Answer:
7.698 m
Step-by-step explanation:
From the question,
Faisal's distance to the flagpole = 30 m
angle of elevation of its top = 12.4°
angle of depression of its bottom = 2.1°
Thus, the height of the flagpole is divided into two parts. Let the upper part be represented by x and the lower part by y.
From the triangle of the upper part (elevation), we have;
tan 12.4° = [tex]\frac{x}{30}[/tex]
x = 30 × tan 12.4°
= 30 × 0.2199
= 6.597 m
From the triangle of the lower part (depression), we have;
tan 2.1° = [tex]\frac{y}{30}[/tex]
y = 30 × tan 2.1°
= 30 × 0.0367
= 1.101 m
The height of the flagpole = x + y
= 6.597 + 1.101
= 7.698 m
The height of the flagpole is 7.698 m.
A hair stylist can work for 9 hours
a day. A hair color takes 1 hours
and a haircut takes 20 minutes. If
the stylist schedules 3 hair colors
each day, which inequality
represents the number of haircuts,
c, that he can do?
A.)20c + 3(1.5) < 9
B.)c ≥
C.)20c ≤ 4.5
D.)c + ≤ 9
Answer:
I believe its A
Step-by-step explanation:
What is the leading coefficient of the polynomial?
3x2 + 5x3 − 4x4 − 7x
Answer:
-4
Step-by-step explanation:
Rearranging the terms of this polynomial in descending order by powers of x, we get 3x2 + 5x3 − 4x4 − 7x => -4x^4 + 5x^3 + 3x^2 - 7x.
-4x^4 is the leading power of x, and -4 is the "leading coefficient" of the polynomial.
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 9 yards and b = 40 yards, what is the perimeter?
Answer: 90 yards
Step-by-step explanation: Let me know if you need an explanation.
Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right
Please answer this math question !! Thank u !! Will give brainliest !!
Answer:
Sharon has 18 cards and Brendan has 13
Step-by-step explanation:
you do 31-5=26
26/2=13 these are both of their cards
u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan
can i have brainliest
Can somebody please help me with c? Thanks.
Answer:
1300
Step-by-step explanation:
2600 x 0.5= 1300
Please help, having trouble with geometry word problems. Tysm if you do :)
Hi!
So let's start with some variables.
w is width
L is length.
The length is 4 less than 5 times the width. Let's put that into an equation.
L = 5w - 4
The perimeter is 76.
The perimeter is L + L + w + w or
perimeter = 2L + 2w.
Which means that 1/2 of the perimeter = L + w.
We know the perimeter is 76, so half of 76 is 38.
38 = L + W.
Let's put length in terms of width and plug in the previous equation.
38 = 5w - 4 + w
Add the same variables
38 = 6w - 4
simplify
42 = 6w
w = 7
And plug that into the length equation that we had above to get
L = 35 - 4
L = 31
The correct answer is C: 7, 31
Answer:
1. C. 7, 31 cm
2. A. 43°, 137°
Step-by-step explanation:
1.
A. 14+14+66+66=160 (incorrect)
B. 7+7+27+27= 68 (incorrect)
C. 7+7+31+31= 76 (correct)
D. 7+7+39+39= 92 (incorrect)
For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.
2.
Supplementary angles add up to 180°
The formula is x° × 5 = y° × 2 - 59
A. 43° × 5 = 137° × 2 - 59 (correct)
B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)
C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)
D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)
For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.
Find the measurement of the angle in the given picture
Is the relation {(1, 3), (–4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not? Yes, the range value 3 corresponds to two domain values, 1 and 2. No, the range value 3 corresponds to two domain values, 1 and 2. No, there is no value in the domain that corresponds to more than one value of the range. Yes, there is no value in the domain that corresponds to more than one value of the range.
Answer:
The answer is D.
Step-by-step explanation:
The relation is indeed a function because of the reason as described by choice D.
A function is relation that maps a set of elements known as inputs to another set of elements known as the outputs, such that each input element is mapped to exactly one output element
The relationship between the given values is a function and, the correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range
The reasons the selected option are correct is as follows:
The given ordered pair are presented in a tabular form as follows:
[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right][/tex]
In a function, each value in the domain corresponds with one element in the range. Therefore, if two elements in the domain corresponds to one element in the range, the relationship is not a function
Therefore;
[tex]\begin{array}{|c|cc|}\mathbf{ x}&&\mathbf{y}\\1&&1\\1&&2\\1&&3\\1&&4\\1&&5\end{array}\right] \ Is \ not \ a \ function[/tex]
[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right] \ Is \ a \ function[/tex]
In the table above, each element in the domain appear only once, and therefore, each element in the domain correspond or gives only one value in the range, while the element 3 in the range corresponds to 1, and 2 in the domain. However, the range are the output values of the function, and therefore, the data satisfies the relationship of a function
The correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range
Learn more about functions here:
https://brainly.com/question/6052900
solve 5kx+6=7kx for x
Answer:
7kx-5kx=6
2kx=6
x=3/k
Step-by-step explanation:
ur welcome my guy
Answer:
The answer is 3/k .
Step-by-step explanation:
First you have to move all the related terms to one side :
[tex]5kx + 6 = 7kx[/tex]
[tex]6 = 7kx - 5kx[/tex]
[tex]2kx = 6[/tex]
Next, you have to solve it :
[tex]x = 6 \div 2k[/tex]
[tex]x = 3 \div k[/tex]
[tex]x = \frac{3}{k} [/tex]
w^2(x+8)+z(x+8)=( )(x+8) find the missing factor PLEASE!
Answer:
w^2(x+8)+z(x+8)= (w^2+z)(x+8)
Step-by-step explanation:
This question uses concepts from grouping. Since the second term (x+8) is a common term on the left side of the equation, we can pull it out. This would leave (w^2+z) left.
I need help with this question
Answer:
you can solve like this i think it is correct but i am not sure
Can someone help me with this please
Answer: Bladder
Step-by-step explanation:
The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.
The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 900 hours and a standard deviation of 55 hours. Out of 720 freshly installed light bulbs in a new large building, how many would be expected to last between 800 hours and 1030 hours, to the nearest whole number?
Answer: 689
Step-by-step explanation:
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!
Answer:
39,8
Step-by-step explanation:
the H represents 39,8
Multiply the following complex numbers:
(5+3i)(4+ 2i)
A. 14-22i
O B. 14+ 22i
O C. 26 - 22i
O D. 26 + 22i
Answer:
B, or 14 + 22i.
Step-by-step explanation:
When multiplying complex numbers, use the FOIL method.
Therefore:
(5 + 3i)(4 + 2i)
FOIL the equation:
5×4 + 5 × 2i + 3i × 4 + 3i × 2i
Simplify. Remember that i² = -1.
20 + 10i + 12i -6
Combine like terms:
14 + 22i
Therefore, the solution is B, or 14 + 22i.
The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options. 63%, 63%, 63% 66%, 69%, 72% 66%, 62%, 58% 63%, 65%, 67% 67%, 72%, 77%
Answer:
B, D, and E
Step-by-step explanation:
A moving truck company charges a flat fee of $75 to rent the truck, plus $15 per day. 1:What is the total cost (flat fee and daily charge) to use the truck for one day? 2:What is the total cost for x days? C:Graph the cost of the truck rental over a period of 14 days, using days as the units of time. Be sure to label your axes and scale them by labeling each gridline with a number.
Answer:
Step-by-step explanation:
you add 75 to 14 then x that buy 5 then divide by 2
=35x+
75/2
Answer:
see below
Step-by-step explanation:
y = 75+ 15x where x is the number of days and y is the cost
Let x = 1
y = 75+15(1)
y = 90 for one day
for x days
y = 75+15x
I need help. Find the surface area.
Answer:
253.5π
Step-by-step explanation:
Surface area of cylinder: 2πrh+2πr^2
Height: 13, Radius: 6.5
A = 2π6.5(13)+2π6.5^2
A = 169π + 84.5π
A = 253.5π
Write the word sentence as an inequality. A number b is at least -3.
Answer:
b>=3
Step-by-step explanation:
Which graph represents a proportional relationship? On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a curved line curves at (0, 0). On a coordinate plane, a line crosses the y-axis at (0, 0).
Answer: On a coordinate plane, a line crosses the y-axis at (0,0)
Step-by-step explanation:
A proportional relationship has the form:
y = k*x
where k is the constant of proportionality.
only from looking at this we can conclude:
This is a linear equation.
The slope is k.
The y-intercept is equal to zero.
For example, if we have x = 0 then:
y = k*0 = 0
then this line passes through the point (0,0)
then the correct option is:
"On a coordinate plane, a line crosses the y-axis at (0,0)"
Answer:
D
Step-by-step explanation:
Patty made a banner that has an area of 96 square inches. The length and width of the banner are whole numbers. The length is 6 times greater than the width. What are the dimensions of the banner?
Answer:
The length of the banner is 24 inches and its width is 4 inches.
Step-by-step explanation:
Let the length of the banner be L.
Let the width of the banner be W.
The length is 6 times greater than the width. This means that:
L = 6W
The area of the banner is:
A = L * W = 6W * W = [tex]6W^2[/tex]
The are of the banner is 96 square inches. This implies that:
[tex]6W^2[/tex] = 96
=> [tex]W^2[/tex] = 96 / 6 = 16
W = [tex]\sqrt{16}[/tex]
W = 4 inches
The length, L, will be:
L = 6 * 4 = 24 inches
The length of the banner is 24 inches and its width is 4 inches.
At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?
Answer:
There are 8 number of hairy dogs.
Step-by-step explanation:
It is given that:
Number of small dogs (Let it be [tex]n(A)[/tex]) = 9
To find:
Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?
Also given the following things:
Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15
Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2
We can use the following formula:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.
Putting the values in above formula:
[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]
Hence, the number of hairy dogs are 8.
Help please........................
Answer:
70,000$
Step-by-step explanation:
Thanks so much for a word document
Answer:
What do you need,and what's the question
Find the measure of each angle indicated.
Answer:
53
Step-by-step explanation:
Left triangle: Missing angle 40. 80+60=140, 180-140=40.
40+49=89
180-89=91
91+36=127
180-127=53
Answer:
? = 53°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
The measure of the third angle of the triangle on the left is
third angle = 180° - (60 + 80)° = 180° - 140° = 40°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
40° + 49° = 89° is an external angle of the triangle on the right, thus
? + 36 = 89 ( subtract 36 from both sides )
? = 53°
Solve the system of equations please:
y=(x^2)+3x-6
y=x+2
Answer:
(- 4, - 2 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3x - 6 → (1)
y = x + 2 → (2)
Substitute y = x² + 3x - 6 into (2)
x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
what is 4 times 4 divided by twenty eight then multiplied by five
Answer:
2 6/7Step-by-step explanation:
4 x 4 = 16
16/28 = 4/7
4/7 x 5 = 20/7
2 6/7
I'm always happy to help :)
What this question?????????
Answer:
A. [tex]\frac{3}{4} = \frac{21}{28}[/tex]
Step-by-step explanation:
[tex]\frac{21}{28}[/tex] ÷ [tex]\frac{7}{7} = \frac{3}{4}[/tex]
21 ÷ 7 = 3
28 ÷ 7 = 4
When a grizzly bear hibernates it's heart rate drops to 10 bpm which is 20% of its normal value what is a grizzly bear is normal heart rate when not hibernating
Answer:
The normal heart rate of the bear is 50 bpm
Step-by-step explanation:
20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.
So we can write the equation:
[tex]0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50[/tex]
Solve [4x +2] =6
Select one:
O a. 1
b. 2
O c. 1 or -2
O d. -1 or 2
Answer:
x=1
Step-by-step explanation:
Steps:
1: Step 1: Subtract 2 from both sides.
4x+2−2=6−2
4x=4
2: Step 2: Divide both sides by 4.
4x4=44x=1
Answer: x=1
Hope this helps.
Answer:
1
Step-by-step explanation:
Given expression:
4x+2=6
Bringing 2 to the other side, it becomes negative..
4x=6-2 = 4
4x=4
again 4 brought to rhs n divided..
x=4/4
x= 1
So the correct option is (a)
Express the form 1:n
Give n as a decimal
20 : 4
Answer:
1 : 0.2 is the answer I think