Answer:
B
Step-by-step explanation:
The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6
The value of x in the given question is 16.6
What are trigonometric ratios in a right angle triangle ?A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.
Assuming height of the triangle = y
Sin∅ = opposite/hypotenuse
sin43° = y/39
y= 39sin43°
y = 26.6
From this we will solve the value of x
tan∅ = opposite/adjacent
here adjacent = 26.6 and opposite = x
tan32° = x/26.6
x = 26.6tan32°
x = 16.6
Learn more about Trigonometric ratios here :
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Find the measure of each angle indicated
Answer:
13. 100* : 14. 111* : 15. 125* : 16. 47*
Step-by-step explanation:
13. Same side interior angles add to 180.
14. Alternate interior angles equal each other.
15. Alternate interior angles equal each other.
16. Opposite angles equal each other.
which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2
A bag of rare spice that weighs 2/3 pounds will be split equally among 12 people. How much spice will each person get
Answer:
1/18 pound each
Step-by-step explanation:
Take the number of pounds and divide by 12 people
2/3 ÷12
Copy dot flip
2/3 * 1/12
Rewriting
2/12 * 1/3
1/6 * 1/3
1/18 pound each
Answer:
Each person will get 1/18 pounds of spice from the bag
Step-by-step explanation:
Divide 2/3 by 12:
Make 12 a fraction by adding 1 as the denominator:
2/3 ÷ 12/1
Reciprocate the second fraction:
2/3 ÷ 1/12
Turn it into multiplication:
2/3 x 1/12 = 2/36
SIMPLIFY 2/36:
2/36
Divide both sides by 2:
1/18
so your answer is 1/18
I hope I helped!
3. The vertices of trapezoid WXYZ are W(-2, 4), X(-3, 2), Y(-3, 1), and Z(-2, 1).
Which figure shows the image of trapezoid WXYZ for a glide reflection where the translation is (x, y) - (x + 2, y) and the line of
reflection is y = 0?
Step-by-step explanation:
I don't know, if I see the full picture. I see only 2 diagrams.
since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.
and something might be wrong with your translation description.
but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.
What is the product?
43 .4-3
0)
1)
4)
6)
Answer:
1
Step-by-step explanation:
So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,
3 + (-3) = 0
so the number is now 4^0.
Everything by the power of 0 is equal to 1, so the answer is 1.
Hope this helps !!
-Ketifa
What’s the answer? Help
Answer:
$14
Step-by-step explanation:
x = price of scarf 1
y = price of scarf 2
together they cost $25
x + y = 25
one scarf costs $3 more than the other
x = y + 3
now we use that in the first equation again
y+3 + y = 25
2y +3 = 25
2y = 22
y = $11
=> x = y +3 = 11 + 3 = $14
Use a table of values to graph the function ƒ(x) = + 4. Select the correct graph below.
Answer:
C.
Step-by-step explanation:
+4 in the function means the graph crosses the y axis at +4
Answer:
C)
Step-by-step explanation:
See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.
By converting to an exponential expression, solve log3 (x + 9) = 5.
Answer:
[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]
Need help on this please!!! 10 points!!!
Answer:
I think the answer is the first one ... am i right...
can someone please help me with this?!?!!
Answer:
I can't help but I hope you succeed
What is the equation of the line that passes through the point (-1,4)and has a slope of -5?
Answer:
y = -5x - 1
Step-by-step explanation:
NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).
The formula for calculating slope-intercept form is y = mx + b.
Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b
4 = 5 + b
Subtract 5 from both sides.
So, -1 = b.
Now substitute the slope for m and -1 for b.
y = -5x + -1
= y = -5x - 1
The slope of MN is -3 which segment is parallel to MN
Answer:
B and D
Step-by-step explanation:
please help i need help with this SHOW WORK please i will give brainly
Answer:
[tex]1\frac{1}{2}[/tex] hours per acre
Step-by-step explanation:
Unit rate in hours per acre = Total hours ÷ acres
= [tex]4\frac{1}{8}[/tex] ÷ [tex]2\frac{3}{4}[/tex]
[tex]=\frac{33}{8}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]= \frac{33}{8}*\frac{4}{11}\\\\= \frac{3}{2}\\\\= 1\frac{1}{2}[/tex]
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 8 to x = 9?
A. -82
B.-17
C.-2
D.-65
Answer:
-17
Step-by-step explanation:
Find the equation of the line parallel to y = -3x + 4 with a y-intercept of -10
Answer:
y=-3x-10
Step-by-step explanation:
Hi there!
We need to find the equation of the line parallel to y=-3x+4 that has the y intercept of -10 (the point (0, -10))
Parallel lines have the same slope
The slope of y=-3x+4 is -3 (it is in the placement of where m (slope) is in y=mx+b)
So the slope of the new line parallel to y=-3x+4 is also -3
Here is the equation of that line so far:
y=-3x+b
b is a placeholder for the y intercept
However, we are given the y intercept as -10, so substitute -10 as b into the equation
y=-3x-10
There's the equation of the line parallel to y=-3x+4 with a y intercept of -10
Hope this helps!
Davit and Mila are both travelling by train.
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km.
It leaves at 12:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
32 km/h
Step-by-step explanation:
Davit's Train travels at 108 km/h
Mila's train travels at 140 km/h
140-108=32
Therefore the difference in their average speed is 32 km/h
2 tablespoons =
A) 3 teaspoons
B) 2 fluid ounces
C) 1 fluid Ounce
D) 1 teaspoon
Answer:
C) 1 fluid Once
Step-by-step explanation:
what is the reason for statement 8
a. third angle theorem
b. triangle proportionality theorem
c. congruent complements theorem
5) where 2 coins are toased find the probability of getting:
1)both the coins with some place
2)both the coins with different place
3)at least one tail
5)at the most one head
Step-by-step explanation:
Let S be the sample space
S={HH, HT, TH, TT}
n(S)= 4
A: both the coins with some place
B: both the coins with different place
C:at least one tail
D:at the most one head
1) A={TT,HH}
n(A)=2
P(G)= n(A)/n(S)
= 2/4
= 1/2
2) B ={HT, TH}
n(B) = 2
P(B) = n(B)/n(S)
= 2/4
= 1/2
3) C= {HT, TH, TT}
n(C)=3
P(C) = n(C)/n(S)
= 3/4
4). D={HT, TH}
n(D) = 2
P(D) = n(D)/n(S)
= 2/4
=1/2
**HELP**
find the angle measures given the figure is a rhombus.
Answer:
m<1=74
m<2=37
Step-by-step explanation:
m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.
37+37+x=180.
The total degree of a triangle is 180.
x=106
Subtract that from 180 to get m<1.
180-106=74
I hope this helps!
Good luck!
Caroline,Colin & Sarah share some money in the ratio 5:9:6.
In total, Caroline and Sarah receive £44. How much does Colin get?
Answer:
Caroline gets 4*5 = 20 pounds
Colin gets 9 * 4 = 36 pounds
Sarah gets 6*4 = 24 pounds.
Step-by-step explanation:
The ratios are 5x + 9x + 6x
5x + 6x = 11x
Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.
11x = 44 Divide by 11
x = 44/11
x = 4
Colin gets 9x
x = 4
9*4 = 36
Colin gets 35 pounds.
Caroline gets 4*5 = 20 pounds
Colin gets 9 * 4 = 36 pounds
Sarah gets 6*4 = 24 pounds.
Caroline and Sarah get 20 + 24 = 44
If AABC is reflected across the y-axis, what are the coordinates of A'?
Answer:
-2,-4
Step-by-step explanation:
Find the slope of the line passing through the points (-2, -8) and (9,-8).
slope:
To get that answer, apply the slope formula
m = (y2 - y1)/(x2 - x1)
m = (-8 - (-8))/(9 - (-2))
m = (-8 + 8)/(9 + 2)
m = 0/11
m = 0
Any line with slope 0 is completely horizontal.
As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.
ASAP!!!!!!!
What is the range of the inverse of the given function?
[tex]f(x) = \sqrt{x} -2[/tex]
a) [2, ∞)
b) [-2, ∞)
c) (∞, 2]
d) (2, ∞]
Answer:
[2 , ∞)
Step-by-step explanation:
y = sqrt( x-2)
The domain is the values that x can take
Since we have a square root
Domain: [2 , ∞) since the square root must be greater than or equal to zero
The range is the values that y can take
The square root starts at 0 and increases
Range [0,∞)
The inverse swaps the domain and range
Range: [2 , ∞)
Domain [0,∞)
Answer: it’s A on here but check which is A on your test
Step-by-step explanation:
Can someone help me out
answer is
4ft* 5ft
= 20ft^2
The diagonals of a quadrilateral must be bisect each other and be perpendicular to gurarantee that the quadrilateral is a parrelogram
Answer:
False
Step-by-step explanation:
A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.
If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.
Hence the answer is FALSE.
The equation of line a is y=−14x+3. If line b runs perpendicular to line a and passes through (2, 6), what would be the equation of line b?
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
______________________________
In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
______________________________
Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
_____________________________
Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
Answer:
more info needed
Step-by-step explanation:
Si Martha retira de su cuenta el 10% para los transportes del mes. ¿Cuál es el nuevo saldo de la cuenta?
Respuesta:
0,9 veces
Explicación paso a paso:
Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x
Porcentaje retirado para transporte = 10%
El porcentaje total siempre será del 100%
Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:
Porcentaje total: porcentaje gastado en transporte
(100% - 10%) * monto en cuenta
90% * x = 0,9 * x = 0,9x
Saldo de cuenta nueva = 0.9x
P/4+=16
Pls show work!!
Answer:
64 is the answer
Step-by-step explanation:
p / 4 = 16
p = 16 x 4
p = 64
Which expressions are equivalent to 2^5•2^4? Check all that apply.
Answer:
2⁵×2⁴=2⁹
2⁵×2⁴=2×2×2×2×2×2×2×2×2
2⁵×2⁴=4⁵
2⁵×2⁴=8³×2
Answer:
[see below]
Step-by-step explanation:
Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]
[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]
Other expressions could be:
[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]
[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]
Hope this helps.