Answer:
y=42°
Step-by-step explanation:
We see the big triangle is split into 2 triangles.
The lower triangle is composed of 90°, 48°, and y.
since the angles must add to 180°,
180°-90°=90° 90°-48°=42°
y=42°
Check:
42+48=90
90+90=180°
Please give brainliest if possible.
Find the ÷98 and place a point on the # line
Answer:
Draw a number line starting with -100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, all the way to 0. Then put a point mark at where the -98 would be.
Use the slip and y-intercept to identify the equation of this line
Answer:
y=2x
Step-by-step explanation:
equation formula is y=mx+b
m is slope
b is y-intercept
you know that slope is 2
y intercept is 0
so plug it into the equation
y=2x+0 or just y=2x
i need help with this pls.
Answer:
I think it's 13
Step-by-step explanation:
2/16 × 100/1
=12,5 rounded off
=13
4x=2y-9 plus -8x+6y=6
Answer:
-4x+4y+3=0
Step-by-step explanation:
(4x-2y+9=0)+(-8x+6y-6=0)
Add like terms:
-4x+4y+3=0
Solve the equation x – 15 = 42.
x=
Answer:
x = 57
Step-by-step explanation:
42 + 15 = 57
log (5x) (x)= 7/2
Answer:
\(x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}\)
I’ll give brainliest, i need to know the math done to get the answer. Need answers ASAP !!
Answer:
Approximately $242,000
kassie and luke timed each other during swim practice. the speed at which kassie swims is represented by the equation d
For the distance and time data , the true statement to represent the speed is given by :
a. A graph formed by given distance and time represents Kassie’s speed would have a slope of 1.22.
Let the time on the graph of distance and time graph is 't'
Distance of the graph is 'd'
Speed = Distance / time
Let us consider two coordinates of distance and time on graph be :
( t₁ , d₁ ) = ( 3, 3.72 )
( t₂ , d₂) = ( 12, 14.88)
Speed is represented by the slope of distance and time
Speed = ( d₂ - d₁ ) / ( t₂ - t₁ )
= ( 14.88 - 3.72 )/ ( 12 - 3 )
= 11.16 / 9
= 1.24 m/s ___(1)
Equation of Kassie swims is d = 1.22t
It implies d/t = 1.22 ___(2)
From (1) and (2) we have :
Kassie speed represents the slope 1.22m/s.
Therefore, the true statement is option a. Kassie speed representing the slope equals to 1.22m/s.
The above question is incomplete , the complete question is:
Kassie and Luke timed each other during swim practice. The speed
at which Kassie swims is represented by the equation = 1.22,
where d is the number of meters she swims in t seconds. The speed
at which Luke swims is represented in the table.
Luke's speed
Time in seconds (t) : 3 6 9 12
Distance in meter (d) : 3.72 7.44 11.66 14.88
Which of the following statements are true?
a. A graph of Kassie’s speed would have a slope of 1.22.
b. Luke’s rate of speed is 1.86 meters per second.
c. A graph of Luke’s speed would go through (0,0) and (1,24).
d. Kassie’s rate of speed is 0.02 meters per second slower than Luke’s rate of speed.
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Can someone please help me
Answer: [1] G,D,L,K [2] HF and AB [3] X-Y Plane [4] CE and LA
[5] A,L,B
Step-by-step explanation:
A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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a box in a shape of a rectangle prism has a length of 3 5/8 inches a width of 2 1/2 inches and a height of 4 inches. what is the volume of the box
Answer:
volume is 36.25inches
145/4
Step-by-step explanation:
L= 3 5/8inches
W= 2 1/2inches
H= 4inches
VOLUME = L×W×H
3 5/8 × 2 1/2 × 4 =
29/8 × 5/2 × 4 = 36.25inches
36.25→145/4
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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PLEASE HELPPPPPPP ILL GIVE BRAINLIESTTTTTT!!!!
is this true or false...
When two different functions f(x) and g(x) are graphed, the x-coordinate of the point of intersection is the solution to the equation formed from f(x) = g(x)
Answer:
im to young to answer this ;(
Step-by-step explanation:
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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How to write log6(35) in exponential form?
Answer:
10^35=6
Step-by-step explanation:
All you need to remember is the picture above and you could do it.
Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
Place the following expressions in order from the lowest value to the highest value.
Answer:
-4^0, 2^-3, (-3)^0, 5^1
Step-by-step explanation:
2^-3= 1/8 (the same as 0.125)
(-3)^0= 1
-4^0= -1
5^1 = 5
these numbers from lowest to largest would be -1, 0.125 (1/8), 1 and finally 5
making the answer -4^0, 2^-3, (-3)^0, 5^1
1 ft. 3 in. Is what part of 1 yd? I need this please I don’t get how to solve it
50 students in the fourth grade class list of their hair and eye colors in the table below are the events green eyes and brown hair independent
Answer:
câu này là 500 nhen
given a pair of similar triangles find the missing length x and the missing angles a,b,c
Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75
Find the missing length?Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.
find the ratio between the two triangles:
40 on the left corresponds to 50 on the right = 40/50 = 43/x
to find x:
40x = 43 × 50
40x = 215
x = 215/40
x = 53.75
"angles of similar triangles are always congruent."
a: 63
b: 88
c: 29
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Full question:
Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.
help plz I need big help someone plz help me with this question!
Answer:
Step-by-step explanation to be honest probably 12 if not i’m so sorry
A triangle has sides with lengths of 12 meters, 18 meters, and 19 meters. Is it a right
triangle?
Answer: yes
Step-by-step explanation:
the two sides are near the same with one smaller and i learned at sc that that makes it right
1 is subtracted from 8 times a certain number.the result is 15.find the number
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
In the following diagram, segment QR is the image of segment NP after a dilation centered at the origin with a scale factor of k. Which of the following would not be a correct calculation of k.
The ratio OQ/QN would not give a correct calculation of K
Here, we want to select which of the options would be a wrong calculation for k which is the scale factor
Any of the ratios that would measure k should be such a ratio that compares similar distances
The correct answer in this case is OQ/QN
The reason why it is wrong is that while OQ meaures the distance from the center of dilation to the first segment, QN should also have measured a comparable distance
Thus, ON should have been what to use if we are to compare both distances since they would have measured the distances from the center of dilation which is the origin in this case
Find the sum of an ARITHMETIC PROGRESSION whose first term is 6 and last term is 46
Answer:
Step-by-step explanation:
It depends on the number of terms in the progression. If there are n terms:
S_n = n × (6 + 46)/2
Jamal is five years less than the age of his brother Alex and the product of their ages is 300. How old is Jamal?
Let's start by defining some variables:
Let's call Jamal's age "J".
Let's call Alex's age "A".
From the problem statement, we know that:
J = A - 5 (Jamal is 5 years younger than Alex)
J * A = 300 (the product of their ages is 300)
We can use the first equation to substitute J in the second equation:
(A - 5) * A = 300
Expanding the left-hand side:
A^2 - 5A = 300
Moving all terms to the left-hand side:
A^2 - 5A - 300 = 0
We can solve for A using the quadratic formula:
A = (-(-5) ± sqrt((-5)^2 - 41(-300))) / (2*1)
A = (5 ± sqrt(25 + 1200)) / 2
A = (5 ± sqrt(1225)) / 2
Since A is a positive integer, we take the positive solution:
A = (5 + 35) / 2 = 20
Now we can use the first equation to find J:
J = A - 5 = 20 - 5 = 15
Therefore, Jamal is 15 years old.
What does x equal? Round
Check the picture below.
\(\tan(26^o )=\cfrac{\stackrel{opposite}{x}}{\underset{adjacent}{5.7}}\implies 5.7\tan(26^o)=x\implies 2.78\approx x\)
Make sure your calculator is in Degree mode.
How many is 3/5 of 20?
Answer:
3/5 of 20 = 12
Step-by-step explanation:
We can think of 3/5 as ...our 20 is cut in 5 pieces and we take only 3.
But how big are the 5 pieces ?
20 /5 = 4
20
4 4. 4. 4. 4
3/5 = 4. +. 4. +. 4 = 12
The height of the cylinder is 4 feet.
We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to "make a can".
A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. Since the top and bottom both are circles with radius r, the areas of the top and bottom both are πr2. You can think of the side as a rolled up rectangular piece that is h long by (the circumference of the circle) 2πr wide, so the side has a total area of h(2πr)
Thus the surface area of the cylinder, A, is A=2πr2+2πrh.
Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A(r). What is the domain and range of A(r)?
Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e. r as a function of A or r(A). What is r(A) and what is the domain and range of r(A)? What is r(A)? (Do not include the units "inches" in your answer.)
Hints: Mobius accepts the following ways to type in mathematics:
To enter a square root such as x+3−−−−−√, you can type in sqrt(x+3)
To enter the number π, you can type in pi
To enter a division such as x+3y+1, you can type in (x+3)/(y+1)
Remember to use parentheses for order of operations!
Part c: If the surface area is 175 square inches, then what is the rardius r? Round your answer to 2 decimal places.
Hint: To compute a numeric square root such as 17.3−−−−√, you could
Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)
Use a browser to connect to the Internet and type in sqrt(17.3) into a search field
use a calculator
The radius is *number* inches if the surface area is 175 square inches
Answer:
A) Domain : 0 ≤ r < ∞
Range of A(r) : 0 ≤ A(r) < ∞
B) Domain : 0 ≤ A < ∞
Range of A(r) : 0 ≤ r(A) < ∞
C) r ≈ 3.64 inches
Step-by-step explanation:
Given data :
Area of cylinder = \(2\pi r^2 + 2\pi rh\)
h = 4 feet
hence Area of cylinder(A(r) ) can be expressed as : \(2\pi r^2 + 8\pi r\)
given; r > 0
A) Domain and range of A(r)
Domain : 0 ≤ r < ∞
Range of A(r) : 0 ≤ A(r) < ∞
B) attached below is the detailed solution
C) attached below is the detailed solution
Hey can anyone help pls and thank you
Answer:
5x+28=7x-4
5x+32=7x
32=2x
x=16
Hope This Helps!!!
Answer:
x = 16
Step-by-step explanation:
(7x - 4) and (5x + 28) are alternate exterior angles and are congruent, so
7x - 4 = 5x + 28 ( subtract 5x from both sides )
2x - 4 = 28 ( add 4 to both sides )
2x = 32 ( divide both sides by 2 )
x = 16