Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333...
x+2=-19.333+2
=-17.333...
Two similar triangles have a scale factor of 2 : 3. For numbers 7a – 7d, determine whether each statement about the triangles is true or false.
7a. The ratio of their perimeters is 2 : 3. True or False
7b. The ratio of their areas is 4 : 6. True or False
7c. Their perimeters could be 14 cm and 21 cm. True or False
7d. Two corresponding sides could be 6 in and 7 in. True or False
Answer:
Step-by-step explanation:
Two similar triangles have a scale factor of 2 : 3.
7a. The ratio of their perimeters is 2 : 3.
As the sides are 2 : 3, the perimeters which are sums of all sides will also be 2 : 3
True
7b. The ratio of their areas is 4 : 6. True or False
As the sides are 2 : 3, the areas which are the products of two sides will be in the ratio of 2*2 : 3*3 = 4 : 9
False
7c. Their perimeters could be 14 cm and 21 cm. True or False
As the perimeter ratio for 14cm and 21 cm is 14 : 21 = 2 : 3 which complies with 7a. So they could be the perimeters.
True
7d. Two corresponding sides could be 6 in and 7 in. True or False
As the corresponding sides of 6in and 7in, the ratio is 6 : 7 and is different from 2 : 3. So they cannot be corresponding sides.
False
Answer:
Step-by-step explanation:
7a. perimeter=3 sides added so the ratio is the same
The ratio of their perimeters is 2 : 3.
True
7b. area= sidexside so the ratio is 2x2:3x3 = 4:9
The ratio of their areas is 4 : 6.
False
7c. 14:21 =2:3
Their perimeters could be 14 cm and 21 cm.
True
7d. 6:7 <> 2:3
Two corresponding sides could be 6 in and 7 in.
False
Karen is at least 4 years more than twice mary's age (m). Karen is 46 years old. Write a simplified inequality that represents marys age answer
Answer:
46 ≥ 2m + 4
m ≥ 21
Step-by-step explanation:
At least is ≥
Karen's age = 46 years old
Mary's age = m years old
Karen is at least 4 years more than twice mary's age (m).
46 ≥ 2m + 4
46 - 4 ≥ 2m
42 ≥ 2m
m ≥ 42/2
m ≥ 21
Please help with this!
Answer:
pls help me tooo answer that
find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.
The shape can be split into 3 separate shapes:
On the left side a square 3 x 3 = 9 square inches.
The middle rectangle that is 2 x 5 = 10 square inches
The bottom rectangle which is 4 x 4 = 16 square inches
Total area = 9 + 10 + 16 = 35 square inches
Can someone please help me find the measure of angle ABO?
Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
please I really need the help:(
Answer:
41
Step-by-step explanation:
The formula for solving for sin is opposite side/hypotenuse.
The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).
sin A = 28/53
A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.
A ≈ 41
Hope this helped! <3
What is the mean of the data set below 12, 15, 10, 11
Answer:
To find the mean, you add all the numbers given (12, 15, 10, and 11) and then divide by the number of values in the set (in this case, 4). This is the same as finding an average. To do this, you add 12 + 15 + 10 + 11 = 48. ... Therefore, the mean is 12.
Answer:
Your answer is given below:
Step-by-step explanation:
12+15+10+11/4
= 48/4
= 12
ㅡ TheExtraterestrial
the distance from the earth to the sun is( 1.496 x 10^11 ) m and the distance between earth and moon is 3.84 x 10^8 m. during solar eclipse, moon comes in between earth and sun, at the time what is the distance between moon and sun?
Answer:
1.49216 x 10^11 m.
Step-by-step explanation:
That would be the following difference:
1.496 x 10^11 - 3.84 x 10^8
= 1.49216 x 10^11 m.
Help plz..And No links!! I repeat No links!!
Answer:
200 ft^3
Step-by-step explanation:
Volume of rectangular prism equation is
[tex]V=lwh[/tex]
steps in attachment
How do I solve this
When they arrived at the museum,Tyler's dad went to the ticket counter. For each of the 5 members of the family ,he purchased a general admission ticket for $8.75 and a ticket to see a special exhibit . He paid a total of $70?. How much did each of the ticket to the special exhibit cost
Answer:
5.25
Step-by-step explanation:
30,000,000 +40,000+6,000+20+2 in word form
Answer:
thirty million forty-six thousand twenty-two
hope this helps
have a good day :)
Step-by-step explanation:
HELP ME PLAESE ASAPP
What equation is equivalent to (1/3)^x = 27^x+2?
Answer:
Step-by-step explanation:
B
Michals basketball team practiced for 2hours 40 minutes yesterday and 3 hours 15 minutes today how much longer did the team practice today than yesterday
Answer:
35 minutes
Step-by-step explanation:
The is calculated using the Subtraction operation
The number of minutes longer the team practiced today than yesterday =
Number of minutes they practiced today - Number of minutes they practiced yesterday
Number of minutes they practiced today = 3 hours 15 minutes
Number of minutes they practiced yesterday = 2hours 40 minutes
The number of minutes longer the team practiced today than yesterday =
3 hours 15 minutes - 2hours 40 minutes
= 35 minutes
Therefore, the team practiced 35 minutes longer today than yesterday
One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer: 20 cm
Step-by-step explanation:
Given
For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm
Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]
Insert the values
[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]
In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?
Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
circumference of circle=2πr
=2*π*9
=18π m
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 9 m.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
A. C = 18 π ✅
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]
[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]
Therefore, the circumference of the circle is 18 π m.
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
can someone help please
Write the linear function for the graph shown in
slope-intercept form.
Answer:
upper left graph: y = 3/4x-3
lower right graph: x = 3
Step-by-step explanation:
Find the measure of the arc DC
Answer:
The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°
Step-by-step explanation:
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent. Write an equation to represent the relationship between the submarine's elevation and time
Answer:the sub goes down 32.81ft per min
Step-by-step explanation:
2100
2hours
1050ft
1hour
525ft
30min
262.5ft
15min
262.5 ft
7.5min
131.25
4min
65.625ft
2min
32.81ft
1mins
solve for x
roman is standing away from a flag pole, how far away is he standing.
Answer:
13.21148134 meters
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 39 = x /17
17 cos 39 = x
13.21148134 = x
Answer:
Step-by-step explanation:
take 39 degree as reference angle
using cos rule
cos 39=adjacent/hypotenuse
0.77=x/17
0.77*17=x
13.09=x
What is the area of the rectangle above
A.48 square cm
B.28 square cm
C.14 square cm
D. 24 square cm
Answer:
24
Step-by-step explanation:
Area = width * length
Given width = 2cm
Given length = 12cm
Area = 2 * 12 = 24
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.
Answer:
Step-by-step explanation:
total students = 27
students do not have a brother probability = 13/27
students do not have a sister probability = 12/27
= 4/9
Hope this is correct :)
The probability that a student is chosen randomly from the class does not have a sister is 0.375.
The probability that a student is chosen randomly from the class Has a brother is 0.208.
The probability that a student is chosen randomly from the class does not have a brother is 0.7916.
The probability that a student is chosen randomly from the class Has a sister is 0.625.
What is the probability?Probability is the branch of mathematics, which discusses the occurrence of a random experiment.
First, we need to calculate how many total students there are.
Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.
Total Students = 3 + 12 + 2 + 7 = 24 students
The probability that a student is chosen randomly from the class does not have a sister is;
[tex]= \dfrac{2+7}{24}\\\\=\dfrac{9}{24}\\\\=0.375[/tex]
The probability that a student is chosen randomly from the class Has a brother is;
[tex]= \dfrac{3+2}{24}\\\\=\dfrac{5}{24}\\\\= 0.208[/tex]
The probability that a student is chosen randomly from the class does not have a brother is;
[tex]= \dfrac{7+12}{24}\\\\=\dfrac{19}{24}\\\\= 0.7916[/tex]
The probability that a student is chosen randomly from the class Has a sister is;
[tex]= \dfrac{3+12}{24}\\\\=\dfrac{15}{24}\\\\= 0.625[/tex]
Learn more about proability here;
https://brainly.com/question/23959949
#SPJ2
Need help with this??? Please!!!
Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form. Select one:
Don't use files please
a. y=-3/4x+11/4
b. y=3/4x+11/4
c. y=-4/3x+2/3
d. y=-3/4x+5/4
OPTION
d. y= -3/4x+5/4 is the correct answer.
Refer to the attachmenta for complete calculation
what is the distance between a and b
a 45
b 20
c 25
d 60
If the measure of arc CB is 8/3 pi units, what is the measure of angle CAB
Answer:
120° = CAB
arc lenght = CÁB/ 360 × 2(pi)(4)
a/2pi(4) = CAB/360
8/3(pi)/2(pi)(4) × 360 = CÁB
120 = CAB
Answer:
120°
Step-by-step explanation:
that is the procedure above