Answer:
[tex]\boxed {\boxed {\sf d= 13}}[/tex]
Step-by-step explanation:
Distance can be calculated using this formula:
[tex]d= \sqrt {(x_2-x_1)+(y_2-y_1)[/tex]
where (x₁, y₁) and (x₂, y₂) are the points. We are given the points (6, -9) and (1, 3). Therefore:
[tex]x_1= 6\\y_1= -9 \\x_2= 1\\y_2=3[/tex]
Substitute the values into the formula.
[tex]d= \sqrt {(1-6)^2+(3--9)^2[/tex]
Solve inside the parentheses.
1-6= -5 3--9= 3+9 = 12[tex]d= \sqrt{(-5)^2 + (12)^2[/tex]
Solve the exponents.
(-5)²= -5*-5 =25 (12)²= 12 *12= 144[tex]d= \sqrt { 25+144}[/tex]
Add and take the square root.
[tex]d=\sqrt{169} \\d= 13[/tex]
The distance is 13.
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 111
Step-by-step explanation:
x + x - 42 = 180 {Lines are parallel. So, they are supplementary}
2x - 42 = 180
Add 42 to both sides
2x - 42 + 42 = 180 + 42
2x = 222 {Divide both sides by 2}
x = 222/2
x = 111
100%
The distance between Boomtown and Dayville on a map is 13.0 cm. The scale of the map is 10 cm = 25 km
Approximately how far apart are Boomtown and Dayville?
Answer:
32.5
Step-by-step explanation:
We can set this problem up as a proportion:
[tex]\frac{10}{25} = \frac{13}{x}[/tex] In doing this, we find the exact distance from Boomtown to Dayville. Another way to do it is by dividing 25 by 10, to get 2.5, then multiplying 2.5 by 13 to get 32.5
PLease help
WILL GIVE BRAINLIEST
Answer:
41.472 m²
8.449m²
Step-by-step explanation:
c) scale facot is 7.2/5 = 1.44
the square scale factor is 1.44^2 = 2.0736
times 20 by this to get the area
2.0737x 20 = 41.472 m²
d) 2.8/6 = SF = 0.467
0.2178 x 38.8 = 8.449m²
In a bag, there are 15 tickets bearing the numbers 1 to 15. One ticket is drawn at
random from the bag. Find the probability that the ticket drawn bears a number
multiple of 3.
Answer:
1 in 5
Step-by-step explanation:
Multiples of 3 from 1 to 15:
3, 6, 9, 12, 15
Find the lowest multiple of 3.
Formula for probability:
Probability number is drawn/total
3/15
Convert it to simplest form.
1/5
I am not so sure about this, but I have seen people do this, hope I'm not wrong.
what is 6(-4k-2)??????????
Answer:
-24k - 12
Step-by-step explanation:
6(-4k - 2)
-24k - 12
Answer: 36k
Step-by-step explanation: 6(-4k-2) The u disrtube the 6 into ach number in teh perenteces making 6x-4= -24 and 6x2=12 whichs changes the problem to -24-12 which is equal to 36k. Hope this helps :)
2. Jeremy drinks 2 pints of milk every 3 days. How much milk would
Jeremy drink in 60 days? *
Answer: 40
Step-by-step explanation: 60/3= 20 20x3= 60 20x2=40
What is JL brainliest for answer
Answer:
JL = 12.5
Step-by-step explanation:
[tex] In\: \triangle JKL, KM\perp JL[/tex]
Therefore, by geometric mean property:
[tex] KM^2 = JM\times ML[/tex]
[tex] 6^2 = 8\times ML[/tex]
[tex] 36 = 8\times ML[/tex]
[tex] \frac{36}{8} = ML[/tex]
[tex]ML= 4.5 [/tex]
JL = JM +ML
JL = 8 + 4.5
JL = 12.5
What is the solution to this system of equations using elimination. -7x -8y =9 and -4x + 9y = -22
Answer:
x = 1
y = -2
Step-by-step explanation:
We have the system of equations:
-7*x - 8*y = 9
-4*x + 9*y = -22
To solve this type of system, we need to start by isolating one of the variables in one of the equations.
I will isolate the variable x in the first equation to get:
-7*x - 8*y = 9
-7*x = 9 + 8*y
x = (9 + 8*y)/(-7)
x = -(9 + 8*y)/7
Now we can replace this in the other equation to get:
-4*(-(9 + 8*y)/7) + 9*y = -22
And now we can solve this for y, we will get:
(4/7)*(9 + 8*y) + 9*y = -22
(4/7)*9 + y*(9 + 8*(4/7)) = -22
y*(63/7 + 32/7) = -22 - (36/7)
y*(95/7) = -(22*7/7) - (36/7)
y = (7/95)*(-(22*7/7) - (36/7)) = (-22*7 - 36)/95 = -2
y = - 2
Now we can replace this in the equation x = (9 + 8*y)/(-7) to find the value of x:
x = (9 +8*(-2))/(-7) = 1
Then the solution for the system is the pair (1, -2)
That means:
x = 1
y = -2
On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 3000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 2050 feet from the first tower, and 1420 feet from the second. Determine the angle, \thetaθ, between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)
========================================================
Explanation:
Refer to the diagram below.
If we focus on triangle ACD, then we can use the pythagorean theorem to say
d^2 + m^2 = 2050^2
d^2 = 2050^2 - m^2
Now if we focus on triangle DCB, we can also use the pythagorean theorem to say
d^2 + n^2 = 1420^2
2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2
n^2 - m^2 = 1420^2 - 2050^2
n^2 - m^2 = -2,186,100
--------------------------
In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m
We can then say
n^2 - m^2 = -2,186,100
(3000-m)^2 - m^2 = -2,186,100
m^2 - 6000m + 9,000,000 - m^2 = -2,186,100
-6000m + 9,000,000 = -2,186,100
-6000m = -2,186,100 - 9,000,000
-6000m = -11,186,100
m = (-11,186,100)/(-6000)
m = 1864.35
--------------------------
We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)
We'll focus entirely on triangle ACD
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(theta) = m/2050
cos(theta) = 1864.35/2050
cos(theta) = 0.90943902439024 which is approximate
theta = arccos(0.90943902439024)
theta = 24.572056388088
theta = 24.6 degrees
Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5
an equation to a line with the slope of -3/2 and an x intercept of (4,0)
Answer:
y=-3/2x+6
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
7 gal = c
PLZZZZZZZ
Circumference
What is the circumstances
Please help me and thnx u if u help me on this
Answer:
35.19
Step-by-step explanation:
equation is : C=2πr
[tex] \Large \underline{\tt Given} :[/tex]
Diameter of circle, d = 5.6 cm[tex] \\ [/tex]
[tex] \Large \underline{\tt To \: Find} :[/tex]
Circumference = ?[tex] \\ [/tex]
[tex] \Large \underline{\tt Solution} :[/tex]
As, we have diameter of circle is 5.6 cm and radius is half of diameter.
[tex] \tt : \implies Radius, r = \dfrac{d}{2}[/tex]
[tex] \tt : \implies Radius, r = \dfrac{5.6 \: cm}{2}[/tex]
[tex] \tt : \implies Radius, r = \dfrac{\cancel{56} \: cm}{10\times \cancel{2}}[/tex]
[tex] \tt : \implies Radius, r = \dfrac{28 \: cm}{10}[/tex]
[tex] \tt : \implies Radius, r = 2.8 \: cm[/tex]
[tex] \\ [/tex]
Now, for Circumference :
[tex] \Large \underline{\boxed{\bf{Circumference = 2\pi r}}}[/tex]
[tex] \tt : \implies Circumference = 2 \times \dfrac{22}{7} \times 2.8 \: cm[/tex]
[tex] \tt : \implies Circumference = \dfrac{44}{\cancel{7}} \times \dfrac{\cancel{28}}{10} \: cm[/tex]
[tex] \tt : \implies Circumference = 44 \times \dfrac{4}{10} \: cm[/tex]
[tex] \tt : \implies Circumference = \dfrac{176}{10}\: cm[/tex]
[tex] \tt : \implies Circumference = 17.6\: cm[/tex]
[tex] \\ [/tex]
Hence, circumference is 17.6 cm.
Los ángulos a y b son complementarios sabiendo q a es =60 grados indique cuanto mide el ángulo b
Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.
Answer:
A
Step-by-step explanation:
∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.
Let's find out:
DE/AB = 10/5 = 2
EF/BC = 8/4 = 2
FD/CA = 12/6 = 2
The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.
PLZ HELP I HAVE NO CLUE WHAT TO DO
Answer:
142 cm^2
Step-by-step explanation:
2(L*H)+2(L*W)+2(W*H)=SA
7*3=21
21*2=42
7*5=35
35*2=70
5*3=15*2=30
30+70+42=142
x(x+7)=4x+10
then needs to get the normal form of the equation
x= ?, x=?
Answer:
x = - 5, x = 2
Step-by-step explanation:
Given
x(x + 7) = 4x + 10 ← distribute left side
x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
A recipe
needs 250g of butter to make 4 small
cakes. Olav wants to make 10 cakes. He has
1 kg of butter. How much butter will be have
10 cakes ? how much butter will be have
left over after he has made 10 cakes?
Answer:
375g
Step-by-step explanation:
250g = 4
X = 10
Cross Multiply
2500=4x
Divide both sides by x
x=625
1000-625
375g left
The sides of a right triangle form an arithmetic sequence with the difference d. Find the area of an inscribed circle in terms of d.
Answer:
The sides of a right triangle form an arithmetic sequence with the difference is described below in detail.
Step-by-step explanation:
Let's denominate the first term aa and the obvious difference dd. Therefore, your course enhances:
a, a+d, a+2da, a+d, a+2d
Now, these three terms form the sides of a right triangle. Since a+2da+2d is the highest (considering d > 0), we can state that it is the hypothenuse.
applying the Pythagorean Theorem:
a2+(a+d)2=(a+2d)2a2+(a+d)2=(a+2d)2
a2+a2+2ad+d2=a2+4ad+4d2a2+a2+2ad+d2=a2+4ad+4d2
3d2−a2+2ad=03d2−a2+2ad=0
(3d−a)(d+a)=0(3d−a)(d+a)=0
Therefore, your solutions are
3d=a3d=a
andd=−ad=−a
So if a = 3, d = 1. Therfore, one potential sequence is 3, 4, 5.
Similarly, if a = 6, then d = 2, so another potential sequence is 6, 8, and 10
4. JKLM is a parallelogram. Find JM.
J
к
8x + 4
4x + 20
M
L
Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20
8x - 4x = 20 - 4
4x = 16 divide both sides by 4
x = 4 and JM = 8x + 4 replace x with 4
8×4 + 4 = 36
Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20 ( being opposite sides of parallelogram)
8x - 4x = 20 - 4
4x = 16
x = 16 / 4
x = 4
JM = 8x + 4
=8 * 4 + 4
= 32 + 4
= 36
Hope it will help :)
Laura's new car cost her $21,000. She was told that this make and model depreciates
exponentially at a rate of 8 5/8% per year. How much will her car be worth after 100
months?
Answer: 9,903.32
Step-by-step explanation: 1. y= 21000(1-0.08625)^x
2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12
The value of Laura's car will be $9,903.32 after 100 months.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order.
1. y= 21000(1-0.08625)^x
2. y=21,000(1-0.08625) 100/12 = 9,903.32 replace x with 100/12
Learn more about the Percentage here:
https://brainly.com/question/24877689
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A jar contains 4 red marbles, 8 blue marbles, and 2 green fond the probabillity of picking a red marbles, replacing the item, and then picking a blue marble?
Answer:
8/49
Step-by-step explanation:
Given data
Sample space
4 red marbles
8 blue marbles
2 green
Sample size
4+8+2 = 14
Pr(picking a red)
Pr(red)= 4/14= 2/7
With replacement
Pr(picking a blue)
Pr(blue)= 8/14= 4/7
Hence the probability of picking a red marble, replacing the item, and then picking a blue marble
= 2/7*4/7
= 8/49
At the West Street Bakery, 1/6 of the dessert case holds pies. There are 4 equal size shelves.
Which fraction of the West Street Bakery’s dessert case is taken up by 1 pie shelf?
1/4
2/3
1/24
5/6
Answer:
1/4 or 1/24
Step-by-step explanation: I am not sure but try and if you get it rong I am sorry
Answer:
Im thinking the answer is 1/24.
Step-by-step explanation:
1/6 divided by 4
6 x 4 = 24
4 x 6 = 24
if you put a fraction first, the answer will be a fraction.
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.What is the value of –112.84 – 54.14 – (–29.18)?
Using the picture above, find the value ofr. Round to the nearest tenth plssssi need helpppppp
Answer:
11.4
Step-by-step explanation:
Since this triangle is a right triangle, we can solve using SOHCAHTOA.
Our angle is 25 degrees and the given hypotenuse length is 27. So, the best trigonometry equation to use would be sine, since it includes the hypotenuse and the opposite side, which is the r length that we are looking for.
Through SOHCAHTOA, sin 25° = [tex]\frac{opp}{hyp}[/tex]
sin 25° = [tex]\frac{r}{27}[/tex]
r = 27 (sin 25°)
Using a calculator, 27 (sin 25°) ≈ 11.4
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
Help me, witch are the true!!!?
Answer:
A is the answer hope this helps
1 slope y-intercept equation o 6 5 4 3 2 2 3 5 j-intercept
Answer:
Step-by-step explanation:
(-1,1) and (0,-2) are points on the line
slope of line = (-2-1)/(0-(-1)) = -3
y-intercept = -2
y = -3x - 2
M_ABD = 90°. Find m2ABC.
A
(3x – 3)
(x-7)°
B
D
Answer:
positive and negative or c1
. Which combinations hold the same amount of liquid as a 14-cup jug? A. 2-quart bottles and 4-pint bottles B. 3-quart bottles and 2-cups C. 1-quart bottle and 6-pint bottles and 2-cups D. 1-quart bottle and 10-cups E. 2-quart bottles and 2-pint bottles and 2-cups
Answer:
B, D, and E
Step-by-step explanation:
8 oz = 1 cup
1 qt = 32 oz
1 pint = 16 oz
14 cups = 8 x 14 = 112 oz
A) 64 + 64 = 128 no
B) 96 + 16 = 112 yes
C) 32 + 96 + 16 = 144 no
D) 32 + 80 = 112 yes
E) 64 + 32 + 16 = 112 yes
Easy 30 points!!!! Find the measurement indicated in each parallelogram.