Answer:
5 cm
Step-by-step explanation:
Area= 1/2 base×altitude
let base be x cm hence altitude = x+7 cm
30 = 1/2 (x) (x+7)
60= x^2 + 7x
x = 5 or - 12
but measurements can't be in negative form hence -12 is discarded. Thus x= 5 cm
x= base hence base = 5cm
Answer:
base = 5 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the altitude )
let base be b then h = b + 7
Given A = 30, then
[tex]\frac{1}{2}[/tex]b(b + 7) = 30 ( multiply both sides by 2 to clear the fraction )
b(b + 7) = 60 ← distribute left side
b² + 7 = 60 ( subtract 60 from both sides )
b² + 7 - 60 = 0 ← in standard form
(b + 12)(b - 5) = 0 ← in factored form
Equate each factor to zero and solve for b
b + 12 = 0 ⇒ b = - 12
b - 5 = 0 ⇒ b = 5
However, b > 0, thus b = 5
That is the base is 5 cm
write an equation for a line parallel to the line y=1/3x-4 through (3,-2)
NEED HELP....LIKE NOW!!!!!!!
Answer:
is it for a test or something
Step-by-step explanation:
Your given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side to construct a valid triangle
Answer:
3cm < L < 15cm
Step-by-step explanation:
Given :
Side lengths:
Side 1 = 6cm and side 2 = 9cm
In other to construct a valid triangle, the length of the third side must lie in between.
That is ;
Minimum length must be greater than :
(side 2 - side 1)
9cm - 6cm = 3cm
Maximum length must not exceed :
(side 1 + side 2)
9cm + 6cm = 15cm
Hence, for a valid length for the 3rd side, L:
L > 3cm and L < 15 cm
3cm < L < 15cm
Solve for k.
3k–4≥ - 10
Answer:
k ≥ - 2
Step-by-step explanation:
Given
3k - 4 ≥ - 10 ( add 4 to both sides )
3k ≥ - 6 ( divide both sides by 3 )
k ≥ - 2
7. A train which is 100 meters long is traveling at a speed of 90 km per hour. How many
seconds will it take for this train to pass completely through a 300 meter tunnel?
A 4
B 8
C 12
D 16
E 20
The answer is D, 16. How do you get 16 tho?
Answer:
D; 16 seconds
Step-by-step explanation:
speed = distance/time
speed = 90 km/hr
We need to convert this to m/s because the tunnel is in meters and the time is in seconds:
[tex]\frac{90km}{hr} * \frac{1hr}{3600s} *\frac{1000m}{1km} =25m/s[/tex]
distance = 300 m (tunnel) + 100 m (train) = 400 meters
Solving for time:
[tex]25m/s=\frac{400m}{t} \\(25m/s)(t)=400m\\t=\frac{400m}{25m/s} \\t=16 s[/tex]
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
The elevation of the point closest to sea level is
feet, and the elevation of the point farthest from sea level is
feet.
Answer:
-47
Step-by-step explanation:
in negative numbers the higher you go, the lower it is.
think of opposites, this least to greatest: -47, -24, -18, -8, ok, so you can see that -47 is the least.
Hope this helps you, have a great day.
please help i can’t figure this out
Answer:
C because 100 percent of 15 is 15 and 20 percent of 15 is 3
I can’t really afford to lose this...It can help me just need the last answer
Answer:
x = 5
Step-by-step explanation:
the angles of a triangle add up to 180°
17x+13x+6x=180
36x = 180
x = 5
Answer: 5
Step-by-step explanation:
To start off, the angles of a triangle add up to 180.
Therefore, you would find he answer by adding all the angles together and making it equal to 180.
13x+17x+6x=180
When you solve the equation, you will get X=5.
To check your work:
13 times 5=65
17 times 5=85
6 times 5=30
65+85+30=180
Jaden has 3 times as many pieces of gum as Brian has. Jaden has 150 pieces of gum. How many pieces of gum does Brian have?
Answer:
Brian has 50 pieces of gum
Step-by-step explanation:
Jaden has three times as many
Therefore-
n x 30 = 150
We need to solve for n
You can do that by dividing 150 by 3
150/3 = 50
So Brian has 50 pieces
Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time since I can't post them all. This is the second part :'|
Answer:
The answer is w^2 -12w +36
Find the slope of the line that contains the points (-2, 1) and (-2,-9)
Answer:
Slope of the line if two points are known
Step-by-step explanation:
Formula is y2-y1/x2-x1
so that 1-(-9)/-2-(-2)
10/0 is undefined that means line is parallel to y-axis
when a line is parallel to y axis it has no slope.
A fair six sided dice is rolled twice. What is the theoretical probability that the first number is greater then or equal to the second number. WILL AWARD BRAINLIEST.
36 total outcomes
Step-by-step explanation:
Since there are a 6/times 6= 36 possible outcomes
The polynomial x3+ 2x2+ 7x4− 3 represents the shape of a blender. Select all the statements that are true about the blender
.◻A.The degree of the polynomial is 3.
◻B.Written in standard form, the polynomial is 7x4+x3+ 2x2− 3.
◻C.The sides of the blender are increasing for all real numbers.
◻D.The sides of the blender are similar to f(x) =x.
◻E.The blender’s sides increase to the left and to the right
while i dont know if there is more i do know that b and e are correct
Answer:
DDDDDDDDDDDDD
Step-by-step explanation:
DDDDDDDDDDD
A circle has an area of 254.469. What is the radius? (round to the nearest whole number)
Answer:
c = 2 r π = 2 * 9.0048 * 3.14159 = 56.55 units
If you can help please answer
Answer:
see below
Step-by-step explanation:
3. [tex]\angle BCA = \angle CAD[/tex]
Reason
By alternate interior angles
4. [tex]\triangle ABC \cong \triangle CDA[/tex]
Reason
By SAS
If you were to befriend a person in the first 2 months of school, would you trust them, yes or no?
Answer:
I guess that would depend on the type of person they are-
Step-by-step explanation:
If your good at math pls help me I’ll mark brainliest
Answer:
it's answer is A x = 3
x³ = 27
x³ = 3³
x = 3
Hope it will help :)
Answer:
A. x = 3
Step-by-step explanation:
The question is;
[tex]x^{3} = 27[/tex]
To solve it, one has to do;
[tex]x = \sqrt[3]{27}[/tex]
(x equals the cube root of 27)
The cube root essentially asks, what number times itself three times equals the number under the radical.
3 times itself 3 times equals 27, hence the answer is 3.
Write the equation in slope-intercept form of the line that passes through
(12,9) and is perpendicular to the graph of y = -3/4x + 1.
Answer:
We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:
[tex]y=\frac{4}{3}x-7[/tex]Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the line
y = -3/4x + 1
comparing with the slope-intercept form of the line equation
The slope = m = -3/4
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -3/4
Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3
Using the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = 4/3 and the point (12, 9)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-9=\frac{4}{3}\left(x-12\right)[/tex]
Add 9 to both sides
[tex]y-9+9=\frac{4}{3}\left(x-12\right)+9[/tex]
[tex]y=\frac{4}{3}x-16+9[/tex]
[tex]y=\frac{4}{3}x-7[/tex]
Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:
[tex]y=\frac{4}{3}x-7[/tex]What is a solution?
4
Group of answer choices
y=-1
(0,4)
No Solution
(2,-1)
Answer:
fwoueyfg WFE
Step-by-step explanation:
TIE FIGHTERS GO ZOOOOM
Solve for
x
a) 7^x = 1
Answer:
x=0
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent. Hope this helps!
Jaden made a pot of chili with 24 ounces of ground beef and 3 tablespoons of chili powder. He made another pot of chili with the same amount of ground beef, but he used 2 times as much chili powder. How many pounds of ground beef per tablespoon of chili powder did he use in the second pot of chili
Answer:
0.25 pound per table spoon
A baseball team played 154 regular season gamesThe ratio the tumber games they the games they lost 2/5 How many games they many games did they lose?I WILL MARK THE BRAINEST!!!
Answer:
61
Step-by-step explanation:
154 * 2/5 = 61.6
(1,-19), ( -2,-7) what's the slope?
Answer:
Slope: -4
Step-by-step explanation:
1) Which graph shows different numbers of tickets that Elena can sell to raise more than $180?
2) I would like to know who to mark people the brainiest!!! :)
Answer:
It is the top right
Step-by-step explanation:
I got it right
3) Jackson ate a chocolate bar in 2 1/2 minutes. How much of the bar did he eat
in one minute?
I DESPERATELY NEED HELPPPP
Answer:
0.4 of the chocolate bar.
Step-by-step explanation:
The two-way frequency table below shows data on whether medicine was taken and cold length for
participants in a study conducted by The Cold Be Gone Company.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
PLEASE HELP
Answer: Cold length 7+days and medicine taken is 0.24, the box under is 0.76. Cold length 7+days and medicine not taken is 0.69 and the box under is 0.31. It should look like: 0.24 0.69
0.76. 0.31
Step-by-step explanation: the box is vertical, the total is on the bottom and not the side. This means that you would have to add 6 and 19 together to get 25. 6/25 is 0.24 and the box under would be the rest of the number to get to 1.00 (0.76) because the total is on the bottom. If the total was on the side then you would do 6+27=33, then 6/33 = 0.18 and the remaining amount needed to get to 1.00 is 0.82. Furthermore, if the table has the total at the bottom then, the numbers you add are on the bottom and top box. If the table has the total on the side then, the numbers you add are the boxes that are on the left and right. Remember to round to the nearest hundredth. Your welcome.
The two-way column relative frequency table is,
Medicine taken Medicine not taken
cold length (≥ 7 days) 0.24 0.69
cold length (< 7 days) 10.76 0.31
Total 1.00 1.00
What is two-way frequency table?"It is a way to display frequencies for two categorical variables." "One category is represented by rows and a second category is represented by columns."What is two-way relative frequency table?"It is a way to display relative frequencies (percentages or ratios), instead of just frequency counts."
For given example,
we have been given a two-way frequency table on whether medicine was taken and cold length.
We need to find the column relative frequency table.
First we find the total of each column.
Medicine taken Medicine not taken
cold length (≥ 7 days) 6 27
cold length (< 7 days) 19 12
Total 25 39
Now, divide each element of column by its respective total.
Medicine taken Medicine not taken
cold length (≥ 7 days) 6/25 27/39
cold length (< 7 days) 19/25 12/39
Total 25/25 39/39
Therefore, the two-way column relative frequency table would be,
Medicine taken Medicine not taken
cold length (≥ 7 days) 0.24 0.69
cold length (< 7 days) 10.76 0.31
Total 1.00 1.00
Learn more about relative frequency table here:
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I NEED CORRECT ANSWERS FOR THESE THREE QUESTIONS ASAPPP FOR 25 POINTS
Answer:
[tex]1) y = - \frac{3}{2} x + 4[/tex]
[tex]2)y = x + 5[/tex]
[tex]3)y = 4 + 5x[/tex]
Helppppppp Il mark you brainlist!!!! Helppppppp Il mark you brainlist!!!!
A group of people were asked if they had run a red light in the last year. 248 responded "yes", and 106 responded "no".
How do I solve this?
Answer:
Im confused what are u supposed to do ?
Step-by-step explanation:
Skylar is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms, that can room 3 people, and large rooms, that can room 4 people. How many wedding guests could stay in the hotel if Skylar reserved 15 small rooms and 8 large rooms? How many wedding guests could stay in the hotel if Skylar booked ss small rooms and ll large rooms?
Answer: 77 guests (I think)
Step-by-step explanation:
Mrs. Jones drove 138 miles in 2.25 hours and Mr. Jones drove 159 miles in 2.5 hours. Who was driving faster?
Answer:
Mr. Jones
Step-by-step explanation:
it's Mr. Jones because he drove 63.6 miles and his wife drove 61.3