Answers
Answer:
x = 622 (rounded to the nearest whole number value)
Step-by-step explanation:
=> Step 1: Solve for the base of top triangle;
Tan(39) = [tex]\frac{base1}{521}[/tex]
Tan(39) * 521 = base1
421.897 = base1
=> Step 2: Solve for the base of the bottom triangle;
Tan(21) = [tex]\frac{Base2}{521}[/tex]
Tan(21) * 521 = Base2
199.993 = Base2
=> Step 3: Finding x;
Base1 + Base2 = x
421.897 + 199.993 = x
621.89 or 622 = x
Hope this helps!
Related Questions
If a quadratic function is concave down, which of the following is true?
a is positive
a is negative
a is zero
Answers
Answer:
a is negative i think
Find the area of this circle. Use 3 for T.
A = r2
10 ft
[?] ft2
Answers
Step-by-step explanation:
Area of circle =πr²
3×5×575ft²stay safe healthy and happy.Answer:
The area is 75
Step-by-step explanation:
Because 10/2 is 5
5x5=25
25x3=75
What is the solution of the system of equations?
y= 3x – 1-4x + 2y = 2
Answers
Answer:
X=2, y=5
Step-by-step explanation:
Y=3x-1 equation 1
-4x+2y=2 equation 2
-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e
-4x+6x-2=2 distributative property
2x=4 solve above equation
x=2
solve for y:
y=3x-1
y=3(2)-1
y=6-1
y=5
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Answers
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.
Answers
Answer:
[tex]x = \{3,4,5\}[/tex]
Step-by-step explanation:
Given
[tex]3x + 4 > 10[/tex]
[tex]x < 6[/tex]
Required
Solve
We have:
[tex]3x + 4 > 10[/tex]
Collect like terms
[tex]3x > 10 - 4[/tex]
[tex]3x > 6[/tex]
Divide by 3
[tex]x > 2[/tex]
So, we have:
[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)
This implies that:
[tex]x = \{3,4,5\}[/tex]
If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees
Answers
Answer:
[tex]\angle 2 =60[/tex]
[tex]\angle 3 = 60[/tex]
[tex]\angle 4 = 120[/tex]
[tex]\angle 5 = 120[/tex]
[tex]\angle 6 = 60[/tex]
[tex]\angle 7 = 60[/tex]
[tex]\angle 8 = 120[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 120^\circ[/tex]
See attachment
Required
Determine the other angles
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.
So;
[tex]\angle 1 + \angle 2 =180[/tex]
Make [tex]\angle 2[/tex] the subject
[tex]\angle 2 =180 - \angle 1[/tex]
[tex]\angle 2 =180 - 120[/tex]
[tex]\angle 2 =60[/tex]
[tex]\angle 1[/tex] , [tex]\angle 4[/tex], [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.
So;
[tex]\angle 4 =\angle 1 = 120[/tex]
[tex]\angle 5 =\angle 1 = 120[/tex]
[tex]\angle 8 =\angle 1 = 120[/tex]
Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex], [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.
So;
[tex]\angle 3 =\angle 2 = 60[/tex]
[tex]\angle 6 =\angle 2 = 60[/tex]
[tex]\angle 7 =\angle 2 = 60[/tex]
taylor's little sister is 3 feet and 4 inches tall. there are 2.54 centimetres in one inch. what is the height of taylor's sister in centimetres
Answers
Answer:
101.6 cm
Step-by-step explanation:
3 ft = 36 in
36 in + 4 in = 40 in
40 * 2.56 = 101.6 cm
Help .What is the measure of angle A?
Answers
Answer:
58
Step-by-step explanation:
When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?
Answers
Answer:
23.33 (rounded down 23)
Step-by-step explanation:
Laura is walking for a local charity She earns 75 cents for every lap she walks How much does she earn for walking 50 laps
Answers
Answer:
She earns $ 37.5 by walking 50 laps
Step-by-step explanation:
This method is called unitary method.
If we know the value of 1 unit of an item we can calculate any number of units of item.
For 1 lap she earns 75 cents.
She walks 50 laps.
She earns for 50 laps = 50*75= 3750 cents
Now we have to converts cents into Dollars for convenience.
1$ = 100 cents
3750 /100 = $ 37.5
Which equation is equivalent to 3(1 – x) = 2x - (6x+3)?
Answers
Answer:
3-3x=-4x-3
Please correct me if I am wrong.
Step-by-step explanation:
Option A is equivalent to 3(1 – x) = 2x - (6x+3) That is :
3 – 3x = -4x+3
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
3(1 – x) = 2x - (6x+3)
multiply 3 with inside the parenthesis in the left side of equation :
3 – 3x = 2x - (6x+3)
subtract 2x with 4x and simplify :
3 – 3x = 2x - 6x+3
3 – 3x = -4x+3
this result is equivalent to option A which will give the same result.
Therefore, Option A is equivalent to 3(1 – x) = 2x - (6x+3).
Read more about expressions at :
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If Malik purchases an iced coffee drink for $5.69 and leaves a $1 tip, what percentage did he tip?
Answers
Answer:
Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.
Can someone help me with this
Answers
Answer:
Options A, C, and F
Step-by-step explanation:
I NEED HELP WITH THIS ASAP PLEASE
Answers
Answer:
25.7, hope this helps
Step-by-step explanation:
Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces.
Answers
Answer:
the red cup contains the highest amount of tomato juice
the blue and yellow cup contain the same amount of juice
the difference between the highest amount and the lowest is 10 ounces
Step-by-step explanation:
convert all the other measurements to ounces
i cup = 8 ounces
6 x 8 = 42
1 p = 16 ounces
16 x 2 = 32
Pre calculus
Will every function have a hole? Why or why not?
Answers
Answer:
No, not every function will have a hole. This is considered a special case. A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.
Amy has a jar of jelly beans. In the jar there are 14 red jelly beans, 22 blue jelly beans, 12 yellow jelly beans, and 8 green jelly beans. What is the probability that amy will randomly select a red jelly, eat it, and then select a green jelly bean?
Answers
Answer: G
Step-by-step explanation:
probability of picking a red jelly first = 14/56 or 1/4
probability of picking a green jelly next = 8/55
1/4*8/55 = 2/55
Which of the following phrases describes the expression 12−2x?
A
2 times a number decreased by 12
B
2 decreased by 12 times a number
C
a number times the quantity 12 decreased by 2
D
12 decreased by 2 times a number
Answers
Answer:
D
Step-by-step explanation:
it's self explanatory
12 is being decreased by 2x (x is a variable for a number)
Tony's Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be
used to find the sale price.
175.0 23(175)
23.17523)
175 - 0230175)
23-17523)
Answers
Answer:
this doesn't make any sense.
A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.
Answers
Answer:
The manufacturer's claim is not supported
Step-by-step explanation:
The time duration the battery of the foldable drone is said to last, μ = 4 hours
The number of drones that were tested, n = 10 drones
The sample mean, [tex]\overline x[/tex] = 4.2 hours
The standard deviation, s = 0.4 hours
The hypothesis test level of significance = 0.5
The null hypothesis, H₀; μ = 4
The alternative hypothesis, Hₐ; μ ≠ 4
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
We get;
[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]
Therefore, the test statistic, t ≈ 1.58
The degrees of freedom, d. f. = n - 1
For n = 10, we have;
The degrees of freedom, d. f. = 10 - 1 = 9
From the t-table at 0.5 level of significance, the critical-t = 0.7
Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.
Estimate
9.7 + 42.9
HURRY PLEASE <3
Answers
Answer:
52.6 or you can make it 52.5
Step-by-step explanation:
Find the value of x ???????????? V
Answers
Step-by-step explanation:
By using formula of h^2=p^2+b^2
h=20
p=x
b=10
Now,
p=root h^2-b^2
x=root 20^2-10^2
x=root 400-100
x=root 300
x= 10root3
Someone help me out with this
Answers
yes yes yes yes yes
I think it’s the first one, am I correct?
Explain!
Answers
Answer:
yes by SAS
Step-by-step explanation:
EN = RP
EM = PQ
Angle N = Angle R
1/2 2/3 3/4 the average
Answers
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
Which of the following expressions represent “subtract 17 from x”
A. 17-x
B. x-17
C. -17x
D. -x-17
Answers
Answer:
B. x - 17
Step-by-step explanation:
It says to subtract 17 from x.
Answer:
B. x-17
Step-by-step explanation:
Choose the function whose graph is given by:
A. y= -sin x + 2
B. y= sin x + 2
C. y = cos x-2
D. y = -COS X + 2
Answers
Answer: y= sin x+2
Step-by-step explanation:
Option b. equation y= sin x + 2 is showing the given graph.
What is function?A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
The graph of equation y= sin x + 2 is showing in the picture.
Hence, equation y= sin x + 2 is showing the given graph.
Learn more about function:
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what is the interquartile range of the data shown in the box plot???
HELP
Answers
Answer: 14
Step-by-step explanation:
Take the values at either end of the box (80 and 66) and subtract.
Ayoub is driving to France for his holiday.
He will drive a total distance of 300 miles. Ayoub sets off at 07:15.
It takes him 2.5 hours to travel the first 125 miles.
Use this information to estimate the time Ayoub will arrive.
Answers
Answer:
10:30 hours
Step-by-step explanation:
Total distance=300 Miles, Start Time=07:15
Distance travelled so far is 125 miles for 2.5 hours
First we need to calculate Ayoub's speed as follows
Speed=Distance/Time
=125miles/2.5hour
=50 miles/hr
The calculate the remaining distance
=300-125
=175 Miles
Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is
Time=Distance/speed
Substituting the values
Time=175/50
=3.5 hours
The time he will arrive at Paris is
07:15+03:30
=10:30 hours
In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com
Question 2
First calculate the time taken to travel from woodpine to Westray
Time=Distance/ Speed
=32.5/65
=0.5 hours or 30 minutes
Next we calculate the average speed
Average speed is calculated by taking the total distance divided by total time taken
Total distance =32.5+100
=132.5KM
Total time=2+0.5
Average speed=132.5/2.5
=53km/
N
Which equation represents a proportional relationship?
Y=x+1/3
Y=3X+1/3
Y=1/3X
Answers
Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?