Hello,
let's assume a=the length and b the width.
[tex]\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\[/tex]
5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?
Hello,
Using Thalès 's theorem:
Let's h the height of the monument.
[tex]\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}[/tex]
If you don't know what is the Thalès's theorem,
imagine that the similar triangles.
x^4+64 will be the perfect square by adding
Answer:
[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]
+16x² or -16x² is the answerA man is 40 years old and his son is 5years old. In how many years will the father be 3 times the age of his son.
12 1/2 years
Step-by-step explanation:
Let the unknown be n. Then 40+n = 3(5+n).
Performing the multiplication:
40+n = 15+3n
Isolate n and combine the constant terms:
25=2n, so n= 25/2 years
A : B = 5 : 7 and B : C = 3 : 5 what is the ratio of A : B : C ?
Answer:
15:21:35 (I'm not sure, but this is my best guess)
Step-by-step explanation:
15:21 = A:B (plugging in 3 as a test)
21:35 = B:C
15:21:35 = A:B:C (can't simplify)
solve for:− 5 − 6 ≤ 8 − 8 − (show your work)
Answer:
hope it helps.
stay safe healthy and happy...If f(x) = 6x - 4. what is f(x) when x = 8?
Answer:
44
Step-by-step explanation:
* means multiply
put 8 where the x is
6 * 8 - 4
48 - 4
44
What is the slope of the line that contains the points in the table
Answer:
C. -5
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from table
Point (-1, 6)
Point (0, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract: [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify: [tex]\displaystyle m = -5[/tex]Someone tell me where everyone is going right please !!
Answer:
Everyone's action is correct except Luis
luis's equation is wrong because he flipped the inequality sign when he subtracted
true inequality ;
2.4b + 6.5 > -8.1
so Luis wrong
HAVE A NİCE DAY
Step-by-step explanation:
GOOD LUCK :D
greeetings from Turkey ツ
Answer:
(B) Luis's, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Let's evaluate each answer choice:
"Amelia's, because the variable term must be isolated on the left side"
This answer choice is wrong! Whichever side the variable term is isolated on DOESN'T affect the answer of the problem.
"Luis's, because he flipped the inequality sign when he subtracted"
This answer choice is right! Only flip the inequality sign when dividing a NEGATIVE number.
"Shauna's, because she did not apply the subtraction property of equality properly"
This answer choice is wrong! Shauna correctly applied the subtraction proper by subtracting 6.5 from both sides.
"Clarence's, because the terms he added together were not like terms"
This answer choice is wrong! Clarence added 8.1 to both sides, so he added 8.1 to 6.5, which are like terms.
Hope it helps (●'◡'●)
Can someone help me with this
Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
What is the scale factor from ABC to DEF?
Within similar triangles, the angles are the same. So, we need to look at the side lengths then.
72 to 12
66 to 11
42 to 7
In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.
The scale factor from ABC to DEF is 1/6.
Hope this helps!
A triangle has vertices on a coordinate grid at D(6,-1)D(6,−1), E(-4,-1)E(−4,−1), and F(-4,-6).F(−4,−6). What is the length, in units, of DE ?
Answer:
2units
Step-by-step explanation:
Given the coordinates D(6,−1), E(-4,-1), using the distance formula
DE = √(x2-x1)²+(y2-y1)²
DE = √(-1-(-1))²+(4-6)²
DE = √(-1+1)²+(-2)²
DE = √0+4
DE = √4
DE = 2units
Hence the length od DE in units is 2units
solve: − <− + 7( − 2)
(show your work)
Answer:
hope it helps.
stay safe healthy and happy...A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?
hint.. correct answer is 4096
Perimeter of a Garden
Answer:
Step 1: W = 7 - L
Step 2: Widths = 4, 3, 2, 1
Step-by-step explanation:
step1:
14 = 2L + 2W
14 - 2L = 2W
W = 7 - L
step2:
W = 7 - L
W = 7 - 3 = 4
W = 7 - 4 = 3
W = 7 - 5 = 2
W = 7 - 6 = 1
PLEASE HELP ASAP! Worth 15 points!!
Which graph represents a function with direct variation?
Answer:
The bottom right photo
Step-by-step explanation:
A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)
The volume of a cube is 8mm3.
What is the length of its side?
Answer:
the length of cube
is 2 mm
Answer:
2m
Step-by-step explanation:
A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height
Let the side of cube be x.
Then Volume of cube = x * x * x
So, length (side) of cube is 2m
2x²+10x+12 اريد مساعده
Answer:
2(x+2)(x+3)
Step-by-step explanation:
A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). Two cards are drawn from the deck and replaced each time back into the deck. What is the probability of drawing the King of Clubs and a heart from the deck of cards?
Answer: 13%
Step-by-step explanation:
For the function y=log(x-2)+1 which of the following statements is true? (see picture) (WILL GIVE BRAINLIEST)
Answer:
B.
Step-by-step explanation:
Find the value of x that will make A||B
Answer:
7
Step-by-step explanation:
Alternate interior angles must be congruent.
3x - 2 = 2x + 5
x = 7
Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.
Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.
• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes
Step-by-step explanation:
The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:
• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.
• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.
Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well
Therefore, the correct options are 2,3 and 4.
What is the value of x?
Enter your answer in the box.
someone help me please
Answer:
1, 3, 4
Step-by-step explanation:
Points N and K are on plane A and plane S
Point P is the intersection of the line n and line g
Points M, P, and Q are noncollinear
Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance of point C to point A
Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'
The total cost is $350 million.
The US Government is offering to pay $110 million.
A contractor is offering to reduce the total cost by 30%.
Tony has enough money to pay the remaining costs out of petty cash.
Answer:
I am a piano so yeah I'm just typing to fill the character requirement
Step-by-step explanation:
get got
What is the gradient of a line perpendicular to a line with a gradient of -6?
Answer:
1/6
Step-by-step explanation:
Gradient of a line perpendicular to a line with a gradient of m = -1/m
Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6
How to find the domain
15 POINTS AND BRAINLIEST!!!
Answer:
option C
Step-by-step explanation:
2, 4, 6
i don't know whether it is correct or not...
PLZ Find a ratio equivalent to 9/10. Then use the ratios to write a proportion.
a 70/63 9/10=70/63
b 19/70 9/10=19/70
c 19/20 9/10=19/20
d 63/70 9/10=63/70
Answer:
63/70 = 9 : 10
Step-by-step explanation:
Given ratio:
9/10
a 70/63
= 10/9
= 10 : 9
b 19/70
= 19:70
c 19/20
= 19 : 20
d 63/70
= 9/10
= 9 : 10
The equivalent ratio to 9/10 = 63/70
= 9 : 10
If x = 3 and y = 5, work out the value of
b) 2x2 + 3y2
Answer:
42
Step-by-step explanation:
2*3*2+3*5*2=12+30=42
Answer:
[tex]93[/tex]
Step-by-step explanation:
Given:
If [tex]x=3[/tex] & [tex]y=5[/tex], find [tex]2x^2+3y^2[/tex]
Solution:
Replace 3 with x and 4 with y:
[tex]2(3)^2+3(5)^2[/tex]
[tex]=2(9)+3(25)[/tex]
[tex]=18+75[/tex]
[tex]=93[/tex]
