Answer:
[tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Remember this??- [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Now substitue the points on that! It should look like this!- [tex]\frac{6-(-7)}{2-(-3)}[/tex]
Now SOLVE!! You should get- [tex]\frac{13}{5}[/tex]
There ya go!! Stay Safe, Stay at Home!! =)
4) The hospital and the fire department are 46 meters apart. From a window in the hospital,
the angle of elevation to the top of the fire department is 730. From the same window, the
angle of depression to the ground at the base of the fire department is 640. Find the height
of the fire department to the nearest tenth.
The height of the fire department is 244.72 m
Step-by-step explanation:
A)
Angle of elevation = 73°
The distance between the two buildings = 46 m
tan 73° = b/46
tan 73° = 3.27
tan 73° = b/46
3.27 = b/46
b = 3.27 x 46
b = 150.42 m
B)
Angel of depression= 64°
The distance between the two buildings = 46 m
tan 64° = a/46
tan 64° = 2.05
tan 64° a/46
2.05 = a/46
a = 2.05 x 46
a = 94.3 m
The total height of the fire department building = a + b
= 94.3 + 150.42
= 244.72 m
The height of the fire department is 244.72 m
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
147 pi = one-third (7) (h) squared
147 pi = one-third pi (7 squared) (h)
147 pi = one-third pi h
147 pi = one-third pi (7) (h)
Answer:
147 pi = one-third pi (7 squared) (h) 147 pi = one-third pi h
explanation:
Answer:
b. 147 pi = one-third pi (7 squared) (h)
Step-by-step explanation:
did test on e2021
If 2x – 3 + 3x = – 27, what is the value of x?
Answer:
x = -24/5
Step-by-step explanation:
2x – 3 + 3x = – 27
Combine like terms
5x -3 = -27
Add 3 to each side
5x-3+3 = -27+3
5x = -24
Divide each side by 5
5x/5 = -24/5
x = -24/5
Answer:
x= -24/5
Step-by-step explanation:
To solve, we need to get x by itself.
2x – 3 + 3x = – 27
Combine like terms
(2x+3x)-3= -27
5x-3=-27
Add 3 to both sides
5x-3+3=-27+3
5x= -24
Divide both sides by 5
5x/5= -24/5
x= -24/5
Pedro uses a coordinate system to map the locations of some tourist locations in a large city. Each grid unit represents 1 mile. Pedro wants to walk from the historic village to the science center. Then he will walk from the science center to the muesem. If he walks at speed of 2 7/10 miles per hour, how long will it take him. PLEASE ANSWER FAST
Answer:
5 hours
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Given that:
Each grid unit represents 1 mile Pedro's routes are: historic village => the science center => the museum Speed of 2 7/10 = [tex]\frac{27}{10}[/tex] miles per hourand the given coordinates are:
historic village (-4 1/2, 5 1/4) = (-4.5, 5.25)
science center (-4 1/2, -1 3/4) = (-4.5, -1.75)
the museum (2, -1 3/4) = (2, -1.75)
=> The distance from historic village to the science center :
=[tex]\sqrt{(-4.5 -(-4.5))^{2} + (-1.75 - 5.25)^{2} }[/tex] = 7
=> The distance from the science center to the museum:
= [tex]\sqrt{(2 -(-4.5))^{2} + (-1.75 - (-1.75))^{2} }[/tex] = 6.5
=> the total distance he travel is: 7 + 6.5 = 13.5 miles
The hours he traveled is: 13.5 miles / [tex]\frac{27}{10}[/tex] miles per hour
= 5 hours
what two numbers give you the difference of 4 and the sum of 58?
Answer:
46.4 & 11.6
Step-by-step explanation:
I just did some guess and check, but 46.4/11.6 = 4 and 46.4+11.6 = 58
Find the slope of the line that passes through (97,-54) and (-1, -15)
Answer:
The slope is -39/98
also known as m=-39/98
What do we do if the slope is a whole number ?
Answer: you convert it to a fraction
Step-by-step explanation: lets say the slope was 7 and you wanted to canovert it to a decimal
then you would make the denominator 1
so 7/1 which is equal to 7
hope this helps mark me brainliest if it helped
Here is an inequality: -2x>10
Select all the values in the list for x that would make this inequality true
-10
-4
2
-6
-5
-8
0
-43
Answer:
The answer is -6, -8, -10 and -43.
Step-by-step explanation:
You can solve it :
-2x > 10
x < 10 ÷ -2
x < -5
(take note: you have to change symbol when it is divided by a negative no.)
Then choose the numbers from the options that satisfies the inequality, x < -5
Answer:
-10
-6
-8
-43
Step-by-step explanation:
(-2)*(-10)=20, 20>10
(-2)*(-4)=8, 8<10
(-2)*2=-2, -2<10
(-2)*(-6)=12, 12>10
(-2)*(-5)=10, 10=10, so it is not true
(-2)*(-8)=16, 16>10
(-2)*0=0, 0<10
(-2)*(-43)=86, 86>10
hope this helps :D
Please help :/ whoever answers I will put as brainpower answer ;)
Answer:
(x-9)^3
Step-by-step explanation:
so first you see "the cube" which means ^3 to whatever you are going to have
the difference means the answer of a subtraction equation
the the difference between "a number" (x) and 9 is (x-9)
then you see that when "adding" those together you get (x-9)^3
hope this helps
What is the measure of QS?
84°
The measurement of arc QS is 168 degree.
Now, Let the center of the given circle is O .
And central angle is double of the angle subtended by the arc.
So central angle is twice of 84 degree.
Hence, the measure of QS is,
= 2 x 84
= 168 degree
So, the central angle is of measurement 168 degree.
Therefore, The measurement of arc QS is 168 degree.
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What is the probability of an event that is impossible?
Answer:
0
Step-by-step explanation:
If the event is not possible it's not going to happen
The Pythagorean theorem states that if two side lengths of a(n) _____ triangle are known, the length of the third side can be found.
Answer:
right triangle
Step-by-step explanation:
Which value of x makes the following equation true?
3(x - 4) - 12 = 2(x - 6) + 5
Answer:
x = 17
Step-by-step explanation:
3(x - 4) - 12 = 2(x - 6) + 5
3x - 12 - 12 = 2x - 12 + 5
3x - 24 = 2x - 7
3x - 2x = -7 + 24
x = 17
Answer:
x=17
Step-by-step explanation:
3(x - 4) - 12 = 2(x - 6) + 5
Distribute
3x -12 -12 =2x-12 +5
Combine like terms
3x-24 = 2x -7
Subtract 2x from each side
3x-2x -24 =2x-2x-7
x-24 = -7
Add 24 from each side
x-24+24 = -7+24
x = 17
somebody pls answer this for me i will give you the brainliest
The total area of the parallelogram is 20 square inches
Calculating the area of the parallelogramFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
The total area of the parallelogram is calculated using
Area = Base * Height
Measuring the side lengths of the parallelogram, we have
Base = 4 inches
Height = 5 inches
Using the area formula , we have the following:
Area = 4 inches * 5 inches
Evaluate
Area = 20 square inches
Hence. the total area of the figure is 20 square inches
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The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey
method is most likely to provide a biased sample?
A. survey all of the seventh-grade students
B. survey every fifth seventh-grade student that arrives at school
C. survey 50 seventh-grade students whose names are chosen from an alphabetical list
D. survey those seventh-grade students who participated in this year’s art fair
Answer:
D. survey those seventh-grade students who participated in this year’s art fair
Step-by-step explanation:
The people who participated in the art fair will most likely want to go to the art museum, which is a biased result.
Answer:
it's d
Step-by-step explanation:
hope it helps :)
An employee put $5,000 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. How much interest will the employee have earned at the end of 5 years. Make sure to round your answer to the hundredths.
Answer:
$2,693.12 will the employee have eared at the end of 5 years.
Step-by-step explanation:
The formula of compound interest:
[tex]A=P(1+r)^n[/tex]
[tex]I[/tex] = A-P
A= The amount in the account after n years
P= Principal
r= rate of interest annually
n= time in years.
An employee put $5,000 in retirement account that offer 9% interest compounded annually.
Here P=$5,000, r=9%=0.09, n= 5 years
[tex]A=5,000(1+0.09)^5[/tex]
=$7,693.12
The interest = A-P
=$(7,693.12-5,000)
=$2,693.12
$2,693.12 will the employee have eared at the end of 5 years.
select the number like that matches the expression |-6-(-3)|
Answer:
3
Step-by-step explanation:
Firstly, do the numbers inside the absolute value bars.
-6-(-3)
The two negatives that are together turn to a addition sign.
-6+3
You can just subtract 6 and 3 which is 3 and add the - to it.
|-3|
The -3 turns to a 3 since the absolute value bars make all numbers positive within the bars.
Hope this helped.
Help please I’m on a time limit
Answer:
I think that it is 295 degrees
Step-by-step explanation:
What is the slope of the line on the graph below?
On a coordinate plane, a line goes through points (0, negative 5), (3, negative 4), and (6, negative 3).
Answer:
i think the answer is 1/3 but i'm not positive
Step-by-step explanation:
The slope of a linear line which is passing through the lines (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.
What is slope ?In mathematics, slope of a line describes the steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.
For straight line passing through some points, the x and y coordinates are related by the following expression:
y = mx +c
Where c is the intercept m be the slope.
For a line passing through two points, the slope m is :
m = y2 - y1 / (x2- x1)
Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3
Similarly if we consider the points (3, -4) and (6, -3) we get the same slope 1/3.
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All of the following statements are true, except . . .
The product of b and c is positive.
The product of a and c is negative.
The product of b and 0 is 0.
The product of a and b is positive.
The only definite conclusion from the given information is that the product of b and c is positive, while the signs of a and b individually cannot be determined conclusively. Here option B is correct.
The product of a and c is negative: We cannot determine the signs of a and c individually, but from the given information, we can say that their product is negative. This is because the sum of a and c is 0 (a + b + c = 0), and b is positive.
If both a and c were positive or negative, their sum would be positive or negative, respectively. Therefore, one must be positive and the other negative for their sum to be zero.
The product of b and c is positive: As mentioned above, we know that b is positive and the product of a and c is negative. Since the sum of a, b, and c is zero, if b is positive and the product of a and c is negative, then the product of b and c must be positive to balance the equation.
The product of b and O is 0: This statement is always true because any number multiplied by zero is zero.
The product of a and b is positive: We cannot determine the signs of a and b individually based on the given information. As explained earlier, we only know that their sum is positive and the product of a and c is negative.
Therefore, the only statement that is guaranteed to be true based on the given information is that the product of b and c is positive. Here option B is correct.
What is the probability that in two rolls of a single die, a man will roll a 2 on the first roll and a number greater than five on the second?
(A) 1/3
(B) 1/6
(C) 1/12
(D) 1/18
(E) None of the above
I got; (E) None of the above. Because I got 1/36.
Is this correct?
Answer:
Step-by-step explanation:
I got A because the probability of rolling a 2 is 1/6 chance. Then the probability of getting a number greater than 5 is a 1/6 chance because there’s only one number bigger than five on a die. So I added them together got 2/6 and simplified down is 1/3
Answer:
That's right.
A 2 on the first roll means 1 possibility out of 6.
The only number greater than 5 in a dice is 6, therefore it's the same case from above.
1/6 on first roll
1/6 on second roll
[tex]\frac{1}{6} * \frac{1}{6} = \frac{1}{36}[/tex]
a triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle
The perimeter of the triangle is 15.4 units.
Step-by-step explanation:
The triangle has vertices at (-1,5), (4,2), and (0,0).
To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.
Let us consider the points as A (-1,5) and B (4,2) and C (0,0).
The distance formula is given by :
⇒ [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
Distance of AB :
A (-1,5) ⇒ (x1,y1)
B (4,2) ⇒ (x2,y2)
⇒ [tex]\sqrt{(4+1)^{2}+(2-5)^{2} }[/tex]
⇒ [tex]\sqrt{5^{2}+-3^{2} }[/tex]
⇒ [tex]\sqrt{25+9}[/tex]
⇒ [tex]\sqrt{34}[/tex]
⇒ 5.8
∴ The length of the side AB of the triangle is 5.8 units.
Distance of BC :
B (4,2) ⇒ (x1,y1)
C (0,0) ⇒ (x2,y2)
⇒ [tex]\sqrt{(0-4)^{2}+(0-2)^{2} }[/tex]
⇒ [tex]\sqrt{16+4 }[/tex]
⇒ [tex]\sqrt{20}[/tex]
⇒ 4.5
∴ The length of the side BC of the triangle is 4.5 units.
Distance of CA :
C (0,0) ⇒ (x1,y1)
A (-1,5) ⇒ (x2,y2)
⇒ [tex]\sqrt{(-1-0)^{2}+(5-0)^{2} }[/tex]
⇒ [tex]\sqrt{1+25}[/tex]
⇒ [tex]\sqrt{26}[/tex]
⇒ 5.1
∴ The length of the side CA of the triangle is 5.1 units.
Now, the perimeter of the triangle is given by :
Perimeter = Sum of the lengths of all three sides of the triangle.
⇒ 5.8 + 4.5 + 5.1
⇒ 15.4 units.
∴ The perimeter of the triangle is 15.4 units.
Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2
Answer:
[tex]U_n=5(-2)^{n-1}[/tex]
Step-by-step explanation:
Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:
[tex]U_n=ar^{n-1}[/tex]
If the eleventh term, [tex]a_{11}=5120[/tex]
and the common ratio, r=-2.
Then:
[tex]5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5[/tex]
The explicit formula for the sequence is:
[tex]U_n=5(-2)^{n-1}[/tex]
35% off $85.98. I'm having trouble with this.
Answer:
$55.89
Step-by-step explanation:
To figure out the discounted price, you multiply the original price (85.98) by the percentage, (35% = .35) Then subtract that number, (30.093) from the original price to find the discounted price.
Answer:
$24.56
Step-by-step explanation:
85.98 / 35 = 2.456
2.456 x 10 = 24.56
PLEASE HELP ASAP IT IMPORTANT THAT I GET THIS RIGHT PLEASE
Answer:
x=12, both angles are 144°
Step-by-step explanation:
Since the angles are Z-angles (lookup 'alternate exterior angles') they are the same.
This means that 10x+24 = 6x+72, which can be simplified to
10-6x = 72-24
4x = 48
x = 12
Substitute x=12 in either expression and you get 144.
if i multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. Find this number
Final answer:
By setting up and solving the equation 3x - 4 = 2x + 6, we find that the number in question is 10. This process involves aligning the equation to solve for the variable x, representing the number we seek.
Explanation:
If we multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. To find this number, we can set up an equation based on the given conditions.
Let's let the number be x. According to the first condition, multiplying x by 3 and then subtracting 4 can be represented as 3x - 4. According to the second condition, adding 6 to twice the number can be represented as 2x + 6.
The two expressions are equal, so our equation is 3x - 4 = 2x + 6.
Subtract 2x from both sides: x - 4 = 6.
Add 4 to both sides: x = 10.
Therefore, the number we are looking for is 10.
Which number is an integer?
-3/4
0
2.3
Square root
Answer:
0
Step-by-step explanation:
An integer is a whole number with no decimals. 0 is the only one.
Answer:the last answer is pi not square root
Step-by-step explanation:
Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent the range, lower quartile, and upper quartiles? range: 210.5 lower quartile: 200 upper quartile: 218 range: 14 lower quartile: 111 upper quartile: 198 range: 119 lower quartile: 218 upper quartile: 200 range: 119 lower quartile: 200 upper quartile: 218
The numbers that bes represent the range, lower quartile and upper quartiles is:
d. 200 range: 119 lower quartile: 200 upper quartile: 218.What are the range, lower quartile, and upper quartiles?Range:
Range = Maximum Value - Minimum Value
Range = 230 - 111
Range = 119
Lower Quartile (Q1):
Lower Half: 111, 198, 200, 204, 210
Median of Lower Half = (200 + 204) / 2 = 202
Upper Quartile (Q3):
Upper Half: 211, 216, 218, 224, 230
Median of Upper Half = (216 + 218) / 2 = 217.
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A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1
shirt is $18. If s represents the cost of 1 shirt, which equation could you use to find the
cost of 1 shirt?
Answer:
The equation, or more accurately, the system of equations we can use is:
x + y = 18
2x = y
Step-by-step explanation:
Consider that the cost of the shirt was x.
Consider the cost of the pants to be y.
Then, you can say that 2x = y since twice the cost of the shirt would give you the cost of the pants which are represented by y.
The next piece of information can be used to form the equation x + y = 18 since the cost of a pair of pants and a shirt are, in total, $18.
We can use a system of equations to answer this.
2x = y
x + y = 18
Since y = 2x, use substitution.
x + 2x = 18
3x = 18 (Divide both sides by 3)
x = 6
x represents the cost of the shirt and thus, the shirt costs $6.
The equation, or more accurately, the system of equations we can use is:
x + y = 18
2x = y
Answer:
2s+1s = 18
3s = 18
Since the question asks for the equation
Step-by-step explanation:
Let s = cost of 1 shirt
Pants cost twice the price of 1 shirt
p = 2s
We are buying 1 pair of pants and 1 shirt for 18 dollars
2s+1s = 18
Combining like terms
3s = 18
Either equation can be used to solve
We can divide by 3 to solve for the cost of 1 shirt
3s/3 = 18/3
s = 6
In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 6.4 feet. Find the measure of ∠F to the nearest degree.
this is super complicated
Answer:
69
Step-by-step explanation:
the inverse cosine of 2.3/6.4 is 69 degrees