Answer:
c+d(x)= 180°
Step-by-step explanation:
supplemental angles are supplementary if the sum of their measurements is 180°. each angle is called the supplement of the other.
for instance, in a car, the speedometer and the angles within formed by the needle and the base of the speedometer are supplements of one another.
the measurement of an angle measuring 63° is 180° - 63° = 117°
Answer:
angle D = 180 - x
Step-by-step explanation:
given c=x degree
d =?
In supplementary angles sum of two angles is 180 degree so according to the question
angle c + angle D =180 degree
x + angle D =180
angke D =180 -x
I need to find the area
Answer:
90 cm^2
Step-by-step explanation:
The area of a triangle is half of the base times height, so it is 1/2*15*12 = 7.5*12 = 90
What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
5676.16 cm³
Step-by-step explanation:
Johnny measured a city park and made a scale drawing. The soccer field is 6 millimeters wide in the drawing. The actual field is 60 meters wide. What scale did Johnny use for the drawing?
The scale used by Johnny for the drawing is 1/10. This means that every 1 millimeter on the drawing represents 10 meters in reality.
To determine the scale used by Johnny for the drawing, we need to compare the measurements in the drawing to the actual measurements of the soccer field. We can set up a proportion to find the scale.
Let's denote the scale as x (the ratio of the drawing measurements to the actual measurements). According to the information provided, the width of the soccer field in the drawing is 6 millimeters, while the actual width is 60 meters.
We can put up the following proportion using the scale:
6 millimeters / x = 60 meters / 1
We can solve for x by cross-multiplying and then dividing:
6 millimeters * 1 = 60 meters * x
6 = 60x
Dividing both sides by 60:
6 / 60 = x
1 / 10 = x
Therefore, the scale used by Johnny for the drawing is 1/10. This means that every 1 millimeter on the drawing represents 10 meters in reality.
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Please help me ASAP tysm
Answer:
?
Step-by-step explanation:
100 POINTS HELP! THIS IS A PROJECT. NOT IN A RUSH.
Describe how to find the terms mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative!
Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
how do you do this?
Answer:
by increasing the size ez
Help me to do this question
Answer:
c1) adjacent
c2) not adjacent
c3) adjacent
c4) not adjacent
c5) adjacent
c6) not adjacent
d1) 20°
Complement: 90° - 20° = 80°
Supplement: 180° - 20° = 160°
d2) 77°
Complement: 90° - 77° = 13°
Supplement: 180° - 77° = 103°
d3) 101°
Complement: doesn't have a complement.
Supplement: 180° - 101° = 79°
d4) 90°
Complement: 90° - 90° = 0°
Supplement: 180° - 90° = 90°
d5) 96°
Complement: doesn't have a complement
Supplement: 180° - 96° = 84°
d6) x
Complement: 90° - x
Supplement: 180° - x
d7) y
Complement: 90° - y
Supplement: 180° - y
Shape ABC has the following coordinate
A (3,9) B (27,-15) C (-12,-6)
The Image A'B'C' of a dilation has the coordinate
A' (1,3) B' (9,-5) C' (-4,-2)
What is the Scale Factor of the Dilation
Solve the right triangle. Round decimal answers to the nearest tenth.
Answer:
Step-by-step explanation:
take angle A as reference angle
using cos rule
cos A = adjacent/hypotenuse
cos A =10/15
cos A =0.66
[tex]A=cos^{-1} (0.6666)[/tex]
A=48.194
A=48.2
angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)
48.2 + angle B + 90 =180
138.2 + angle B =180
angle B =180-138.7
angle B =41.8
for BC
using pythagoras theorem
a^2 + b^2 = c^2
AC^2 + BC^2 = AB^2
10^2 + BC^2 = 15^2
100 + BC^2 = 225
BC^2 = 225-100
BC^2 = 125
[tex]BC=\sqrt{125}[/tex]
BC=5[tex]\sqrt{5}[/tex]
BC=11.2
the graph of f(x) shown below resembles the graph of g(x)=x^2 but it has been changed somewhat which of the following could be the equation of f(x)
Answer:
C
Step-by-step explanation:
The Equation of red parabola is y = -(x-2)² - 1.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have a function,
g(x) = x²
It is a parabola with vertex at (0,0) and the sign is positive then the parabola opens up.
Then, General equation of parabola is
y= a(x - h)² + k
As, the The graph of F(x) opens down that is why it will have negative x²
and vertex at (2, -1)
So, the equation of parabola
y= -1(x - 2)² + (-1)
y = -(x-2)² - 1
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Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots for this function?
f(x) has three imaginary roots.
f(x) has three real roots.
f(x) has two real roots and two imaginary roots.
f(x) has three real roots and one imaginary root.
Answer:
Step-by-step explanation:
A third degree polynomial has a total of three roots, real and imaginary combined.
If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.
Answer:
Three real roots
Step-by-step explanation:
How many quarters does Annie have
A.35
B.49
C.3
D.7
Answer:
n = 7
Step-by-step explanation:
sarah = m
annie = n
sarah has 21 more than annie
m = 21+n
given sarah has 28 quareters
m = 21 + n
28 = 21 + n
28 - 21 = n
7 = n
annie has 7 quarters.
Math Problem Solving
statistics and probability
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
Mean Formula
[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]
[tex]\mu_x^2 = 163.84[/tex]
Variance Formula
[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]
[tex]= 174.2- 163.84\\\\=10.36[/tex]
Standard Deviation Formula
[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]
[tex]=\sqrt{10.36}\\\\=3.218[/tex]
ANSWE PLEASEEEEEEEEEEEEEEE
Answer:
your answer is gonna be A!! <3
Step-by-step explanation:
1 Subtract 33 from both sides.
y-3=-2x
y−3=−2x
2 Divide both sides by -2−2.
-\frac{y-3}{2}=x
−
2
y−3
=x
3 Switch sides.
x=-\frac{y-3}{2}
x=−
2
y−3
Answer:
A
Step-by-step explanation:
Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?
Answer:
15
Step-by-step explanation:
Number of packets shipped out = total weight of electrical supplies / weight of individual packets
[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]
to solve convert the mixed fractions to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15
In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the beginning of stage 2 was 5,000 kilometers per hour. Its speed at the end of Stage 2 will be 25,000 kilometers per hour.
If t is the time, in minutes, from the beginning of stage 2, which equation could be used to determine how long it will take for the speed of the rocket to reach 25,000 kilometers per hour, assuming it increases at the same rate for all of stage 2?
A.
5,000 = 25,000(0.043)t
B.
5,000 = 25,000(0.957)t
C.
25,000 = 5,000(1.043)t
D.
25,000 = 5,000(1.43)t
pleaseee help me with this questionnn
Answer:
itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567
Step-by-step explanation:
otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654
altogether i have 10 bags of sweets. the mean number of sweets in the bag is 40
Answer the question : I don't get what the question is suppose to be
Step-by-step explanation:
Fill in the blank: 12(8x - 4) = __X - 48
Answer:
96x
Step-by-step explanation:
12(8x - 4)
=12*8x - 12*4
=96x - 48
Answer:
96
Step-by-step explanation:
You distribute the 12 to each term, the 8x term turns into 96x after distribution.
ZA — 5х – 12°
ZB = 2х + 24°
B
4
Answer:
Step-by-step explanation:
angle A =angle B (because they are alternate interior angles)
5x-12=2x+24
5x-2x=24+12
3x=36
x=36/3
x=12
angle A=5x-12
5*12-12
60-12
48
angle B=2x+24
2*12+24
24+24
48
what is slop of the line that passes through the ponitss (5, -4) and (7, -4)
Answer:
The slope is 0
Step-by-step explanation:
Points on the graph:
(5, -4) and (7, -4)
Slope:
m=(y2 - y1)/(x2 - x1)
m=(-4 + 4)/(7 - 5)
m= 0/2
m=0
Work out
m
and
c
for the line:
y
=
3
x
+
1
Answer: m=3
Step-by-step explanation:
Write the equation of the line which has a slope of -5 and passes through (-4,4). Write the answer in slope-intercept
Answer:
y = - 5x - 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, then
y = - 5x + c ← is the partial equation
To find c substitute (- 4, 4) into the partial equation
4 = 20 + c ⇒ c = 4 - 20 = - 16
y = - 5x - 16 ← equation of line
Plssssss HELP ME WITH THIS
A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *
Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Find the volume of the shape with the given dimensions 8 in by 5 in by 3 in
Answer:
V = (8 in)(5 in)(3 in) = 120 in^3
Step-by-step explanation:
The likeliest name for this shape is "rectangular prism." Let's assume that the length, L, is 8 in; the width, W, is 5 in; and the height, H, is 3 in.
Then the volume of this rectangular prism is V = L * W * H, or
V = (8 in)(5 in)(3 in) = 120 in^3
you have a baker that is currently at 70°F what would happen if you added water to lower the temperature by 15°
Answer:
65
Step-by-step explanation:
easy
Please help me! It is very important that I get this done but I am beyond confused!
Brandt invests an initial amount P of $180 into an account that pays interest at 2.5% compounded continuously. Carter invests $120 into an account that pays 4.8% compounded continuously. The balance of each investment, A, is calculated using the equation A=Peⁿ. The graph shows their investments over time.
When will their investments reach the same balance?
a. Their investments will never reach the
same balance.
b. Their investments will reach the same
value between years 15 and 16.
c. Their investments will reach the same
value between years 16 and 17.
d. Their investments will reach the same
value between years 17 and 18.
e. Their investments will reach the same
value between years 18 and 19.
Answer:
Step-by-step explanation:
i think it should be d 16 and 17
Can anyone help me please I really need help.
Answer:
what do u need help with
Step-by-step explanation:
solve for x. round to the nearest tenth of a degree, if necessary.
Answer: 46.3
Step-by-step explanation:
Tan = opposite/adjacent
Tan -1 =6.9/6.6
x=46.27
x=46.3
