Answer:
D. 73.6 ft^2
Step-by-step explanation:
Using trigonometry to get our answer: (we can use SAS to find the area)
A = 0.5 * side a (10ft) * side b (16ft) * sin(67)
A = 80 ft * sin(67)
A = 73.64 ft
verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7
Given:
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
To verify:
[tex]a(b-c)=ab-ac[/tex] for the given values.
Solution:
We have,
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
We need to verify [tex]a(b-c)=ab-ac[/tex].
Taking left hand side, we get
[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]
[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]
Taking LCM, we get
[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]
Taking right hand side, we get
[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]
[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]
[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]
Taking LCM, we get
[tex]ab-ac=\dfrac{-28-40}{35}[/tex]
[tex]ab-ac=\dfrac{-68}{35}[/tex]
Now,
[tex]LHS=RHS[/tex]
Hence proved.
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
A polynomial p is graphed. What could be the equation of p? Choose 1 answer:
A. p(x) = x( x + 2)(2x + 7)
B. p(x) = x(x - 2)(2x - 7)
C. p(x) = x(2x) (7/2x)
D. p(x) = x(-2x)(- 7/2x)
Answer:
[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]
Step-by-step explanation:
The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.
Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5)
Answer:
(7, - 5 )
Step-by-step explanation:
A is positioned at (7, - 5 )
What is the domain of the function y=sqrt x+6-7
Answer:
[tex]x \geqslant 1[/tex]
Step-by-step explanation:
[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]
guys, please help its graph-related. please i will dieeee
(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.
(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.
A is the point (-4, 2), and B is the point (2, -4). So the length of AB is
√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72
A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is
√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72
Then the dilation factor is
(2√72) / √72 = 2
As for dying, don't worry about it. It happens to everyone.
PLS HELP 10 POINTS!!!
Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2
Answer:
[tex] - 12xy {}^{2} [/tex]
Step-by-step explanation:
A coefficient is a rational number in front of multiple consecutive terms.
which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23
Answer:
[tex]18-\sqrt{-25}[/tex]
[tex]\sqrt{-25} =5i[/tex]
[tex]=18-5i[/tex]
OAmalOHopeO
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
? =30
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 25/50
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 ( 1/2)
? =30
Changing some of the values in a data set is called transforming the data.
A. True
B. False
Answer:
The answers is False
Step-by-step explanation:
What is the x-coordinate of the red point?
A. 3
B. 2
C. -2
D. -3
Help this is due in 10 mins
Answer:
Only A is true
for sure
....................
If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?
Answer:
Your answer would be 32/49.
Step-by-step explanation:
4/7 tons = 7/8 x
4/7 / 7/8
32/49
The tons of concrete are required to cover the entire bridge is 32/49 tons.
What are fractions?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.
How many tons is needed to cover the whole bridge?To determine this value, divide 4/7 by 7/8
4/7 ÷ 7/8
4/7 x 8/7 = 32/49 tons
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
what is the quotient in simpilst form? 4 1/2 ÷ 1 1/4
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]
In fraction division, Use KCF method
K - Keep the first fraction
C - Change the ÷ operation to * operation
F - Flip the second fraction
[tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]
How to solve this truth table ( p-->q) v q
p q
T T
T F
F T
F F
Without using a truth table:
(p ⇒ q) ∨ q ⇔ (¬p ∨ q) ∨ q ⇔ ¬p ∨ q ⇔ p ⇒ q
With a table:
p … q … p ⇒ q … (p ⇒ q) ∨ q
T … T … T … T
T … F … F … F
F … T … T … T
F … F … T … T
Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x
Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?
A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x
Given:
The amount of money in Joel’s account is:
[tex]j(x)=25+3x[/tex]
The amount of money in Kevin’s account is:
[tex]k(x)=15+2x[/tex]
To find:
The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.
Solution:
We need to find the difference between the function j(x) and function k(x).
[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]
[tex](j-k)(x)=25+3x-15-2x[/tex]
[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]
[tex](j-k)(x)=10+x[/tex]
Therefore, the correct option is D.
Please help I don’t understand how to solve this !
Answer:
x = 30
Step-by-step explanation:
x + 2x + 3x = 180
6x = 180
6 6
x = 30
Im not exactly understanding this question. Can someone please help me and possibly explain this to me?
Answer:
From the graph, when x=-6, y=1
so, your answer is A) f(x)=∛(x-6)+1
OAmalOHopeO
If the product of two numbers is 1800 and its H.C.F. Is 30, find the L.C.M.
Answer:
LCM = 60
Step-by-step explanation:
Product = HCF × LCM
1800 = 30 × LCM
LCM = 1800/30
∴ LCM = 60
IF B=
3 4 8
4 2 1
find b12, b21, b22 and b23
Answer:
since b is 348421 and we are looking for b21 it is 348421(12)
find the cost of four score of plate at 50k each and three dozens of spoon at 20k each
Hello again guys I need help with the highest common factor of 12x³yz⁵;16x⁴y³z²
Answer:
hello,
Step-by-step explanation:
a=12*x³yz⁵=4*3*x³yz⁵
b=16*x⁴y³z²=4*4*x⁴*y³*z²
hcf(a,b)=4*x³*y*z²=4x³yz²
A farmer needs to cross the river with his fox, his chicken and a bag of corn. However, the boat can only fit the farmer and one other thing at a time. The problem is, the fox and the chicken are both hungry, so if he leaves the fox and chicken together, the fox might eat the chicken. If he leaves the chicken and corn together, the chicken might eat the corn. So how can the farmer get everyone across the river safely
first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!
A chemist is conducting an experiment which involves a certain chemical reaction. He begins the experiment with 666 milliliters of the chemical, which is consumed by the reaction at a varying rate that is no more than 13 milliliters per minute. Partway through the experiment, the chemist measures the amount of chemical remaining. If there are 562 milliliters of the chemical left, what is the smallest number of minutes that could have passed?
Answer:
8 Minutes
Step-by-step explanation:
since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.
666-562 = 104
Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.
104 / 13 = 8
Question 3
Find FS If BS =16 .
Answer:
FS = 48
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so
FB = 2 BS = 2 × 16 = 32
Then
FS = FB + BS = 32 + 16 = 48
Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)
Step-by-step explanation:
w
(Question is in the image)
please I really need help
Answer:
c
Step-by-step explanation:
The period is 1 complete cycle of the wave, before repeating.
1 cycle is from - 6 to - 2 , then
period = 4 → c
Porfa es para un examen xD
Answer: -13
Step-by-step explanation:
M(3) → x = 3M(2) → x = 2[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]
Algebra 1 proportional relationships
Answer:
It always pass through the origin.(0,0)
find x, plzz helpp only have an hour to do this
Answer:
E. None of these
Step-by-step explanation:
Using the angle 43, we see that we will use Cos to find x.
This is because the sides are the adjacent and the hypotenuse
Cos (43) = 14/x
Multiply both sides by x
X (cos (43)) = 14
Then divide both sides by (cos(43))
x = 14 / cos(43)
Plug it into the calculator you get:
x = 25.22
Since this is not an answer choice, the answer is E. None of these