Answers
sin U= |TS| / |US|
-> |US| = |TS| / sinU
-> x= 0.6 / sin 37°
-> x≈1,0
Related Questions
PLEASE HELP!! 50 POINTS!!
Answers
Part A
[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]
Part B
Some common choices for base:
2310Part C
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]
1.58 is the value when rounded to nearest hundredth.
Find a pair of negative integers with a sum of 5
Answers
which is 5,291, written in scientific notation?
Answers
Answer:
5.291 x 10⁶
Step-by-step explanation:
Why is 5,291,000 written as 5.291 x 106 in scientific notation?
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 5,291,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 5,291,000
New Number: 5.291000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 2 9 1 0 0 0
Decimal Count: 1 2 3 4 5 6
There are 6 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 5.291 (Please notice any zeroes on the end have been removed)
b = 6
Now the whole thing:
5.291 x 10⁶
Step 4
Check your work:
10⁶ = 1,000,000 x 5.291 = 5,291,000
A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.
Answers
Answer:
497 mStep-by-step explanation:
Use tigonometry to find the value of d
sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)Answer:
497 m (nearest whole number)
Step-by-step explanation:
As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the given diagram:
[tex]\theta[/tex] = 38°O = 306 mH = dSubstitute the values into the formula and solve for d:
[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]
[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf H=497.0263891...[/tex]
Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).
61, 98, 60, 60, 57, 81, 93
Mean
Median
Mode
Range
Answers
find the sum of all the values and divide the sum by the number of values.
[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]
[tex] = 72.86[/tex]
median:arrange the values in either ascending or descending, and find the number in the middle.
[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]
[tex] = 61[/tex]
mode:the most frequently occurred number.
[tex] = 60[/tex]
range:arrange the values in ascending order and subtract the lowest value from the highest one.
[tex]98 - 57[/tex]
[tex] = 41[/tex]
Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, and 35% of his toy cars are in the display case. What is the total number of toy cars in Kiran's collection?
Answers
35% are in display cases which means 65% are on the wall.
this means 195 cars is 65% of the collection.
to get total number of cars in the collection divide 195 by 65%
195/0.65 = 300
answer: 300 total cars
Find the value of each variable. Write your answer in simplest radical form.
Answers
Answer:
Step-by-step explanation:
Guiding Statement
You must find x before you can find y. If an altitude is dropped from the right angle to the hypotenuse, then the value of the altitude = the two parts of hypotenuse multiplied together = the altitude squared.
Formula
Perhaps, instead of all that language, it is easier just to show you this in terms of what you have been given.
Solution
x^2 = 72 Factor 72 into prime factors.
x^2 = 8 * 9
x^2 = 2 * 2 * 2 * 3 * 3 Take the square root of both sides.
√x^2 = √(2 * 2 * 2 * 3 * 3)
Rule
For every pair of equal prime factors, take 1 factor outside the root sign and throw the other one away.
√x^2 = √(2 * 2 * 2 * 3 * 3)
x = √(2 * 2 * 2 * 3 * 3) Apply the rule
x = 2 * 3 √2
x = 6√2
Now with y
a = 6√2
b = 12
c = y Use the Pythagorean Theorum
c^2 = a^2 + b^2
c^2 = (6√2)^2 + 12^2
c^2 = 36*2 + 144
c^2 = 72 + 144
c^2 = 216
c = 6 √6
answer
x = 6√2
y = 6√6
Please find x ft, pleeaase help
Answers
Answer:
x=238 plus 0
Step-by-step explanation:
think
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answers
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
How do you find the surface area of a cube if one side measures 10cm? show your solution.
Answers
Answer:
600 cm squared :)
Step-by-step explanation:
Surface area of cube: 6 x s^2
Now lets solve!!
6 x 10^2
6 x 100
600
Have an amazing day!!
Please rate and mark brainliest!!
Which inequality has the graph shown below?
Answers
ben exercises every 12 days and isabella every 8 days. both isabella and ben exercised today. how many days till they exercise together again?
Answers
Answer:
24 days
Step-by-step explanation:
lowest common multiple of 12 and 8 is
24
For them to exercise together again, the day must be a common multiplier of 12 and 8
12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]
So, their LCM is [tex]2^{3} .3 = 24[/tex]
=> After 24 days, they will exercise together again.
What is the inverse of Vx +4,
Answers
Answer:
c. X^2 - 4
Step-by-step explanation:
Replace X with Y
X = Sqrt(Y+4)
square both sides to solve for Y
X^2 = Y+4
subtract 4 from both sides
X^2 - 4 = Y
answer option C is correct
HELP ASAP!!
I really need to get my grades up and make my family proud because right now thats not going too well>
Answers
10 (as 14-4=10, 24-14=10…)
The explicit formula of this sequence is:
Because Tn=4+(n-1)•10
T1=4+(1-1)•10=4
T2=4+(2-1)•10=14
.
.
.
Therefore T8=4+(8-1)•10=74
So the answer is the second option:)
Suppose you are interested in studying whether temperature affects spatial reasoning abilities. You decide to test spatial reasoning using completion time scores for the paper-folding test with five people, repeating the test on each person with three different temperatures (40 degrees, 60 degrees, and 80 degrees Fahrenheit).
In this experiment, the null hypothesis is that:
a. There are no differences in the mean completion times among the temperatures compared
b. There are no individual differences in the completion time means
c. The completion time mean for at least one temperature is different from another
The factor of interest is the ____________, and the dependent variable is the ___________
Answers
The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".
What is a null hypothesis?This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.
This implies the temperature has no effect on the completion times of the paper-folding test.
What is the factor of interest?It is the effect of temperature because this is the factor being manipulated on purpose.
What is the dependent variable?This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.
Learn more about null hypothesis in: https://brainly.com/question/16261813
If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?
Answers
Answer:
(-5, - 10 )
Step-by-step explanation:
y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6
under a reflection in this line the x- coordinate of the point V is the same
V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6
the reflected point will therefore be 4 units below y = - 6, that is - 10 , then
V (- 5, - 2 ) → V' (- 5, - 10 )
Help?? Thanks if you do
Answers
Answer:
l = 6[tex]a^{4}[/tex] + 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then
3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )
w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1
Choose the correct definition of volume.
the amount of space a 3-dimensional object takes up
distance from one point to another
the amount of space a 2-dimensional object takes up
the distance from the bottom to the top of an object
Answers
Answer:
the amount of space a 3-dimensional object takes up
Step-by-step explanation:
Of the four definition options, the first is the only only that incorporates a three dimension explanation. The others only describe a two dimension object. Units for the first would be unit^3. The other three would only be one-dimensional "units."
He can Have Brainliest Now!
Find the x - Please help.
Answers
Answer:
x = 7
Step-by-step explanation:
the given angles are vertically opposite and are congruent , then
4x - 5 = x + 16 ( subtract x from both sides )
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
find the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answers
Answer:
heya! ^^
here , we've been given a right angled triangle along with the measure of two of its sides.
and , we've to find the measure of its third side.
so , we'll be using Pythagoras Theorem to find the measure of the third side.
but first , let's take a look at what Pythagoras Theorem is-
Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.
according to the figure ,
side AB = hypotenuse = 60 cm
side AC = perpendicular = 48 cm
side BC = base = a
now by using Pythagoras Theorem ,
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]
therefore ,
option ( 4 ) 36 is correct.
hope helpful :D
Answer:
36. (Option 4)[tex] \\ [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (BC) is aThe perpendicular (AC) is 48The hypotenuse (AB) is 60.[tex] \\ [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]
Therefore,
The measure of the third side (a) is 36.A movie theater charges $6.00 for children's tickets, and $8.75 for adult tickets. If the
movie theater made $1297.50, and there were 175 total tickets sold, how many adults
and how many children attended the movie?
Answers
(175 - x) 6 + x (8.75) = 1297.50
1050 - 6x + 8.75x = 1297.50
x = 90
y (children) = 175 - 90 = 85
An airplane flies with a constant speed
of 680 miles per hour. How long will it
take to travel a distance of 2720 miles?
Answers
4 hours
T= d/s
= 2720/680
= 4
Hope this helps!
Find the area of the figure. Use 3.14 as π.
Answers
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Answer:
D. 94.25
Step-by-step explanation:
Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle
The formula for the area of a triangle is: base x height x 1/2
11 x 10 x 1/2 = 55
To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14
So the radius is 5 since 10 is the diameter of the circle
Now we have to square that which is 25
Multiply 25 by 3.14 which is 78.5
Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25
Now you have to add those two areas and that will get your final answer
55+39.25 is 94.25
So the area for this figure is 94.25 square inches
Which expressions are equivalent to In e?
Answers
Answer:
1
log 10
Step-by-step explanation:
In e = 1
In e = log 10
Hope it helps you in your learning process.
Which of the following is NOT considered a parallelogram?
A. Rhombus
B. Rectangle
C. Square
D. Trapezoid
Answers
Answer:
Trapezoid
Explanation:
A trapezoid does not have two pairs of parallel sides.
Answer: D. Trapezoid
Step-by-step explanation:
posting this again please help^
Answers
I have no idea thank me for my help
Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.
I'm going to keep asking because I have no clue how to solve these
Answers
Answer:
219.8 yd
Step-by-step explanation:
Circumference Formula= πd or 2πr
Plug in the values. The diameter of this circle is 70 yds.
70(3.14) (replace 3.14 for π)
70*3.14=219.8 yds
Hope this helps ^^
Four congruent right triangles are cut off the corners of a square. The diagram below shows
the dimensions of thesquare and the congruent right triangles.
What is the area of the shaded part of the diagram?
A. 18 sq. in
B. 20 sq. in
C. 28 sq. in
D. 34 sq. in
Answers
Answer:
C
Step-by-step explanation:
Find area of all trinagles and subtract that by total area of square.
Evaluate 49x - 2 when x = 1
Answers
Answer:
49(1) - 2 =
49x1=49
49 - 2 = 47 is your answer
Answer:
47
__________________________________________________________
SolveIf the variable, x has an assigned value, you must multiply the number behind x by the assigned value.
[tex]49 * 1 = 49[/tex]
Lastly, subtract by 2
[tex]49 - 2 = 47[/tex]
________________________________________________________
Questions?Ask me in the comments box.
Please help!!!!!! :)
Answers
Answer:
Option D
Step-by-step explanation:
Given equation:
-4x + 2 = -14This equation can be solved by:
Isolating the variable(s) and its coefficient(s) on one side of the equation. Dividing both sides of the equation by the coefficient of "x" to isolate x.Subtracting 2 both sides of the equation (according to step 1):
⇒ -4x + 2 = -14⇒ -4x + 2 - 2 = -14 - 2⇒ -4x = -16Dividing -4 to both sides of the equation (according to step 2):
⇒ -4x = -16⇒ -4x/-4 = -16/-4⇒ x = 4Therefore, Option D is correct.
Learn more about this topic: https://brainly.com/question/27460957
Answer:
d) 4
Step-by-step explanation:
Solving for the value of x,
→ -4x + 2 = -14
→ -4x = -14 - 2
→ -4x = -16
→ x = -16/-4
→ [ x = 4 ] {option d}
Verification of the value of x,
→ -4x + 2 = -14
→ -4(4) + 2 = -14
→ -16 + 2 = -14
→ -14 = -14
→ [ LHS = RHS ]
Hence, the value of x is 4.