Answer:
The angles are complementary angles
Step-by-step explanation:
Given that a triangle has three sides and three angles
From the above question the unknown side of the triangle has a fixed value ( given ) hence the two angles adjacent to the unknown side will be complementary angles. this is because the sum of the angles of a triangle = 180°
Answer:
Because the given conditions (7 centimeters, 9 centimeters, and 74°) are fixed and the unknown side length is fixed, the angles adjacent to the unknown side must also be fixed.
Step-by-step explanation:
Angelica has ten pounds of jelly beans. She wants to repackage the jelly beans into bags of size 2/3pound. How many basofiel beans can she make?
Answer:
15 bagsStep-by-step explanation:
Jelly beans weight = 10 poundsEach bag = 2/3 poundNumber of bags required:
10 ÷ 2/3 = 10 × 3/2 = 30/2 = 15 bagsTotal beans:-.
10/2/3=10×3/2=5×3=15beansI need help!!!!!! Ten points for whoever gets this correct
Answer:
The correct answer is 25 ¢(cents) (.25 of a dollar) Per Juice box
Step-by-step explanation:
34 divided by 136 is .25 or 25 ¢
Read the ratio as a fraction in simplest form 3611 and 12 odd
Answer:
3611/12
Step-by-step explanation:
PLEASE HELP
Question and answer choices are in the screenshot below
Please don't spam
Answer:
B I think
Step-by-step explanation:
Answer: Choice B
=========================================================
Explanation:
Let's say we had segment PQ. So the endpoints are P and Q. Let M be the midpoint of segment PQ.
Furthermore, let P have coordinates (x+6, y/3). Dividing by 3 is the same as multiplying by 1/3. So (1/3)y is the same as y/3.
Let Q have the coordinates (r,s). The goal is to express r and s in terms of x and y, as the answer choices indicate.
The midpoint M is located at (2,-5)
---------------------
For now, let's focus on the x coordinates of each point
x coordinate of P is x+6x coordinate of Q is rx coordinate of M is 2If we average the x coordinates of P and Q, we'll get the x coordinate of M
So we add up (x+6) and r, then divide by 2, and we should get 2 as a result
( (x coord of P) + (x coord of Q) )/2 = x coord of M
( (x+6) + (r) )/2 = 2
(x+6+r)/2 = 2
Let's solve for r
(x+6+r)/2 = 2
x+6+r = 2*2
x+6+r = 4
r = 4-x-6
r = -2-x
The x coordinate of point Q is -2-x
----------------------
We'll follow the same basic idea for the y coordinates
The y coordinate of P is y/3The y coordinate of Q is sThe y coordinate of M is -5We then get
( (y coord of P) + (y coord of Q) )/2 = y coord of M
( (y/3) + (s) )/2 = -5
(y/3) + s = -5*2
(y/3) + s = -10
Now solve for s
(y/3) + s = -10
s = -10-(y/3)
This is the y coordinate of point Q.
------------------------------
We found
x coordinate of Q is -2-xy coordinate of Q is -10-(y/3)Point Q is therefore located at (-2-x, -10-(y/3) )
This points to choice B as the final answer.
Classify each number according to its value.
-6
4.2 x 10
2.1 x 10
3.1 x 10-2
3.2x 10-5
3.5 x 104
5.8 x 10-3
5.2 x 10-4
Greater than 3.1 * 10-3
Between 3.1 x 10-3
and 4.3 * 10-6
Less than 4.3 x 10-5
Answer:
See below and attached
Step-by-step explanation:
Given numbers
4.2×10^-6, 2.1×10^-3, 3.1×10^-2, 3.2×10^-5, 3.5×10^-4, 5.8×10^-3, 5.2×10^-4Greater than 3.1×10^-3
3.1×10^-2, 5.8×10^-3Between 3.1 × 10^-3 and 4.3 × 10^-5
2.1×10 ^-3, 3.5×10^-4, 5.2×10^-4Less than 4.3 × 10^-5
4.2×10^-6, 3.2×10^-5Answer:
3.2x 10-5 goes in the Less than 4.3 x 10-5 box
Step-by-step explanation:
The reciprocal of a fraction is when you switch the numerator and denominator so the fraction becomes “flipped”.
TRUE or FALSE
Answer:
it's true...............
Solve for x.
-2.3 (x - 1.2) = -9.66
Enter your answer, as a decimal, in the box.
x = _______
Answer:0.03
Step-by-step explanation:
☆15 POINTS AND MARKED BRAINLIEST IF CORRECT☆
look at the image above to view the question!
Answer:
3125 bacteria.
Step-by-step explanation:
We can write an exponential function to represent the situation.
We know that the current population is 100,000.
The population doubles each day.
The standard exponential function is given by:
[tex]P(t)=a(r)^t[/tex]
Since our current population is 100,000, a = 100000.
Since our rate is doubling, r = 2.
So:
[tex]P(t)=100000(2)^t[/tex]
We want to find the population five days ago.
So, we can say that t = -5. The negative represent the number of days that has passed.
Therefore:
[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]
However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.
We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:
[tex]P(t)=A(2)^t[/tex]
After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:
[tex]100000=A(2)^5[/tex]
And solving for A, we acquire:
[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]
So, our function in terms of the original day is:
[tex]P (t) = 3125 (2)^t[/tex]
So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
Answer:
We can express the question in a exponential function
The current population is 100,000.
The population doubles each day.
The exponential function is given by: P(t)=a(r)^t
The current population is 100,000, a = 100000.
The rate is doubling, r = 2.
P(t)=100000(2)^t
As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:
P(t)=A(2)^t
After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:
100000=A(2)⁵
Now solving for A, we get
A=(100000)/(2⁵)=3125
So, the function in terms of the original day is:
P (t) = 3125 (2)^t
Hence, the initial population is 3125 bacteria.
3125 is the right answer.You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
Given f(x) = –x– 5, solve for a when f(x) = -3.
Answer:
-2
Step-by-step explanation:
f(x) = –x– 5
f(x) = -(-3)– 5
f(x) = 3– 5
f(x) = -2
Answer:
Answer is -2 because - * - = + 3-5=-2
The point (4, 10) is in each scatterplot. In which one is it an outlier? On a graph, points (4, 10) and (6, 1) are outside of the cluster. On a graph, points are scattered. On a graph, point (2, 1) is outside of the cluster. On a graph, all points are within the cluster.
Answer:
A) On a graph, points (4, 10) and (6, 1) are outside of the cluster.
Answer:
A) The first option
Step-by-step explanation:
Solve this equation:
3x - 5x + 8 - 3x = -5X -8
Please help
What is the product?
Answer: 15a^5b^15
a^2 + a^3 = a^5
b^7 + b^8 = a^15
what is the answer to 5--4
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
what is the y- intercept of the line with the eqaution y=-2x+4
Answer:
(0,4)
Step-by-step explanation:
When you are finding the y-intercept, the x = 0
y = -2x + 4
y = -2(0) + 4
= 0 + 4
y = 4
Meaning y = (0,4)
[tex]\sf{\underline{Given:-}[/tex]
[tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]
[tex]\sf{\underline{To~find:-}}[/tex]
[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]
Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.
Notice that the y-intercept is a constant...
Hence, the y-intercept of the line is
[tex]\bigstar{\boxed{\pmb{4}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
can someone plz help me with the questions .it’s due in 15 mins
Answer:number 14 is 8
Step-by-step explanation:
bc 5$ off all the bottles you bye is 2 dollars so keeps on counting the you get 8
Answer:
13.-16
14.-3
Step-by-step explanation:
given AC with A(3,4) and C(-9,-2) if B partitions AC such that the ratio of AB to BC is 1:5 find the coordinates of B.
Answer:
The co-ordinates of B (1,3 )
Step-by-step explanation:
Step(i):-
Given A( 3,4) and C( -9, -2)
Given 'B' partition AC such that
B divides AC in the ratio is 1:5 internally
Section formula
[tex](\frac{mx_{2}+nx_{1} }{m+n} ,\frac{my_{2}_+ny_{1} }{m+n} )[/tex]
Step(ii):-
Given points are
A( 3,4) and C( -9, -2) and ratio 1 : 5
(x₁ , y₁) = ( 3,4) and (x₂, y₂) = (-9,-2)
m:n = 1 : 5
The co-ordinates of B
= [tex](\frac{1(-9)+5(3) }{1+5} ,\frac{1(-2)+5(4) }{1+5} )[/tex]
= [tex](\frac{6}{6} , \frac{18}{6} )[/tex]
= (1 , 3)
Final answer:-
The co-ordinates of B (1,3 )
Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $53.98. What percent tip did they give? (Round to the nearest percent).
To determine the height of the volcano Mount Saint Helens, a surveyor measured the angle of elevation to the top of the volcano to be 34.8°. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40.4° Determine the height of Mount Saint Helens to the nearest foot.
Answer:
The height is 3791 ft.
Step-by-step explanation:
You need to make a drawing. Start with a vertical segment, 2 inches long, on the left side of the page. Label the top point A and the bottom point B. At the bottom endpoint, draw a longer horizontal segment, 4 inches long, to the right. Label the bottom right endpoint C. Connect A and C with a segment. Angle C is the original angle of elevation. On the bottom horizontal side, approximately 1 inch to the left of C, draw point D. Connect D and A with a segment. DA = 1000 ft. m<C = 34.8°. m<ABD = 40.4°. We are looking for AB, the height of the volcano.
We can work on triangle ADC.
m<C = 34.8°
Angles ADB and ADC are a linear pair, so m<ADC = 180° - 40.4° = 139.6°
m<DAC + m<ADC + m<C = 180°
m<DAC + 139.6° + 34.8° = 180°
m<DAC = 5.6°
Using the law of sines, we can find AC.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex]\dfrac{\sin 5.6^\circ}{1000} = \dfrac{\sin 139.6^\circ}{AC}[/tex]
[tex]AC = \dfrac{1000\sin 139.6^\circ}{\sin 5.6^\circ}[/tex]
[tex] AC = 6642~ft [/tex]
Now we use triangle ABC. AC = hypotenuse. AB = opposite leg. <C is known angle.
[tex] \sin C = \dfrac{opp}{hyp} [/tex]
[tex]\sin 34.8^\circ = \dfrac{AB}{6642~ft}[/tex]
[tex]AB = 6642~ft \times \sin 34.8^\circ[/tex]
[tex] AB = 3791~ft [/tex]
Answer: The height is 3791 ft.
PLEASE HELP DUE IN 30 MINS!!!
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
In AEFG, EF = 44 centimeters and FG = 12 centimeters. Which of the following best describes the possible length, in centimeters, of
AO 44
B. O 32
CO 12
D. 32 < EG < 44
Answer:
The best inequality describes the possible length of EG is 32 < EG < 56 ⇒ B
Step-by-step explanation:
In any triangle
The sum of the lengths of any two sides must be greater than the length of the third sideThe length of any side is greater than the difference between the lengths of the other two sidesIn Δ EFG
∵ EF = 44 cm
∵ FG = 12 cm
→ Find their sum and difference
∴ The sum of their length = 44 + 12 = 56 cm
∴ The difference between their length = 44 - 12 = 32 cm
→ By using the rule above
∵ EG is the third side
∴ EG < 56
∴ EG > 32
→ Write them in one inequality
∴ 32 < EG < 56
∴ The best inequality describes the possible length of EG is 32 < EG < 56
The coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 when point D is placed on this square what will the perimeter of the square be?
Answer:
The perimeter of square will be 18 units
Step-by-step explanation:
We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )
When point D is placed on this perimeter.
We have to find the perimeter of the square.
First we have to find the side of square by using the distance formula
Distance formula
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of A=(-5/2,3/2)
Coordinates of B=(-5/2,-3)
Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]
Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]
Length of side AB=9/2 units
Now, the perimeter of square=4 (side)
Using the formula
Perimeter of square=4(9/2)=18 units
. Determine whether the system of equations has one solution, no solution, or infinitely many solutions.
y = -4x + 2 and y = -4x + 2 *
Answer:
It is clear that both equations are identical. Hence, the solution to the system of equations would contain infinitely many solutions.
Step-by-step explanation:
Given the system of equations
y = -4x + 2
y = -4x + 2
It is clear that both equations are identical. We know that when the system of equations is identical, then the system of equations will have infinitely many solutions.
Hence the given system of equations would contain infinitely many solutions.
solving the system of equations
[tex]\begin{bmatrix}y=-4x+2\\ y=-4x+2\end{bmatrix}[/tex]
Substitute y = -4x+2
[tex]\begin{bmatrix}-4x+2=-4x+2\end{bmatrix}[/tex]
For y = -4x+2
Express y in terms of x
[tex]y=-4x+2[/tex]
Thus, the solution to the system of equations would be:
[tex]y=-4x+2,\:x=x[/tex]
It is clear that x = x is true no matter what. Hence, the solution to the system of equations would contain infinitely many solutions.
Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How
much waste will she have for this project? Express your answer to the nearest square foot.
Draw a diagram to assist you in solving the problem. What does the distance of 3 feet represent in this problem?
Answer:
The waste Suzanne is going to have is around 7.726.
8 if looking for nearest square foot.
Step-by-step explanation:
Area for a square - x*x (length times length)
Area for a circle - r^2*pi
Find the area of the circle first, which plug in r as 3.
3^2*pi
9pi
≈28.27433
Notice for a circle inside a square, the length of the square is the diameter of the circle.
By knowing 2r=diameter, we know the length of the square is 6
substitute x as 6.
6*6=36
Find the waste= Area of square - Area of circle
36-28.27433
≈7.726
The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.
David made a scale drawing of an Olympic-sized pool the pool is 20.5 in long and the drawing that I can shoot pool is 164 ft long what is the correct scale of the drawing
Answer:
[tex]Scale = 1\ in : 8\ ft[/tex]
Step-by-step explanation:
Given
[tex]Scale\ Measurement = 20.5in[/tex]
[tex]Actual\ Measurement = 164ft[/tex]
Required
Determine the scale
The scale is calculated using the following ratio:
[tex]Scale = Scale\ Measurement : Actual\ Measurement;[/tex]
Substitute values for Scale and Actual Measurements
[tex]Scale = 20.5\ in : 164\ ft[/tex]
Divide ratio by 20.5
[tex]Scale = 20.5/20.5\ in : 164/20.5\ ft[/tex]
[tex]Scale = 1\ in : 8\ ft[/tex]
This implies that: 1 inch on scale represents 8 ft in actual measurement
Answer:
1.8
Step-by-step explanation:
For a project in statistics class, a pair of students decided to invest in two companies, one that produces software and one that does biotechnology research. Andy purchased 65 shares in the software company and 43 shares in the biotech firm, which cost a total of $6,035. At the same time, Xavier invested a total of $4,415 in 11 shares in the software company and 43 shares in the biotech firm. How much did each share cost?
Each share in the software company cost $
, and each share in the biotech firm cost $
.
Answer:
the cost of each share in the software company and cost of each share in the biotech firm is $30 and $95 respectively
Step-by-step explanation:
The computation of the cost of each share in the software company and cost of each share in the biotech firm is as follows:
Let us assume the cost of each share in the software company be x
And, for biotech it would be y
Now
65x + 43y = $6,035 .......(i)
11x + 43y = $4,415 ......(ii)
Now subtract equation 2 from equation 1
54x = $1,620
x = $30
Now put the x value in any of the above equation
65($30) + 43y = $6,035
$1,950 + 43y = $6,035
43y = $6,035 - $1,950
43y = $4,085
y = $95
Hence, the cost of each share in the software company and cost of each share in the biotech firm is $30 and $95 respectively
distance covered by minute hand in 1 hour is 94. 20 cm find the circumference of the circle whose radius is 12 CM
Answer:
[tex]\large\boxed{75.4cm(1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Circumference of a cirlce= [tex]\pi*diameter[/tex]
Diameter= [tex]2*radius[/tex]
Method:
The first step in working out the circumference of this cirlce is to work out the diameter. You can work this out by multiplying the radius of 12 by 2, this gives you 24cm. This is because the radius is half of the diameter.
The next step is to work out the circumference. You can do this by multiplying pi by the diameter of 24, this gives you [tex]27\pi[/tex] or 75.4cm (1 d.p).
Step by Step:
1) Multiply 12 by 2.
[tex]12*2=24cm[/tex]
2) Multiply pi by 24.
[tex]\pi*24=75.4cm(1 d.p)[/tex]
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
two functions are given below how does the graph of p compare with the graph of q
Answer:
The answer should be choice B.
Step-by-step explanation:
By using the process of elimination, you can cross out choices A and D.
According to the equation, the slope is of p(x) is smaller than q(x), thus q(x) will be steeper than q(x).
The valid answer is B because choice C is wrong.
How many right angles are in this shape.
Answer:
B:3
Step-by-step explanation: