Answers
Round this however you need to
=================================================
Explanation:
The reference angle is 56 degrees. The side 26.5 is adjacent to this angle as it is the leg closest to the angle (in contrast to the opposite leg or opposite side that is furthest from the reference angle)
The hypotenuse is d. The hypotenuse is always the longest side. The longest side is always opposite the largest angle of a triangle.
We will use the cosine ratio as it is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
cos(56) = 26.5/d
d*cos(56) = 26.5
d = 26.5/cos(56)
d = 47.3897287242421
You use your calculator for the last step shown above. Make sure your calculator is in degree mode. Round that value however you need to.
Here is the formula of sin cos tan :
sin x = opposite/hypotenuse
cos x = adjacent / hypotenuse
tan x = opposite / adjacent
d = hypotenuse
x = the angle known in your pic
like example if in your picture:
adjacent = 26.5
if want to find the d
cos x = adjacent / hypotenuse
cos 56 = 26.5 / d
d = 26.5 : cos(56)
d = 47.390 (3 significant figures)
and if want to find the opposite
tan x = opposite/adjacent
tan 56 = opposite/ 26.5
opposite = 26.5 × tan(56)
opposite = 39.288
-> Sorry if im wrong
Related Questions
Problem Water boils at 212^\circ212 ∘ 212, degrees Fahrenheit. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis that are higher than the boiling point of water.
Answers
Answer:
t > 212
Step-by-step explanation:
Given
Boiling point = 212°F
Required
Inequality that shows temperature greater than the boiling point
From the question, temperature is represented with t.
The inequality "greater than" is represented with >
So, temperature greater than the boiling point implies that t > 212
Answer: t > 212
Step-by-step explanation:
The question says "Write an inequality that is true only for temperatures that are higher than the boiling point of water."
This means t has to be higher than 212 since it says only for temperatures that are higher than the boiling point.
But since we have to write an inequality the answer would be: t > 212.
I know I did this very late and you probably don't need it but i was bored
what is angle b in this image
Answers
Answer:
Step-by-step explanation:
you have the hypotenuse side and adjacent side, so you would use cosine (adj/hyp). since you are trying to find the angle, you use the inverse operation.
put it in the calculator and you should get 0.98176535657.
Consider the formula F = \dfrac{N\cdot M}{P}F= P N⋅M F, equals, start fraction, N, dot, M, divided by, P, end fraction, where FFF represents the fertility of soil, NNN represents the amount of nutrients in the soil, MMM represents the amount of moisture in the soil, and PPP represents the amount of pollutants in the soil. Select an appropriate measurement unit for fertility of soil.
Answers
Answer:
C. Fertility= Nutrients * Moisture / Pollutant
Step-by-step explanation:
F=NM/P
F= Fertility of the soil
N= Amount of nutrients in the soil
M= Amount of moisture in the soil
P= Amount of pollutant in the soil
F=NM/P
Fertility of the soil
= Amount of nutrients in the soil * Amount of moisture in the soil / Amount of pollutant in the soil
Fertility= Nutrients * Moisture / Pollutant
Option C is the correct answer
find the x intercept x+6y=30
Answers
Answer:
x = 30
(30, 0)
Step-by-step explanation:
The x-intercept is when the graph crosses the x-axis when y = 0. In that case, simply plug in 0 for y:
x + 6(0) = 30
x + 0 = 30
x = 30
Answer: (30,0)
Step-by-step explanation:
x-intercept can be found in the form x = my + b, where b is the x-intercept. Thus, simply turn x+6y=30 into x-6y+30, to find that the x-intercept is (30,0)
Hope it helps <3
what is the value of "c" by completing the square. x^2 - 14x +
Answers
Answer:
[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]
Step-by-step explanation:
Hello,
we need to get the discriminant = 0 meaning
[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]
And then the square is
[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]
Hope this helps
Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7
Answers
Answer: 17.75
Step-by-step explanation:
The interquartile range(IQR) is the 3rd quartile - the 1st quartile.
How to get quartiles:
First get the median:
3.5, 10.4, 16, 21.7, 27.7
10.4, 16, 21.7
16
Then find the median of the first half of data(3.5, 10.4)
(3.5+10.4)/2 = 6.95
Then find the median of the last half of data(21.7, 27.7)
(21.7+27.7)/2 = 24.7
Then to get the IQR subtract 6.95 from 24.7 to get 17.75
Hope it helps <3
Answer11.3
Step-by-step explanation:
Since there is an odd amount of values
find you lower median by taking the 3 lower numbers and using the middle number 10.4 (Q1)
then find your higher median with the 3 higher numbers and using the middle number 21.7 (Q3)
Then subtract Q3 - Q1
21.7-10.4 giving you the answer 11.3
i will mark brainliest i need help quick
Answers
Answer:
x-1
Step-by-step explanation:
| x-1| x> 1
Since x is greater than x, the absolute value will be positive so we can remove it
x-1
Lets use a number to check
Let x = 4
| 4-1| 4>1
3 which is positive
Answer:
x - 1
Step-by-step explanation:
| x - 1 |
x > 1
x is greater than 1. The absolute value is not needed, since the value inside will only be for positive integers.
x - 1
We can check by plugging x as 2.
2 - 1 = 1 (positive)
2 > 1
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm, end text long.
Answers
Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
Abigail and Liza work as carpenters for different companies. Abigail earns $20
per hour at her company and Liza earns $25 per hour at her company. Last
week, Abigail and Liza worked for a total of 30 hours and together earned atotal of $690. How many hours did Liza work last week?
Answer as detailed as possible. Thanks :)
Answers
Answer:
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
Step-by-step explanation:
Given the following :
Abigail's earning = $20
Lisa's earning = $25
Last week :
Let number of hours worked by Abigail = a
Number of hours worked by Lisa = L
Total earning = $690
Total hours worked :
a + L = 30 - - - - (1)
To obtain their total earning:
(Lisa's earning per hour * hours worked) + (Abigail's earning per hour * hours worked)). $690
($25 * L) + ($20 * a) = $690
25L + 20a = 690 - - - - (2)
a + L = 30 - - - - (1)
25L + 20a = 690 - - - - (2)
L = 30 - a
25(30 - a) + 20a = 690
750 - 25a + 20a = 690
-5a = 690 - 750
-5a = - 60
a = 12
From (1)
a + L = 30 - - - - (1)
12 + L = 30
L = 30 - 12
L = 18
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
Find the value of each trigonometric ratio.
Answers
SOH CAH TOA
Sin = opp/hyp
Cos = adj/hyp
Tan = opp/adj
7) 21/35 or 3/5
8) 21/20
9) 30/50 or 3/5
10) 40/50 or 4/5
Answer:
[tex]{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan \theta = \frac{opposite }{adjacent }[/tex]
[tex]sinX=\frac{21}{35}[/tex]
[tex]tanX=\frac{21}{20}[/tex]
[tex]sinC=\frac{30}{50}[/tex]
[tex]cosC=\frac{40}{50}[/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
[tex]\boxed{F(x)>0}[/tex]
Step-by-step explanation:
The range is the set of possible values of y (the output).
The input value x is all real numbers, because there are no restrictions on x.
When the input x is all real numbers, the output is always greater than 0.
[tex]2^{-15}= 0.00003051757[/tex]
[tex]2^{8}= 256[/tex]
[tex]2^{-4}= 0.0625[/tex]
help me please ? thank you
Answers
Answer:
what are you going to do with that?
PLEASE HELP ASAP IM REALLY TRING TO FINISH A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?
Answers
Answer:
0.16
Step-by-step explanation:
Length = 5 unitsNumber of broken sticks= 3Equal lengths = 5 units/3See the picture attached for reference.
As you see the best points are the green areas which covers 2 out of 5 zones.
Since it is same for both broken points, the probability of this is:
2/5*2/5 = 4/ 25 = 0.16Answer is 0.16
__♥__♥_____♥__♥___ Put This
_♥_____♥_♥_____♥__ Heart
_♥______♥______♥__ On Your
__♥_____/______♥__ Page If
___♥____\_____♥___ You Had
____♥___/___♥_____ Your Heart
______♥_\_♥_______ Broken
________♥_________…………….
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answers
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation:
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answers
Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle
Dustin has five hats, five shirts, five pairs of pants, and five pairs of shoes; he has one of each in blue, green, gray, silver, and gold (his five favorite colors). Dustin is picky about what he wears: he insists on his shoes being the same color as at least two other articles of clothing in the outfit. However, he refuses to wear all silver or all gold (because that's tacky). How many possible outfits can Dustin wear?
Answers
Answer:
The number of possible outfits Dustin can wear is 73 outfits
Step-by-step explanation:
The information given are;
The number of hats Dustin has = 5
The number of shirts Dustin has = 5
The number of pants Dustin has = 5
The number of shoes Dustin has = 5
The colors of Dustin's clothing are blue, green, gray, silver, and gold
Given that the shoes go with at least two other clothing of the same color, we have;
The number of ways the color of the shoes can be selected = 5 ways
The number of ways of selecting the same color for 2 of the remaining 3 clothing = 3 ways
The number of ways of selecting the color of the fourth clothing = 5 ways
The total number of ways = 5 × 3 × 5 = 75 ways
The number of ways in which all silver can be selected = 1 way
The number of ways in which all gold can be selected = 1 way
Since Dustin refuses to wear all silver and all gold, the total number of ways the outfits can be selected = 75 - 1 - 1 = 73 ways = 73 is the number of possible outfits
Therefore, the number of possible outfits Dustin can wear = 73 outfits.
a previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packers wishes to find the 95% confidense interval for the average length of a box. How many boxes do he need to measure to be accurate within 1 millimeters
Answers
Answer:
864.36 boxes
Step-by-step explanation:
In the question above, we are given the following values,
Confidence interval 95%
Since we know the confidence interval, we can find the score.
Z score = 1.96
σ , Standards deviation = 15mm
Margin of error = 1 mm
The formula to use to solve the above question is given as:
No of boxes =[ (z score × standard deviation)/ margin of error]²
No of boxes = [(1.96 × 15)/1]²
= 864.36 boxes
Based on the options above, we can round it up to 97 boxes.
ANSWER FOR 30 POINTS A 13-foot ladder is leaning against a tree. The bottom of the ladder is 5 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?
Answers
Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.
13 feet - hypotenuse
5 feet - can be a or b
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = √144
b = 12
The top of the ladder reaches 12 feet up the tree.
Hope that helps.
Answer:
12 ft
Step-by-step explanation:
These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft. The vertical side (height above ground to top of ladder) is to be found. According to the Pythagorean Theorem,
5^2 + (vertical side)^2 = 13 ft = 169, and so
(vertical side) = sqrt( 169 - 25 ) = 144 (ft)
The top of the ladder is s 12 ft above the ground.
In rectangle ABCD the diagonals intersect each other at point O and m∠ABD=30°. Find BC if AC = 16 in....
Answers
Answer:
BC = 8
Step-by-step explanation:
16 ( sin 30 degrees ) = BC
16 (0.5)
16/2
BC = 8
Give the other person brainliest they deserve it.
ASAP! I really need help with this question! Please do not send nonsense answers. Full solutions please!
Answers
Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{15}{x}[/tex] + 6 = [tex]\frac{9}{x^2}[/tex]
Multiply through by x² to clear the fractions
15x + 6x² = 9 ( subtract 9 from both sides )
6x² + 15x - 9 = 0 ( divide through by 3 )
2x² + 5x - 3 = 0 ← in standard form
Consider the factors of the product of the coefficient of x² and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to slit the x- term
2x² + 6x - x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 1(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5
Solution set is { - 3, 0.5 }
What is the slope of the line on the graph below? On a coordinate plane, a line goes through points (negative 2, negative 3), (negative 1, negative 1), (0, 1) and (1, 3). –One-half One-half 1 2
Answers
Answer:
2
Step-by-step explanation:
We can use 2 points to find the slope
m = (y2 -y1)/(x2-x1)
Using ( 0,1) and (1,3)
= (3-1)/(1-0)
= 2/1
= 2
Answer:
2
Step-by-step explanation:
Take any two points -- I'm using (0, 1) and (1, 3). You can think of slope as (change in y)/(change in x), or simply rise/run. (3-1)/(1-0) is equal to 2.
*Note: (-1/2,1/2) is not in the same line as the other four points.
A rectangular solid has edges whose lengths are in the ratio 1:2:3. If the volume of the solid is 864 cubic units, what are the lengths of the solid's edges?
Answers
Answer: 5.24 units, 10.48 units , 15.72 units
Step-by-step explanation:
Volume of a rectangular solid is given by :-
V = lwh, where l = length , w= width and h = height
Given: A rectangular solid has edges whose lengths are in the ratio 1:2:3.
Let lengths of the rectangular solid x , 2 x, 3x.
volume of the solid is 864 cubic units
Then, Volume of rectangle = [tex]x (2x)(3x) =864\ \text{cubic units}[/tex]
[tex]\Rightarrow\ 6x^3 = 864\\\\\Rightarrow\ x^3 =144\\\\\Rightarrow\ x=(144)^{\frac{-1}{3}}\approx5.24[/tex]
Lengths of rectangular solid 5.24 units, 2 (5.24) units , 3(5.24) units
= 5.24 units, 10.48 units , 15.72 units
KN is perpendicular bisector of MQ identify the value of x
Answers
Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6
Ami buys x apples and y bananas. The apples cost 15p each and the bananas cost 20p each. The total cost of Ami's apples and bananas is £1.80. a Write an equation for the total cost of Ami's apples and bananas.
Answers
Answer:
0.15x + 0.20y = 1.80
Step-by-step explanation:
Here, we are interested in writing an equation for the total cost of the apples and bananas
before we write , kindly understand that 100p = £1
So the cost of apple which is 15p will be 15/100 =£ 0.15
The cost of bananas which is 20p will be 20/100 = £0.2
Thus, the total cost of the apples bought will be number of apples bought * price of apple bought = 0.15 * x = £0.15x
The cost of bananas = number of bananas bought * price of bananas = 0.2 * y = £0.2y
So the total cost of the apples and bananas will be;
0.15x + 0.20y = 1.80
S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 40, what is the greatest possible value of S minus T
Answers
Answer :Answer: Did you get helped on this one?
Step-by-step explanation: okay yup yup have a good day OKAY
Step-by-step explanation: HAVE A GOOD ONE OKAY
Paul has four paper strips of the same length. He glues two of them together with a 4 cm overlap, and the new strip is 36 cm long. He wants to make a 30 cm long strip with the other two strips. How long should the overlap be?
Answers
Answer:
10 cm overlap required to make a 30 cm long strip.
Step-by-step explanation:
Given:
Four paper strips of the same length.
Two of them glued together with a 4 cm overlap to make a new strip which is 36 cm long.
To find:
Overlap required to make a strip which is 30 cm long = ?
Solution:
First of all, let us understand the concept of overlap.
Please refer to the attached image.
Let length of each strip be [tex]x[/tex] cm.
Given that there is 4 cm overlap resulting in new strip of length 36 cm.
The overlapping length is counted only once as clear from the figure attached.
So, Let us try to find the equation:
[tex]x +(x-4) = 36\\\Rightarrow 2x=40\\\Rightarrow x = 20\ cm[/tex]
i.e. each strip length is 20 cm.
Now, let us assume, an overlap of 'y' cm is to be made to make a new strip of 30 cm.
The equation will be:
[tex](20-y)+20 =30\\\Rightarrow y = 40-30\\\Rightarrow y = 10\ cm[/tex]
HELLLPPPP ,The value for the missing side is: 25. 4 5. None of these choices are correct.
Answers
Answer: The missing side is 5 units.
Step-by-step explanation:
Pythagorean Theorem states that a^2+b^2=c^2. Let the hypotenuse be x.
[tex]4^2+3^2=x^2\\16+9=x^2\\25=x^2\\\sqrt{25}=\sqrt{x^2}\\\left[\begin{array}{c}x=5\end{array}\right][/tex]
Hope it helps <3
As mountain climbers know, the higher you go, the cooler the temperature gets. At noon on July 4th last summer, the temperature at the top of Mt. Washington — elevation 6288 feet — was 56◦F. The temperature at base camp in Pinkham Notch — elevation 2041 feet — was 87◦F. It was a clear, still day. At that moment, a group of hikers reached Tuckerman Junction — elevation 5376 feet. To the nearest degree, calculate the temperature the hikers were experiencing at that time and place. When you decided how to model this situation, what assumptions did you make?
Answers
Answer:
The temperature at 5376 ft is approximately 63°F
The assumption made was that the temperature varies linearly with elevation
Step-by-step explanation:
The parameters given are;
Temperature at 6288 feet = 56°F = 286.5
Temperature at 2041 feet = 87°F = 303.71
We are to find the temperature at 5376 feet
Let the temperature be the y-coordinate value and the elevation be the x-coordinate value, to find the temperature, we have the temperature gradient given by the relation;
[tex]m = \dfrac{y_2-y_1}{x_2 - x_1} = \dfrac{303.71-286.5}{2041 - 6288}= -4.05 \times 10^{-3} \ K/ft[/tex]
The temperature at 5376 ft will be the temperature at 2041 added to the decrease in temperature from climbing to 5376 ft
The increase in elevation is 5376 - 2041 = 3335 ft
The decrease in temperature = 3335 ft × (-4.05 × 10⁻³) K/ft = -13 .5 K
The temperature at 5376 ft will then be 303.71 - 13.5 = 290.196 K = 62.68°F ≈ 63°F
The assumption made was that the decrease in temperature with elevation is linear.
Which expression is equivalent to x^2 • x^3?
Answers
Answer:
x^5
Step-by-step explanation:
x^2 . x^3
x^(2+3)
x^5
Calculate NL if a=25, b=27.73, and c=12
Answers
Answer:
NL=10.82
Step-by-step explanation:
Start by finding the area of the triangle. We do this by using c as the base.
1/2bh=1/2(12)(25)=150
Now that we know the area is 150, we turn the triangle so b is the base and use the formula again. This time we’re looking for the height, which is NL.
1/2bh=
1/2(27.73)h=150
13.865h=150
h=10.8186
Rounded to the nearest hundredth, it’s NL=10.82