Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
Use the quadratic formula to solve 2^2 − 5 − 5 = 0
The formula is : ( -b ± √b^2 - 4ac ) / 2a
Answer:
x = 5/4 + √65/4 or x = 5/4 - √65/4
Step-by-step explanation:
I'm assuming you mean 2x^2-5x-5=0?
x = ( -b ± √b^2 - 4ac ) / 2a
x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)
x = ( 5 ± √(25 + 40) ) / 4
x = ( 5 ± √65 ) / 4
x = 5/4 ± √65/4
Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4
Please help ASAP!!!!Determine the total number of outcomes.
Choosing a random answer to the last five questions on a multiple-choice test if each
question has four answer choices.
A. 20
B. 25
C. 4
D. 9
Answer:
B
Step-by-step explanation:
Please answer correctly
Answer:
x = 20
Step-by-step explanation:
In parallelograms opposite angles are congruent and angles that are on the same line are supplementary
This means that ∠TUR and ∠URS are supplementary angles
Supplementary angles have a sum of 180°
That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180
so ∠URS = 180 - ∠TUR ( 160 )
180 - 160 = 20
Hence, ∠URS = 20°
What are the solutions of x^2 - 2x +2 = 0?
A. X= i Or x= -i
OB. X= 2+ i or x = 2- I
O C. x = 1+i or x = 1-i
O D. x = 2i or x = -2i
Answer:
C
Step-by-step explanation:
Given
x² - 2x + 2 = 0 ( subtract 2 from both sides )
x² - 2x = - 2
To solve use the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 2 + 1
(x - 1)² = - 1 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )
x = 1 ± i , then
x = 1 + i or x = 1 - i → C
Help!!!!!!! I will give the brainiest if right!
Answer:
60%
Step-by-step explanation:
First we must find how many chocolate their was. 60 - 24 = 36
36 is 60% percent of 60.
1=-10
Hello. I'm currently a freshman in highschool and ran across this question and I forgot how to do it before. Can i get some help?
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
This is a pic of my question..
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
 Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
First answer: 3
Second answer: 6
Each square you see on the cube you add +1 to get 3
But in total the cube has 6 faces
Answer:
You can see 3 faces
There are 6 faces in a cube
How many 4-digit odd numbers can you make using the digits 1 to 7 if the numbers must be less than 6000? No digits are repeated.
Answer:
Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.
The last digit must be a 1, 3, 5, or 7, because the number has to be odd.
So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.
The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.
At this point, we have everything we need to express this as an equation:
x = (2 x 4 + 1 x 3) x 6 x 5
And then we can simplify and solve:
x = (8 + 3) x 30
x = 11 x 30
x = 330
A kite is designed on a rectangular grid with squares that measure 1 cm by 1 cm. A piece shaped like a rhombus within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of space reserved for the logo.
Please help!!
please help me lol im begging yall
Answer:
28 cm
Step-by-step explanation:
the unmarked angle is 32°
180°-90°-58°=32°
cos(32°)=[tex]\frac{24}{c}[/tex]
c=[tex]\frac{24}{cos(32\textdegree)}[/tex]
=28.3
≈28
Determine if (-11, -284 ) is a solution to the given equation: y = 14x - 129 ?
Answer:
No, it is not a solution of the equation.
Step-by-step explanation:
x=-11, y=-284
14 · (-11)-129=-283
-283≠-284
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
2
3
4
5
6
H
HT
H2
83
H5
16
т
T1
T2
T3
T4
T5
1
3
3
avate Windows
ettings to coate nous
11
Q
a
SPM
428/2021
Answer:
The answer would be 3, 50%, 3/6, 1/2
Step-by-step explanation:
Half the numbers are even numbers while the other half is uneven.
1 3 5
2 4 6
BRAINLEST! Madison determined that the function f(x)=3x+24 represents the cost of texting on her current cell phone plan, where x represents the number of texts. She discovers that using the inverse function to solve for x = 36, she can predict the how many texts she can use for $36. Explain to Madison how to accomplish this, using complete sentences. You may show any algebraic work necessary to support your explanation.
Answer:
Step-by-step explanation:
Start with f(x)=3x+24 and find the inverse function:
1. Replace "f(x)" with y: y = 3x + 24
2. Interchange x and y: x = 3y + 24
3. Solve for y: 3y = x - 24, or y = (1/3)(x - 24)
This last step results in the inverse function.
Now let's test this. Let x = 36. How many texts could Madison "do" for this dollar amount? y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).
Let's go back to the original f(x)=3x+24, now letting x = 4:
f(x)=3(12)+24 = $36. This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.
Un inversionista coloca 1.000.000 en un banco durante un año a una tasa de interés del 16% capitalizable mensualmente. ¿Cual es la tasa efectiva?
Answer:
Tasa efectiva anual= 0.1722= 17.22%
Step-by-step explanation:
Dada la siguiente información:
Tasa de interes anual= 16% capitalizable mensualmente
Primero, debemos calcular la tasa nominal mensual:
Tasa mensual= 0.16 / 12= 0.01333
Ahora, usando la siguiente formula, la tasa efectiva anual:
Tasa efectiva anual= (1 + i)^n - 1
Tasa efectiva anual= (1.01333^12) - 1
Tasa efectiva anual= 0.1722= 17.22%
You work at the library for 25 25 hours each month for $7 $ 7 per hour. You also earn $40 $ 40 each month for completing yard work. Use the drop-down menus to complete the equation to show a way to calculate your total monthly income, m .
Answer:m =
(25×7) + 40 = m
Step-by-step explanation:
i just know how to do this my brain just does it
At the candy store there are 1170 candies: 1080 gumdrops and 90 chocolate bars. What is the ratio of candies to chocolate bars?
Answer: 13:1
Step-by-step explanation:
Number of candies = 1170
Number of gumdrops = 1080
Number of chocolate bars = 90
The ratio of candies to chocolate bars will be calculated thus:
= Number of candies / Number of chocolate bars
= 1170 / 90
= 13/1
= 13:1
Therefore, the ratio of candies to chocolate bars is 13:1.
What does a continuous domain mean, explain it like I'm 5 years old
Answer:
set of input values that consists of all numbers in an interval.
Step-by-step explanation:
Answer:
A continuous domain is a set of input values that consists of all numbers in an interval.
Step-by-step explanation:
I don't know how to explain it to a five year old. Sorry
What is the result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6
Answer:
3 < M - N < 9
Step-by-step explanation:
First, let's write the inequalities for these two numbers.
"a number greater than -3 and less than -2"
-3 < N < -2
"a number greater than 1 and less than 6"
1 < M < 6
We want to subtract the first one to the second one, so we want to get:
M - N
Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.
Then the minimum value of M - N happens when:
M = 1
N = -2
(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)
Then the lower bound is:
M - N = 1 - (-2) = 3
We already got:
3 < M - N
For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N
This is:
M = 6
N = -3
M - N = 6 - (-3) = 9
Then:
M - N < 9
If we take both of our results, the possible values of the subtraction are given by:
3 < M - N < 9
The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as
3 < M - N < 9
What is the result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6Question Parameter(s):
-3 < N < -2
1 < M < 6
therefore,
subtraction for lower bound
M - N = 1 - (-2)
M - N = 3
3 < M - N
subtraction for upper bound
M - N = 6 - (-3)
M - N = 9
M - N < 9
In conclusion, the possible values after subtraction are
3 < M - N < 9
Read more about Inequality
https://brainly.com/question/19491153
Solve for the area
Triangle B=6m h=4m A=
Answer:
Area is 12 square meter
Step-by-step explanation:
The formula for the area of a triangle is 1/2 (b)(h)
which is 1/2 (6)(4) which is 12.
2. Find 2 solutions to -X > 10
The two solutions of the inequality -X > 10 are -15 and -11
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve the inequality -X > 10, we need to isolate the variable X on one side of the inequality.
We can start by multiplying both sides of the inequality by -1 to get:
X < -10
This means that any value of X that is less than -10 will satisfy the inequality.
Therefore, two possible solutions to the inequality are:
X = -15 (since -15 is less than -10, the inequality -X > 10 is true)
X = -11 (since -11 is also less than -10, the inequality -X > 10 is true)
Note that there are infinitely many possible solutions to the inequality, since any value of X that is less than -10 will work.
Hence, the two solutions of the inequality -X > 10 are -15 and -11
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
The diagram shows a rectangle with length
2)
(3d + 2) am and width (d+5) cm.
3d+2
d+5
a Write an expression for the perimeter of the
rectangle.
b Given that the perimeter is 30 cm, make and
solve an equation to find a
c Find the area of this rectangle
M
Step-by-step explanation:
Given that,
Length, l = (3d+2) m
Width, b = (d+5) m
(a) Perimeter of the rectangle,
P = 2(l+b)
P = 2(3d+2+d+5)
= 2(4d+7)
P = 8d+14
(b) If P = 30 cm.
8d+14 = 30
8d = 16
d = 2
(c) l = (3(2)+2) = 8 m
b = (2+5) = 7 m
The area of this rectangle,
A = lb
A = 8×7
A = 56 cm²
Hence, this is the required solution.
HELP PLEASEEEE NO BITLYS OR LINKS
1. A coin is tossed once, what is the probability of getting a head
Answer:
The answer is...1/2
Step-by-step explanation:
1- head
1-tail
To get head-1/2
Answer:
the answer is 1/2
Step-by-step explanation:
you have 2 sides each side a 50% chance
find the volume of the figure. (3.14 as pi)
Answer:
Step-by-step explanation:
the two halfs of the triangles will make a box so just 5x8x9 =360 [tex]cm^{3}[/tex]
Please help. Thank you!!
Answer:2444
Step-by-step explanation 23333
35% of f is 14. What is f? Enter your answer as a numeric expression.
Answer:
40
Step-by-step explanation:
14/35 = f/100
35f = 14 x 100
f = 14 x 100 /35
f = 40
Answer:
40
Step-by-step explanation:
Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.
14/.35
There.
The base of a rectangular prism is 5 meters long and 4 meters wide. The prism is 6 meters high. A rectangular pyramid has the same length, width, and height as the prism. What is the ratio of the volume of the rectangular pyramid to the rectangular prism?
Volume of prism: 5 x 4 x 6 = 120 cubic meters
Volume of pyramid: 5x4 x 6/3 = 40 cubic meters
Ratio: 40/120 = 1/3
It is recommended that one fire extinguisher be available for every 4,520 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 88,140 square feet.
Answer:
There are 19.5 extinguishers needed.
Step-by-step explanation:
Given that,
One fire extinguisher be available for every 4,520 square feet in a building.
We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.
x = (Area of building)/(Area of one fire extinguisher)
So,
[tex]x=\dfrac{88140}{4520}\\\\x=19.5[/tex]
So, there are 19.5 extinguishers needed.