Answer: f = 100
Step 1.
We'll need to expand 3(f - 91) by multiplying a term and an expression. The following product distributive property will be used: A(B + C) = AB + AC.
In the example, the expression will consist of 2 terms.
First term: 3 and f.
Second term: 3 and -91
Rewrite 3(f - 91) like this.
3f - 3 × 91
Step 2.
Multiply 3 by 91.
3 × 91 = 273
Hence, the answer is 100.
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed between the dock and the ship. How far is the ship from the dock?
Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;
[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}[/tex]
Therefore, we have;
[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]
[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]
[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]
Therefore;
The distance from the ship to the dock ≈ 5.24 miles
What number is 1.5% of 10.89?
Please answer can give brainliest
Answer:
12 by 20 is correct ( option a)
What is the inverse equation for f(x)=x+6
Answer:
y^-1 = x - 6
Step-by-step explanation:
change f(x) to 'y'
switch 'x' and 'y'
solve for 'y'
Answer:
Step-by-step explanation:
y = x + 6
x = y + 6
y + 6 = x
y = x - 6
f^-1(x) = x - 6
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is ||32|| cm||^2||.
Find the dimensions of the rectangle.
(2 marks)
cm
~ Width =
cm
O Height =
Submit Answer
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a
1
in here to search
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
Can you explain how you got the answer as well please?
Answer:
A. 35
Step-by-step explanation:
The total amount of movies that the critic rates that we are given is 20. Now they want to figure us to figure it out with 100 movies. 20 times 5 is one hundred. We are supposed to look at the 3 star reviews, which is 7 movies. 7 times 5 is 35. Hope this helps!
Answer:
The answer is option A
Step-by-step explanation:
I have shared a file with the steps if you still can't understand so feel free to contact me through my email. Thanks.
90, 98, 96, 95, 97, 96, 99, 91, 93, 98, 96, 97, 95, 96 Part C: Tierney says that 40% of her ponies are over 96 centimeters in height. Is Tierney’s statement CORRECT? A. Yes, because there are 9 ponies with a height of at least 96 centimeters and that is 60% of her ponies. B. No, because there are 5 ponies with a height greater than 96 centimeters and that is about 36% of her ponies. C. Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller. D. No, because there are 4 ponies with a height of 96 centimeters and that is about 27% of her ponies.
Answer:
Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.
Step-by-step explanation: I think so
In the diagram, the measure of angle 1 is 116°, the measure of angle 2 is (8x)°, and the measure of angle 6 is (x + 12)°
What is the measure of angle 8, to the nearest degree?
14°
20°
52°
64°
Answer:
b
Step-by-step explanation:
Answer:
20 or B
Step-by-step explanation:
Edge 2021
Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Enter the correct answer.
Answer:
f(x) = [tex]\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Let the equation of the function is,
f(x) = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
y-intercept 'b' = 4
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, equation of the function representing the graph will be,
f(x) = [tex]\frac{1}{2}x+4[/tex]
y = 5 4x+6y= 62 Solve forx
Answer:
x = 8
Step-by-step explanation:
4(8) + 6(5) = 62
32 + 30 = 62
62 = 62
Answer:
x = 8
Step-by-step explanation:
y = 5 and 4x + 6y = 62
4x + 30 = 62
Subtract 30 from each side:
4x + 30 - 30 = 62 - 30
4x = 32
Divide each side by 4:
4x ÷ 4 = 32 ÷ 4
x = 8
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5).
PLEASE ANNOTATE SOME IMAGE AND SEND ME IM DESPERATE CORRECT ANSWER GETS LE BRAINLY
In the diagram below of circle 0, GO = 8 and
mZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?
Answer:
[tex] \frac{80\pi} [/tex]
Step-by-step explanation:
Area of shaded region = θ/360 × πr²
Where,
θ = 360 - 60 = 300°
r = 8
Plug in the values
[tex] area = \frac{300}{360} * \pi * 8² [/tex]
[tex] = \frac{5}{6} * \pi * 64 [/tex]
[tex] = \frac{5*\pi*64}{6} [/tex]
[tex] = \frac{5*\pi*16} [/tex]
[tex] = \frac{80\pi} [/tex]
Why
is 30% of 40
and 40% of 30 the
same?
Answer:
no it's different 30% would be 12 and 40% would be 16 if it was going into 30 now mark as brainliest
Answer:
In both cases you are really multiplying the same numbers together.
Step-by-step explanation:
30% of 40 would be 30 x 40 x 0.01 = 12
or 0.30 x 40 = 12
40% of 30 would be 40 x 30 x 0.01 = 12
or 30 x 0.40 = 12
Help me please. And if you can explain but if not its ok
Answer:
B. 13√3
Step-by-step explanation:
Apply pythagorean theorem:
Thus, we have:
x² = (12√3)² + (5√3)²
x² = 432 + 75
x² = 507
x = √507
x = 13√3
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms.
Answer:
1.21 kilograms
Step-by-step explanation:
Let y represent the mass of the empty basket, and x represent the mass of each ball
Create a system of equations:
3x + y = 3.64
5x + y = 5.26
Solve by elimination by multiplying the top equation by -1
-3x - y = -3.64
5x + y = 5.26
Add them together, then solve for x:
2x = 1.62
x = 0.81
Plug this back into one of the equations and solve for y:
3x + y = 3.64
3(0.81) + y = 3.64
2.43 + y = 3.64
y = 1.21
So, the mass of the empty basket is 1.21 kilograms
Answer:
1.21 kilograms
Step-by-step explanation:
Hope this helps
evaluate the following expressions -5+2(8-12)
Answer:
[tex] - 13[/tex]
Step-by-step explanation:
1) Simplify 8 - 12 to -4.
[tex] - 5 + 2 \times - 4[/tex]
2) Simplify 2 × -4 to -8.
[tex] - 5 - 8[/tex]
3) Simplify.
[tex] - 13[/tex]
Therefor, the answer is -13.
Answer:
- 13
Step-by-step explanation:
Hope this will help
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Answer:
the answers are -1, 0, 3, and 5
Step-by-step explanation:
Compute and simplify the following: (a+b+c)^3
Answer:
a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand
(a+b+c)(a+b+c)(a+b+c) is equal to (a+b+c)^3
Use the give information to prove that a || b. Given 2= 6 prove a || b
Answer:
Since 2=6 is false, there is no solution.
Step-by-step explanation:
Select three ratios that are equivalent to 7: 6.
Answer: 12:14, 21:18, 42:36
Step-by-step explanation:
Marcus makes a punch that is 1/4 cranberry juice. Write two fractions that are equivalent to 1/4.
Pls how can I round the following figures to the nearest ten, hundred, thousand (1)46,586 (2)213,340 (3)391,565
Answer:
Step-by-step explanation:
Sample Nearest 10 nearest hundred nearest thousand
1 46590 46500 47000
2 213340 213300 213000
3 391560 391600 392000
The table above is actually the answers. The rule is this:
If you want to round to the nearest 10, go to the tens place.Observe the units placeIf the units place is 5 or more, round the 10s place up one.Show the units place as a zeroIf the units place is 4 or less, leave the 10s place alone. Make the units place 0. Rounding to the tens place always gives a 0 at the units placeIf you want to round to the 100s place
Round the hundreds place using the five or more or 4 or less rule from the above rules.You should have 2 zeros at the end.If you want to round to the 1000s place
Round the thousands place using the five or more or 4 or less rule from the above rules.You should have 3 zeros at the end.The angle are supplementary find the missing angle measure
I give you brainiest if you answer correct
Answer:
12. 50
13.41
Step-by-step explanation:
To find the supplement, subtract the number from 180. For instance for 13. Do 180-139 to find the supplement.
el Mosaico Coffee & Garden gives a $10 gift card to spend if customers can guess the sequence of the day. Janeth arrives on a Wednesday and is given with the following sequence when she arrives to the counter: {13,4,-5,-14,-23,-32} She identified as [Drop Down 1] and the recursive rule for as [Drop Down 2].
Answer: Drop down 1: 13
Drop down 2: a_n-1_-9
Step-by-step explanation:
What is the equation of the inverse y = x^2 + 4?
Which word phrase represents the following
expression: 5. 3?
Answer:
Step-by-step explanation:
5.3 in words is "five point three," meaning 5 3/10 ("five and three tenths."
Answer:
five dot three which means 5.3 is five dot three
1
Line A passes through the point (-2,-8) and has a slope of 2.
Line B passes through the point (5,6) and has a slope of 2.
Answer:
y=2(5 or x) +6 should be it
Step-by-step explanation:
Write a general formula to describe the variation:
x varies inversely with the square root of y; x = 6 when y = 64.
Answer:
the last one
Step-by-step explanation:
WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!
Answer:
1, 2 * 3^3 * 17
2, 8
Step-by-step explanation:
64 is perfect sqr root 8*8 = 64
what is it please?*mmm,mmjjjjjjn
Answer:
y=-4x
Step-by-step explanation:.