Answer:
73
Step-by-step explanation:
Answer:73
Step-by-step explanation:
Use the Distributive Property and mental math to find the product. 5 x 49 8 x 56
Answer:
The answer is 139,440Step-by-step explanation:
5x498x56=139,440
Two cables, with lengths of 40 feet and 35 feet, are tied from the top of a pole to stakes in
the ground. If the stakes are 30 feet apart, find the height of the pole.
Answer:
The height of the pole is 33.89 feet.
Step-by-step explanation:
Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.
So, we use the cosine rule to find this angle of elevation. So,
b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.
cosB = (a² + c² - b²)/2ac
cosB = (40² + 30² - 35²)/(2 × 40 × 30)
cosB = (1600 + 900 - 1225)/2400
cosB = 1275/2400
cosB = 0.53125
B = cos⁻¹(0.53125)
B = 57.9°
Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from
sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.
h = 40sinB
h = 40sin57.9°
h = 40 × 0.8472
h = 33.89 feet
So, the height of the pole is 33.89 feet.
which of the following is an equivalent form of the compound inequality -22>-5x-7>-3
Answer:
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
False
Or
Move all terms not containing the variable from the center section of the inequality.
No solution
Sorry, I couldn't fully understand your question but-
Hope This Helps!
PQRS is a parallelogram, m∠P=121∘ , and m∠S=(7x−4)∘ .
What is the value of x?
Answer:
Step-by-step explanation:
121+7x-4=180
7x-4=180-121=59
7x=59+4=63
x=63/7
x=9
It will be nice if you give me brainliest. Good luck!
Aline crosses the coordinates (-4,4) and (2.-5). What is the slope
of the line?
Answer:
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
[tex]m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}[/tex]
The slope of the line passing through the coordinates (-4, 4) and (2, -5) is - 3/2.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The slope of the line passing coordinates (-4, 4) and (2, -5) can be obtained as we know slope is rise over run which is slope(m) = (y₂ - y₁)/(x₂ - x₁) = (-5 - 4)/(2 + 4) = -9/6 = - 3/2.
learn more about lines and slopes here :
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Please help
...................
Answer:
It is the third one!
Step-by-step explanation:
find the distance between a(-3,1) and b(-5,5)
Answer: 6.4236
Step-by-step explanation:
How many yards is 38.7 cm? Write your answer in scientific notation with 3 sig figs.
Answer:
=0.423 yards (3 sig figs.)
Step-by-step explanation:
38.7÷91.44
=0.4232283
=0.423 yards (3 sig figs.)
In the garden, there were 15 red flowers, 5 blue flowers and 2 yellow flowers. What percent of the flowers were red?
Answer:
68.2
Hope this helps. :)
Answer:
I believe it would be 65?
Step-by-step explanation:
if if I divide 22 by 100 I will get 2.2.
And at 5 + 2 that means if you combine the blue flowers and yellow flowers you will get $7 in total.
And there's 15 red flowers 7 is kind 40 of 15 which is 100 because. 8+7=15 .
And for 15 to be completely split in half it would have to be 7.5.
But that's not how it works so if we put 8 & 7 into percents 8 would be 65 and 7 would be 35
7. Carlos is renovating a house and hires a plumber to install the piping for 4 points
the new bathroom. The plumber charges an initial fee plus an hourly rate
for the number of hours it will take to complete the installation. The
function y = 100 + 35x can be used to model the total cost of the job, in
dollars. What does the slope in the expression of this function represent? *
the initial fee for the installation, $35
the initial fee for the installation, $100
the cost per hour of installation work, $35
the number of hours to complete the installation, x
Answer:
the cost per hour of installation work, $35
Step-by-step explanation:
y = 35x + 100
the slope of a function is the coefficient of x, therefore, it is 35. $100 is the initial fee, since it ia the y intercept, and $35 is the cost per hour. y is the total amount, and x is the number of hours. Therefore, the only possible answer is the third choice,
Write a story that can be represented by the following equation: x + 16 = 42
Answer:
Amanda bought 42 apples and gave 16 away how many are left.
Step-by-step explanation:
X=26
Answer:
Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.
Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
The correct option is;
Corresponding angles theorem
Step-by-step explanation:
Type of lines of lines a and b = Horizontal and parallel lines
The transversal to a and b = Line c
The angles between a and c labelled clockwise from the upper left quarter segment = 1, 2, 4 and 3
The angles between b and c labelled clockwise from the upper left segment = 5, 6, 8 and 7
Therefore, we have;
Statement [tex]{}[/tex] Reason
1. a║b, c is a transversal [tex]{}[/tex] Given
2. ∠6 ≅ ∠2 [tex]{}[/tex] Corresponding angles theorem
3. m∠6 = m∠2 [tex]{}[/tex] Definition of congruent
4. ∠6 is supp. to ∠8 [tex]{}[/tex] Definition of linear pair
5. ∠2 is supp. to ∠8 [tex]{}[/tex] Congruent supplement theorem
Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.
Yesterday the temperature at noon was 25.9°F. By midnight, it had decreased by
26°F. What was the temperature at midnight?
Answer:
-.1 degrees
Step-by-step explanation:
Answer:
- 0.1 Fahrenheit
Step-by-step explanation:
Its just 25.9- 26
Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 8 84.5 676
Total 242 10389
Now, the mean of the frequency distribution is given by the following formula;
Mean =
= = 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -5x + 6
y = 3x – 2
X=
y =
Answer:
(1,1) X=1 Y=1
Step-by-step explanation:
x = 1
y = 1
adding characters for no reason lo
Barbara, Becky and Beth dressed up as princesses for
Halloween. One was Snow White. One was Sleeping
Beauty. One was Cinderella. Becky is not Sleeping
Beauty and she went trick-or-treating with Snow White.
Beth and Sleeping Beauty are sisters. Who is Snow
White?
Answer:
The answer is Beth.
Step-by-step explanation:
It states "Becky is not Sleeping Beauty and went trick-or-treating with Snow White" so we know that its not Becky. It also states "Beth and Sleeping Beauty are sisters" so we know that Beth is not Sleeping Beauty and we know that Becky is not Sleeping Beauty or Snow White. So it means that Barbara is Sleeping Beauty, Becky is Cinderella and Beth is Snow White.
PLEASE GIVE BRAINLIEST
(2x3 + x4 - 6x2 + 11x - 10) divided (x2 + 2 - x)
Answer:
I think x 2 +3x−5
Step-by-step explanation:
how many solutions does an inconsistent system of equations have?
Answer:
An inconsistent system doesn't have a solution.
Hello, Can you please help me with this problem? It's due at 9:00 pm (Please answer the whole thing if you can!) This is not for me it's for my little sister.
Update : I give you The picture
-\dfrac23p+\dfrac15-1+\dfrac56p−
3
2
p+
5
1
−1+
6
5
p
Answer:
p=3
Step-by-step explanation:
5 +5 =10 p÷3(4+6) =py
=p3
A township is a U.S. land measurement of about 36 square miles. About how many square miles are in 2 1/2 township
Answer: 90 sqm
Step-by-step explanation:
The township's land measurement is 36 square miles. If you want to know the measurement in 2 1/2 townships you need to multiply 2 1/2 times the square miles in a single township.
Step 1: Convert 2 1/2 to an improper fraction.
2 1/2 = 5/2
Step 2: Multiply
5/2 x 36/1 = 180/2 = 90 sqm
Use the rule y = -x + 7 to fill in the blank
if (1, y) is on the graph, then y =
Answer:Y=6
Step-by-step explanation:
Y=-x+7
For -x put 1 for the -x
So y=-1+7
Y=6
Please help! Will give 10 points and brainliest to first...only need 2,4,6,8
Answer:
Step-by-step explanation:
2: 1:4 scale factor
4: 4/5 = x/15. 5x=60. x is 12
6: it's a 2:7 ratio. so x would be 8 and y would be 35
8... it's a 4:7 ratio, as both 52 and 91 are divisible by 13 so there's the scale factor
4/7=x+3/2x-1. 7x+21=8x-4
Like terms on both sides
x=25
Rewrite in simplest terms: -(3c - 8) - 3c
Answer:
3c -8 -3f = Kc-
Step-by-step explanation:
Answer:
did da work :)
Step-by-step explanation:
The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The
function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many
days is the average number of cats and dogs at the shelter the same?
Answer:
27 days
Step-by-step explanation:
I put a picture of the graph for you.
Alicia resolvió 45 problemas de un total de 70 problemas asignados. Qué fracción (en términos más simples) de los problemas que ha completado?
Answer:
no habla espanol
Step-by-step explanation:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Lilianna uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. what does the variable d represent in the equation?
A) Calories per minute Lilianna uses walking
B)Number of calories Lilianna would have used sitting
C) Number of minutes Lilianna walked
PLEASE HELP
12POINTS
Answer:
C) Number of minutes Lilianna walked
Step-by-step explanation:
Suppose MN= 14 cm and m
Answer:
what exactly is the question bro or babe
Answer:
?
Step-by-step explanation:
help!!
Kathryn had $20 saved and saved $5 each week, w, after. Write an algebraic expression to represent the amount she has saved after a certain number of weeks.
Answer:
20 + 5w
Step-by-step explanation:
20 + 5w
Were 20 is the amount she already has, and 5w is 5 times the unkown amount of weeks (w).
Pls consider marking me as Brainliest! It would mean a lot!
Answer: 5w + 20
Step-by-step explanation:
Because if she earns 5 every week that’s 5w and if she already had 20 that’s +20. So it’s 5w + 20 or 20+5w
Simplify (I don't know how to write the question itself)
Answer:
16/9
Step-by-step explanation: