex]\qquad\displaystyle \tt \rightarrow \: x + 7 = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = - 7[/tex]
So, the possible values of x are :
[tex]\qquad\displaystyle \tt \rightarrow \: 0 \: \: and \: \: - 7[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
[tex]x=0, \quad x=-7[/tex]
Step-by-step explanation:
Given equation:
[tex]x^2+7x=0[/tex]
Factor x from the left side of the equation:
[tex]\implies x(x+7)=0[/tex]
Using the Zero Product Property, set each factor equal to zero and solve for x:
[tex]\implies x=0[/tex]
[tex]\implies x+7=0 \implies x=-7[/tex]
Therefore, the solutions of the equation are:
[tex]x=0, \quad x=-7[/tex]
Zero Product Property: If a⋅b = 0 then either a = 0 or b = 0 (or both).
if x + ay = b then y equals
Hey there!
[tex]x+ay=b\\[/tex] for y
Add -x to both sides:
[tex]ay+x+-x=b+-x\\ay=b-x[/tex]
Now, let's divide both sides by a:
[tex]\frac{ay}{a} =\frac{b-x}{a}[/tex]
[tex]y=\frac{b-x}{a}[/tex]
Hope this helps!
Which type of triangle matches the V
following description?
A polygon with 2 sides of length 148 mm
and 2 sides of length 240 mm.
Equilateral
ölölőló
Isosceles
Scalene
Not a triangle
skill code: 1601101
Answer:
Isosceles
Isosceles triangles have 2 side the same length and one side different
Please help me asap
y=2x+2 y=-1/2x-3 what is the solution?
•(-2,1)
•(-2,-2)
•(-2,-1)
•(2,-2)
Answer: (-2, -2)
Step-by-step explanation:
Since both equations are set equal to y,
[tex]2x+2=-\frac{1}{2}x-3\\\\\frac{5}{2}x=-5\\\\x=-2\\\\\implies y=2(-2)+2=-2\\\\\therefore (x,y)=(-2, -2)[/tex]
Abby and Lexi each open a savings account on the same day. Both accounts accrue simple interest. The function f(t) = 10t + 500 models the amount of money in Abby’s account over time. The function g(t) = 11.25t + 450 models the amount of money in Lexi’s account over time. Select all the statements that are true of this situation.
The number of months where they will both have same amount in their accounts is 40 months.
How to illustrate the information?From the information given, the function f(t) = 10t + 500 models the amount of money in Abby’s account over time and the function g(t) = 11.25t + 450 models the amount of money in Lexi’s account over time.
It should be noted that the number of years when there value will be the same is:
10t + 500 = 11.25t + 450
Collect like terms
11.25t - 10t = 500 - 450
1.25t = 50
Divide
t = 50/1.25
t = 40
In 40 months, Abby and Lexi will have same amount.
Note that an overview was given as the information is incomplete.
Learn more about interest on:
brainly.com/question/2579394
#SPJ1
Please help me with this question
Read image for instructions The shape of the distribution is…
Ok, so
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity.
what is negative five times negative one third
Answer:
The answer is to this problem is five over three
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 3), (2, 6), (3, 12), (4, 24)
Write a function to represent the data.
The data in the question will be represented by a geometric sequence given by 3 (2) ⁿ⁻¹.
A geometric sequence is defined as the sequence in which the ratio between the consecutive terms of the sequence remains constant. The ratio is known as common ratio. The nth term of geometric sequence is written as a (r)ⁿ⁻¹ where a is the first term, r is the common ratio and n is the number of terms. We know from the question that the time in minutes Aurora takes to complete the task forms a sequence as 3, 6, 12, 24.....
The common ratio of this sequence is given by 6/3 = 2. The first term being equal to 3. Now, for the nth term the sequence will be represented as
a (r)ⁿ⁻¹
=> 3 (2)ⁿ⁻¹
Learn more about Geometric Sequence at:
brainly.com/question/25433204
#SPJ1
What are the leading coefficient and degree of the polynomial?
-1+23x² +8x
Which postulate or theorem proves A MNQA PNQ?
AAS
ASA
HL
SAS
Answer: AAS
More info:
https://brainly.com/question/8242110
Solve the following proportion for v.
8/17=v/7
Round your answer to the nearest tenth.
Answer:
your answer is 3.3
Step-by-step explanation: