2. Two bables born the same hospill on the same day One of the bables 18 3/4 inchesThe other boby measures 19 7/8 inches What is the difference in the measurements of the two bables ?
Answer:
1 1/8
Step-by-step explanation:
19 7/8-18 3/4
change the 3/4 to 6/8 so they the same denominator then subtract:
19 7/8 - 18 6/8= 1 1/8 inches
What is an equivalent expression for 24+49
Answer:
20 + 4 + 40 + 9
Step-by-step explanation:
20 + 4 is 24 and 40 + 9 is 49, so it's pretty much the same thing.
please help me quickly (and make aure to choose 2 options)
What is the probability that the teacher chooses a girl to answer the question?
Please answer by September 7th.
Answer:
52=11+2x where x equals the process per special exhibit
The figure below shows a flying kite. At a certain moment, the kite string forms an angle of elevation of 75° from point A on the ground. At the same moment, the angle of elevation of the kite at point B, 240 ft from A on level ground, is 45°. What is the length, in feet, of the string?
To get the measures of the angles and the sides of a triangle we use sine rule,
Option B will be the correct option.
From the triangle given in the figure,
Angle of elevation of a kite which is at point C from point B is 45°.Angle formed by the string and the horizontal at point A is 45°Let the length of the string of the kite = l feet
By applying triangle sum theorem in the given triangle ABC,
m(∠A) + m(∠B) + m(∠C) = 180°
75° + 45° + m(∠C) = 180°
m(∠C) = 180° - 120°
m(∠C) = 60°
Now apply the sine rule in the given triangle ΔABC,
[tex]\frac{\text{sin}(B)}{AC}=\frac{\text{sin}(C)}{AB}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{l}=\frac{\text{sin}(60^{\circ})}{240}[/tex]
[tex]l=\frac{\text{sin}(45^{\circ})\times 240}{\text{sin}(60^{\circ})}[/tex]
[tex]l=\frac{\frac{1}{\sqrt{2}}\times 240}{\frac{\sqrt{3} }{2} }[/tex]
[tex]l=\frac{240}{\sqrt{2}}\times \frac{2}{\sqrt{3} }[/tex]
[tex]l=\frac{480}{\sqrt{6}}[/tex]
[tex]l=\frac{480}{\sqrt{6} }\times \frac{\sqrt{6} }{\sqrt{6} }[/tex]
[tex]l=\frac{480\sqrt{6} }{6}[/tex]
[tex]l=80\sqrt{6}[/tex]
Therefore, Option (B) will be the answer.
https://brainly.com/question/4350272
Here we want to use what we know about trigonometry to find the side of a triangle.
We will see that the correct option is B.
First, we know that the sum of all internal angles of a triangle is 180°.
Then the missing angle of the triangle, let's call it C, is given by:
A + B + C = 180°
75° + 45° + C = 180°
C = 180° - 45° - 75° = 60°.
Now we can use the sine rule, it says that the sine of an angle over the length of the opposite side of the triangle is a constant, then we have:
[tex]\frac{sin(A)}{BC} = \frac{sin(B)}{AC} = \frac{sin(C)}{AB}[/tex]
Here the length of the string is AC.
And we know that:
B = 45°
C = 60°
AB = 240
Then we can use the second and third parts of the above equality to get:
[tex]\frac{sin(45 \°)}{AC} = \frac{sin(60 \°)}{240}[/tex]
Now we can solve this for AC:
[tex]AC = \frac{sin(45 \°)}{sin(60 \°)}*240 = \frac{2 }{\sqrt{3*2}}*240[/tex]
Now we can multiply and divide by √6
[tex]AC = \frac{\sqrt{6} }{\sqrt{6} } *\frac{2}{\sqrt{6} }*240 = \frac{\sqrt{6} }{3}*240 = \sqrt{6} *80[/tex]
Then we can see that the correct option is B.
If you want to learn more, you can read:
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If $10,000 is invested at a rate of 3.4 percent for 5 years, how much money is in the account at the end of the term?
$340
$3,400
$10,000
$11,700
Answer:
D. $11,700
Step-by-step explanation:
Bowl contains 100 pieces of coloured candy 54 Green 28 red 10 yellow and a blue they are all wrapped in foil so you do not know the colours of any pieces of candy what is the least number of pieces you must take to be sure that you have at least 15 pieces of the same colour
Answer:
61
Step-by-step explanation:
Which of the following represents the ratio of the short leg to the hypotenuse
in the right triangle shown below?
The ratio of the short leg to the hypotenuse of the given triangle is 1:2
What is triangle?A triangle is a polygon of three sides. In a right angled traingle we use some basic trigonometric formula. Depending upon the ratio of sides of triangle we use six trigonometric formulas.
The shorter leg of the triangle is =hypotenuse × cos60° .
[Use the formula cosθ=base/hypotenuse]
Therefore, the shorter leg= hypotenuse/2 [∵cos60°=1/2]
∴ (shorter leg)/(hypotenuse)=1/2
So, Shorter leg: Hypotenuse=1:2.
Hence the ratio of the shorter leg to the hypotenuse is 1:2.
To learn more about triangles click here:
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#SPJ7
Graph the line that passes through the points (3,-2) and (3,1) and determine the
equation of the line.
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The points have the same x-coordinate, so lie on a vertical line. The equation of a vertical line is x=constant. The constant must match the x-coordinate of the points:
x = 3 . . . . equation of the line
Select whether each number in the far left column is between 1 and 1.5, 1.5 and 2, or 2 and 2.5
Step-by-step explanation:
[tex] \sqrt{5} = 2.23[/tex]
[tex] \frac{\pi}{3} = 1.04[/tex]
[tex] \sqrt{3} = 1.73[/tex]
Percent into fractions.
1. 88.9%
2. 63.6%
3. 87.6%
4. 66.7%
Naomi has earned $54 mowing lawns
the past two days. She worked 2 hours
yesterday and 4 hours today. If Naomi is
paid the same amount for every hour she
works, how much does she earn per hour
to mow lawns?
Answer:
9$ per hour
Step-by-step explanation:
if its 54 dollars in 2 days all you have to do is add the total of hours togther and divided it sk it would be 54 divided by 6 because that is the total of hours in 2 days. which gets you 9 dollars per hour
please solve 2x+1<1 or x+5>8 for me please xx <3
Answer:
x=0
Step-by-step explanation:
Subtract 1 from both sides
2x+1-1<1-1
Simplify the arithmetic
2x<1-1
Simplify the arithmetic
2x<0
Isolate the X
X=0
find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the y coordinate to the change in the x coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (a - 3a)
Solve for a :
1 = -7 / (-2a)
1 = 7/(2a)
2a = 7
a = 7/2
Solve : x/3-2/5 = 2x/15-3/5
Step-by-step explanation:
x/3-2/5=2x/15-3x
5x-6=2x-9
5x-2x=-9+6
3x=-3
3x/3=-3/3
x=-1
6. What are the properties of translations?
Answer:
We found that translations have the following three properties: line segments are taken to line segments of the same length; angles are taken to angles of the same measure; and. lines are taken to lines and parallel lines are taken to parallel lines.
Step-by-step explanation:
For 3 which is a vertical to <2
Answer:
∠4
Step-by-step explanation:
Since the opposite of ∠2 is ∠4, then the vertical angle of ∠2 would be ∠4. (That is the literal definition of vertical angles)
what is the product of 1.2 and 3.4?
Question
what is the product of 1.2 and 3.4?
Answer: 1.2 * 3.4
there fore answer is 4.08
mark me brainliest and thanks
have a good day ahead...
: )
Write the fraction 37/36 in simplest form
Answer:
1 1/36
Step-by-step explanation:
i hope this helps :D
( as decimal: 1.027778
Which is a base unit used in the metric system?
Step-by-step explanation:
grams meterand liter. .................................
gm everyone plz help with this question down below :) Who was Sherlock Holmes?
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(cough cough) free, ,points
Plot the image of point C under a reflection across line
When the image of point C is reflected across the line, then it's written as C'.
17. 89.64 nearest one
Answer:
nearest one:
89.64
=90.00
I really need help!!!!
solve 4x-2y=6 for x in terms for y
Answer:
x = 3 + y
Step-by-step explanation:
4x - 2y = 6
~Add 2y to both sides
2x = 6 + 2y
~Divide 2 to everything
x = 3 + y
Best of Luck!
Which of the following could be the number shown on the number line?
Answer: Choice A. [tex]\sqrt{35}[/tex]
=================================================
Explanation:
Recall that 36 is a perfect square
36 = 6^2
Or in other words, [tex]\sqrt{36} = \sqrt{6^2} = 6[/tex]
The point marked on this number line is some value smaller than 6, so the number under the square root must be smaller than 36.
That could apply to either choices A or B.
Using a calculator shows that
[tex]\sqrt{35} \approx 5.916\\\\\sqrt{30} \approx 5.477\\\\[/tex]
Choice A is the better answer as it's much closer to 6 than choice B is.
Simplify
[tex] \frac{2(a - 3)}{(a - 4)( a- 5)} + \frac{ - 1}{( 3 - a)( a- 4)} + \frac{a - 2}{( 5 -a )(a - 3)} [/tex] please solve this!
what is (f-2) for f(x)=-1/2x+5
Answer:
6
f(x)=-.5(-2) + 5
Suppose PQ has one endpoint at
P(0, 0). If (2,5) is the midpoint of PQ, what are the
coordinates of point Q?
Step-by-step explanation:
The midpoint can be found with the formula.
midpoint = (x1+x2) /2 , (y1 + y2 )/2
( x1 , y1), and (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.
P = (0,0)
midpoint = (2,5)
x midpoint = 2 = (0+ x2)/2
×2 = 4
y midpoint = 5 = (y2+0 )/2
10 = y2
so the point Q is (4 , 10)