Answer:
[tex]12x^{3} +28x^{2} +3x + 7[/tex]
Step-by-step explanation:
Use the FOIL method...
multiply [tex]4x^{2}[/tex] by 3x, [tex]4x^{2}[/tex] by 7, 1 by 3x and 1 by 7 to find the answer
BD−→− bisects ∠ABC such that m∠ABD = (4x−5)∘ and m∠DBC = (3x+2)∘.
Find m∠ABC.
m∠ABC = ∘
Answer:
[tex]\angle ABC=(46)^{\circ}[/tex]
Step-by-step explanation:
Given: BD bisects [tex]\angle ABC[/tex]
[tex]\angle ABD=(4x-5)^{\circ}\\\angle DBC=(3x+2)^{\circ}[/tex]
To find: [tex]\angle ABC[/tex]
Solution:
A bisector of an angle divides it into angles of equal measures.
As BD bisects [tex]\angle ABC[/tex], [tex]\angle ABD=\angle DBC[/tex]
Put [tex]\angle ABD=(4x-5)^{\circ}\,,\,\angle DBC=(3x+2)^{\circ}[/tex]
[tex]\angle ABD=\angle DBC\\(4x-5)^{\circ}=(3x+2)^{\circ}\\4x-3x=2+5\\x=7^{\circ}[/tex]
So,
[tex]\angle ABD=(4x-5)^{\circ}=(4(7)-5)^{\circ}=(28-5)^{\circ}=(23)^{\circ}\\\angle DBC=(3x+2)^{\circ}=(3(7)+2)^{\circ}=(21+2)^{\circ}=(23)^{\circ}[/tex]
[tex]\angle ABC=\angle ABD+\angle DBC\\=(23)^{\circ}+(23)^{\circ}\\=(46)^{\circ}[/tex]
A bisector divides lines, angles and shapes into equal segments
The measure of angle ABC is 46 degrees
The given parameters are:
m∠ABD = (4x−5)∘ m∠DBC = (3x+2)∘Given that line BD is the bisector of angle ABC, it means that:
[tex]\angle ABD = \angle DBC[/tex]
and
[tex]\angle ABC = 2\times \angle ABD[/tex]
So, we have:
[tex]4x - 5 = 3x +2[/tex]
Collect like terms
[tex]4x - 3x = 5 +2[/tex]
Evaluate like terms
[tex]x = 7[/tex]
Recall that
[tex]\angle ABC = 2\times \angle ABD[/tex]
So, we have:
[tex]\angle ABC = 2 \times (4x - 5)[/tex]
Substitute 7 for x
[tex]\angle ABC = 2 \times (4\times 7 - 5)[/tex]
[tex]\angle ABC = 2 \times (28 - 5)[/tex]
[tex]\angle ABC = 2 \times 23[/tex]
[tex]\angle ABC = 46[/tex]
Hence, the measure of angle ABC is 46 degrees
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Bob is performing an experiment to learn more about probability. He has a box of pink, yellow, blue, and white ribbons. He randomly picks a ribbon from the box and then replaces it. He does this 100 times. The table shows the number of times he picks a ribbon of each color. Ribbon Color Number of Times Picked pink 10 yellow 20 blue 40 white 30 The relative frequency of picking a pink ribbon is . The relative frequency of picking a white ribbon is . It is most likely that the number of ribbons in the box is the highest. It is most likely that the number of ribbons in the box is the lowest
Answer:
1. 0.1
2. 0.3
3. blue
4. pink.
Step-by-step explanation:
Got it right, hope this helps! :)
The blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The relative frequency of picking a pink ribbon is found by dividing the number of times a pink ribbon was picked by the total number of times Bob picked a ribbon:
Relative frequency of pink ribbon = 10/100 = 0.1 or 10%
Similarly, the relative frequency of picking a white ribbon is:
Relative frequency of white ribbon = 30/100 = 0.3 or 30%
To determine which ribbon color is most likely to be the highest or lowest, we can compare the relative frequencies.
The blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.
Conversely, the pink ribbon was picked the least with a relative frequency of 10%, which means it is most likely that there are fewer pink ribbons in the box than the other colors.
Hence, the blue ribbon was picked the most with a relative frequency of 40%, which means it is most likely that there are more blue ribbons in the box than the other colors.
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In a class of c child, ¾ are boys. How many of them are girls?
Answer:
I'm going to say that there is one girl in the class
The shaded portion of each model represents
1
10
110
.
Which can be used to find the total shaded area in all 4 models?
All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?
The ratio of boys to girls in Ella’s grade is 3 to 4.
The ratio of boys to girls in Minh’s grade is 4 to 5.
Each grade has a total of 20 girls.
Choose True or False for each statement below.
Ella’s grade has more boys than Minh’s grade.
Minh’s grade has more boys than Ella’s grade.
Ella’s grade has 15 boys.
Minh’s grade has 8 boys.
Answer:
Minh's grade has less boys than Ella's
Which of the following equations has the same solution as m - (-62) = 45?
1.) 25 - x = 8
2.) 120 + x = 13
3.) 120 - x = 13
4.) x + 25 = 8
Answer:
Step-by-step explanation:
m + 62 = 45
m = -17
x + 25 = 8
x = -17
Which form or linear equations are these pls help last day of school due tonight !
Answer:
standard form
Step-by-step explanation:
What is the distance in scientific notation?
0.0065 meters
Answer:
this is the right answer : 6.5 * 10^-3 m
Martin has 4 tickets to Ice Fantasy with the Stars. They cost him $15.75 each, plus $3.50 in handling per ticket, and $9.50 in shipping. What was the total cost of the tickets?
$86.50
$79.50
$99.50
$70.00
Answer:
115
Step-by-step explanation:
Answer:
Step-by-step explanation:
$86.50
In a survey of 2 comma 3002,300 people who owned a certain type of car, 1 comma 2651,265 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55% of the people surveyed were satisfied with the car
Step-by-step explanation:
The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.
The percentage is the proportion multiplied by 100.
We have that:
2,300 people surveyed
1,265 said they would buy that type of car again.
1265/2300 = 0.55
0.55*100 = 55%
55% of the people surveyed were satisfied with the car
On Wednesday, Joel, who is right-footed, takes exactly 20\%20%20, percent of his practice shots on goal with his left foot. Joel takes 141414 shots with his left foot.
How many total shots on goal did Joel take on Wednesday?
Answer:
5
Step-by-step explanation:
Answer:
Joel took 70 total shots on goal on Wednesday.
Step-by-step explanation:
Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?
Simplify these expressions
a) 5 x x
b) 6 xxxy
c) 2 xxx 3xy
What’s the answer to -8xy+2xy
Answer:
-8xy+2xy=-6xy
A dolphin is swimming at a constant speed. It travels 30 meters every 5 seconds. What is the slope of the line that shows the relationship between x, time in seconds, and y, the distance in meters traveled by the dolphin?
Answer:
slope is 6
Step-by-step explanation:
slope is defined as you move from left to right or from up to down.
30 meters/5 seconds = 6
Son of Hannah‘s plants need water every day some need water every other day and some need water every third day if she what is an all today how many days will it be before she waters them all again
Answer:
3 days
Step-by-step explanation:
Some of Hannah‘s plants need water every 1 day.
Some need water every third(3) day.
If she waters them all today, we are to determine when next she will waters them all again.
To do this, we find the lowest common multiple of 1 and 3.
L.C.M of 1 and 3=3
Therefore, in 3 days time, she will water them all again.
Radius = 11 cm.; Height = 10 cm.
Answer:
[tex]3801.32 {cm}^{3} [/tex]
Step-by-step explanation:
[tex]V
=
π
{r}^{2}
h
\\
=
π
·
{11}^{2}
·
10
\\
≈
3801.3271[/tex]
Zapisz w postaci ułamka dziesiętnego: A)224/10=....... B)5315/10=...... C)3783/100=...... D)34502/1000...... Proszę o szybką odpowiedź Daje naj i 20 punktów
Answer:
[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]
Step-by-step explanation:
To solve the problem, we need to write each fraction in decimal form.
Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.
[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]
HELP ITS A TIMED FINAL
Answer:
10 months
Step-by-step explanation:
So you should pick equation B, since it fits all the criteria.
Solve it:
25m + 33950 = 35700 - 150m
175m = 1750
m = 10
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
10°F
20°F
122°F
132°F
The temperature in degree Fahrenheit is (c) 122
The function is given as:
[tex]C = \frac 59(F - 32)[/tex]
When the temperature is 50 degrees Celsius, it means that:
C =50
Substitute 50 for C in [tex]C = \frac 59(F - 32)[/tex]
[tex]50 = \frac 59(F - 32)[/tex]
Multiply through by 9
[tex]450 = 5(F - 32)[/tex]
Divide both sides by 5
[tex]90 = F - 32[/tex]
Add 32 to both sides
[tex]F = 90 +32[/tex]
[tex]F = 122[/tex]
Hence, the temperature in degree Fahrenheit is (c) 122
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PLEASE HELP ASAP 50 PTS
Answer:
3. AC
4. DC
Step-by-step explanation:
3. The largest interior angle and side are opposite each other.
The largest angle is angle B so AC is the longest side
4. The smallest interior angle and side are opposite each other.
The smallest angle is A so DC is the shortest side
Answer:
dc is the correct answer
Step-by-step explanation:
In ΔGHI, the measure of ∠I=90°, IG = 48 feet, and HI = 22 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answer: 24.6
Step-by-step explanation:
Harry bought 3 shirts that cost the same amount each. He also bought a pair of pants for $25. He spent a total of $70 on all items. Which equation could be used to calculate the cost of each shirt.
Answer:
70 - 25 ÷ 3
Step-by-step explanation:
Yeah it doesn't really need an explanation because I just did the work for you lol.
Plz click the Thanks button!
<Jayla>
Solve the equation. \dfrac18 + c = \dfrac45 8 1 +c= 5 4 start fraction, 1, divided by, 8, end fraction, plus, c, equals, start fraction, 4, divided by, 5, end fraction c=c=c, equals
Answer:
[tex]c=\dfrac{27}{40}\\[/tex]
Step-by-step explanation:
We are required to solve for c in the equation: [tex]\dfrac{1}{8}+c= \dfrac{4}{5}[/tex]
Step 1: Collect like terms
[tex]\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}[/tex]
Step 2: Find the Lowest Common Multiple of the denominators
LCM of 8 and 5 is 40
Step 3: Multiply all through by 40
[tex]40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40[/tex]
Step 4: Simplify
40c=32-5
40c=27
Step 5: Divide both sides by 40 and simplify if possible.
[tex]c=\dfrac{27}{40}\\[/tex]
Answer:
27/40
Step-by-step explanation:
Can you please help me and i will give you a Brainiest
Answer:
the answer might be 'scariest zoo animal'
Step-by-step explanation:
hope this helps
Answer:
i think the answer is "favorite zoo animal"
Step-by-step explanation:
because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"
The rail fare £16.25 is increased by 5%; how much does the fare now co st?
Given our current rail fare of £16.25, we are looking for the price of the rail fare after a 5% increase.
To find the value of a 5% increase, we can multiply the rail fare by 1.05 since it is 5% added to the total value.
Or, we can multiply the rail fare by 5 and then divide by 100 to get how much will be added onto it.
Let's do both of them:
Increase: 5%
Equation: 1.05 x 16.25
1.05 x 16.25 = 17.06 rounded to the nearest cent
Rail Fare after 5% increase: £17.06
Increase: 5%
Equation: (5 x 16.25)/100
81.25/100 = .81 rounded to nearest cent
Then, we add them together.
16.25 + 81 = 17.06
Rail Fare after 5% increase: £17.06
Divide and answer in simplest form :) 5/3÷3
Answer:
5/9
Step-by-step explanation:
5/3÷3
Copy dot flip
5/3 * 1/3
5/9
What is the greatest four digit number that can be made using the digits 3,1,6, and 4?
Answer:
6,431
Step-by-step explanation:
Please help with this work
Answer:
B = 80
Step-by-step explanation:
y = 4x
y = 1/2x + 280
Substitute one equation into another.
4x = 1/2x + 280
Combine like terms
3.5x = 280
x = 80
The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80. Option B is correct.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The amount of revenue in dollars, y, that Jason receives from selling x posters is given by the equation y = 4x. The cost of producing x posters is given by the equation y = (1/2)x + 280.
Then the number of posters that Jason needs to sell so that the cost and revenue are equal will be given as,
4x = (1/2)x + 280
4x - (1/2)x = 280
(7/2)x = 280
7x = 560
x = 80
The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80.
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HELPPPPPPP plz will mark brainliest and 25 pts
Write the standard form of the equation for the circle that passes through the points (2, 31), (–15, 14), (33, 0). Then identify the center and radius.
Question 4 options:
a. (x – 6)2 + (y – 5)2 = 625; center (6, 5), r = 25
b. (x – 9)2 + (y – 7)2 = 625; center (7, 10), r = 5
c. (x+ 7)2 + (y + 10)2 = 25; center (9, 7), r = 25
d. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5
Answer:
y= x^2/24 + 11x/24 +121/4
Step-by-step explanation:
The standard form of the equation for the circle that passes through the points will be D. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5
What is standard form?It should be noted that s standard form simply means a form or writing a a mathematical concept in a form that follows certain rules.
In this case, the standard form of the equation for the circle that passes through the points will be x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5
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