Answer:
ABC≅DEF
x = 2
CB = 3
FE = 4
y = 5
ED = 6
FD = 7
AB = 8
AC = 9
In triangle ABC=
Side AC= 9 cm
Side CB= 3 cm
Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]
=13.5 cm^2
In triangle DEF=
Side FE= 4 cm
Side FD= 7 cm
Area= [tex]\frac{1}{2}[/tex]×[tex]b[/tex]×[tex]h[/tex]
=14 cm^2
Plzz help Solve for x x ÷3 3/10 =2 2/5
Answer:
[tex]\huge\boxed{x=7\dfrac{23}{25}}[/tex]
Step-by-step explanation:
[tex]x\div3\dfrac{3}{10}=2\dfrac{2}{5}\\\\\text{convert the mixed number to the impropper fraction}\\\\3\dfrac{3}{10}=\dfrac{3\cdot10+3}{10}=\dfrac{33}{10}\\\\2\dfrac{2}{5}=\dfrac{2\cdot5+2}{5}=\dfrac{12}{5}\\\\x\div\dfrac{33}{10}=\dfrac{12}{5}\\\\x\times\dfrac{10}{33}=\dfrac{12}{5}\qquad\text{multiply both sides by}\ \dfrac{33}{10}\\\\x\times\dfrac{10\!\!\!\!\!\diagup}{33\!\!\!\!\!\diagup}\times\dfrac{33\!\!\!\!\!\diagup}{10\!\!\!\!\!\diagup}=\dfrac{12}{5}\times\dfrac{33}{10}\\\\x=\dfrac{396}{50}[/tex]
[tex]x=\dfrac{198}{25}\\\\x=\dfrac{175+23}{25}\\\\x=\dfrac{175}{25}+\dfrac{23}{25}\\\\x=7\dfrac{23}{25}[/tex]
In the article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970's. To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were
Answer:
Option B.
Step-by-step explanation:
According to the question, the data provided is as follows
[tex]H_o : p_1 - p_2 = 0\ (p_1 = p_2)\\\\ H_\alpha : p_1 - p_2 < 0\ (p_1 < p_2)[/tex]
Based on the above information,
The type ii error is the error in which there is an acceptance of a non rejection with respect to the wrong null hypothesis. The type I error refers to the error in which there is a rejection of a correct null hypothesis and the type II refers that error in which it explains the failure of rejection with respect to null hypothesis that in real also it is wrong
So , the type II error is option B as we dont create any difference also the proportion is very less
Which of the following expressions is equal to -3x - 12?
A.(-3x-4i)(x-3i)
B.(-3x+6i)(x+2i)
C.(-3x-6i)(x+2i)
D(-3x+2i)(x-6i)
Please help me... having a hard time
Answer:
Graph (B)
Step-by-step explanation:
For x < 3,
An arrow starting with a hollow circle at x = 3 and heading towards 0 will represent the given inequality on a number line.
Similarly, x ≥ 5,
An arrow starting with a dark circle at x = 5 and heading towards 12 will represent the given inequality on a number line.
When we combine these inequalities on a number line, Graph (B) will be the answer.
0.719 rounded to the nearest hundredth
Answer:
0.72
Step-by-step explanation:
hope i helped
pls mark brainliest im trying to level up
Answer:
0.719 rounded to the nearest hundredth is 0.720
Step-by-step explanation:
9 is more than 5, so you round up, and the next hundredth is 2, so you get 0.720.
Hope this helps!!! Brainliest would be appreciated
Can someone please help me I really need help help me thank you
Answer:
A to C = 25 A to B = 13 C to B = 37Step-by-Step Explanation:
Perimeter = 75
Sides:
2x + 3
3x + 4
2x - 9
1. Equal the sides added together to the perimeter75 = 2x + 3 + 3x + 4 + 2x - 9
2. Simplify Like terms2x + 3 + 3x + 4 + 2x - 9 = 7x - 2
3. Place the equation back together75 = 7x - 2
4. Isolate the variables and numbers75 = 7x - 2
+2 +2
77 = 7x
5. Simplify the equation77 = 7x
/7 /7
11 = x 6. Substitute the value of x into the side lengths.2x + 3 = 2(11) + 3 = 22 + 3 = 25
3x + 4 = 3(11) + 4 = 33 + 4 = 37
2x - 9 = 2(11) - 9 = 22 - 9 = 13
WILL GIVE BRAINLEST ANSWER IF DONE IN 24 HRS Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 40° and 170°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answer: Resultant force = 114.96 pounds at angle 81.76°
Answer: magnitude = 114.96 lbs, direction = 88.21°
Step-by-step explanation:
Vector A: 150 lbs at 40°
Vector B: 100 lbs at 170°
Slide Vector B onto Vector A so you have a head to tail connection.
Calculate the angle between the vectors (50°).
Use Law of Cosines to find the magnitude of the resultant vector.
Use Law of Sines to find the direction of the resultant vector.
Law of Cosines: c² = a² + b² - 2ab cos θ
Given: a = 150, b = 100, C = 50°
c² = (100)² + (150)² - 2(100)(150) cos 50°
c = 114.96
Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}\\\\\text{Given: a=150, c=114.96, C=50}^o\\\\\\\dfrac{\sin A}{150}=\dfrac{\sin 50^o}{114.96}\\\\\\\sin A=\dfrac{150\sin 50^o}{114.96}\\\\\\A=\sin^{-1}\bigg(\dfrac{150\sin 50^o}{114.96}\bigg)\\\\\\A=88.21^o[/tex]
let (-3,-7) be a point on the terminal side of theta. find the exact values of sin theta, sec theta, and tan theta
Answer:
The exact values of sinθ = -7/√58.
The exact value of secθ = -√58/3 and
The exact value of tanθ = 7/3
Step-by-step explanation:
Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58
We know that sinθ = y/r.
So, sinθ = y/r = -7/√58
We know that secθ = 1/cosθ = 1/x/r = r/x
So, secθ = r/x = √58/-3 = -√58/3
We know that tanθ = y/x.
So, tanθ = y/x = -7/-3 = 7/3
So, the exact values of sinθ = -7/√58.
The exact value of secθ = -√58/3 and
The exact value of tanθ = 7/3
What is the complete factorization of the polynomial below?
x3 + 3x2-x-3
Step-by-step explanation:
[tex]( {x}^{2})(x + 3) - (x + 3)[/tex]
[tex](x + 3)( {x}^{2} - 1) [/tex]
[tex](x - 1)(x + 1)[/tex]
[tex](x - 1)(x + 1)(x + 3)[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
(x+1) (x-1) (x+3)
Step-by-step explanation:
. .....................
i need help with this equation 20 points help quick
Answer:
The equation of the graph after translating one unit to the left is;
[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]
Step-by-step explanation:
The given equation is [tex]y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3[/tex]
We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4
Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;
[tex]y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]
The equation of the graph becomes;
[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex].
Express $\frac{15 + 10i}{1 + 2i}$ in rectangular form.
[tex]\dfrac{15 + 10i}{1 + 2i}=\\\\\dfrac{(15 + 10i)(1-2i)}{(1 + 2i)(1-2i)}=\\\\\dfrac{15-30i+10i+20}{1+4}=\\\\\dfrac{35-20i}{5}=\\\\7-4i[/tex]
Answer:
7-4i
Step-by-step explanation:
Multiplying the numerator and denominator by $1-2i$ gives
\begin{align*}
\frac{15+10i}{1+2i} &= \frac{15+10i}{1+2i}\cdot\frac{1-2i}{1-2i}\\
&= \frac{(15+10i)(1-2i)}{1^2 + 2^2} \\
&= \frac{5(3 + 2i)(1 - 2i)}{5} \\
&= (3 + 2i)(1 - 2i) \\
&= 3 + 2i - 6i - 4i^2 \\
&= 3 + 2i - 6i + 4 \\
&= \boxed{7 - 4i}.
-1+(4+7)=(-1+4)+7 what property is this
Answer:
Associative Property.
Step-by-step explanation:
The Associative Property is the property that says that (a + b) + c = a + (b + c).
Hope this helps!
Answer:
Associate Property
Step-by-step explanation:
I found my answer at baba com
Identify the meaning of the variables in the point-slope form of a line.
Answer:
(x,y) = Any point on the line
m = the slope of the line
(x₁, y₁) = A given point on the line
Step-by-step explanation:
the equation of a straight line is;
y = mx + c
where;
x and y are any point on the line
m is the slope of the line
c is the intercept on the y axis
And a given point on (x,y) can be written as (x₁, y₁)
Therefore, for the case above;
(x,y) = Any point on the line
m = the slope of the line
(x₁, y₁) = A given point on the line
Help please!! Thanks!!!
Answer:
your answer is k
Step-by-step explanation:
not all the isosceles triangles are similar
Express the equation y= x² + 10x +30 in the form y= a(x - h)² +k
Answer:
[tex]\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }[/tex]
Step-by-step explanation:
Hello, please find my work below.
[tex]y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\[/tex]
a = 1
h = -5
k = 5
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
PLEASE help me with this question!!! I really need help...
Answer:
The last option
Step-by-step explanation:
The centroid is the point that is equidistant from all the vertices, not the incenter. Furthermore, the incenter is formed by finding the point of concurrency (intersection) of the angle bisectors.
Which of the following is equal to the fraction below?
(4/5)^6
Answer:
4096/15,625
Step-by-step explanation:
The reason is because the power is distributed individually within the fraction. Since the fraction is already fully simplified, 4096/15625 multiplied by itself is also simplified.
Thus the answer is 4096/15,625 = (4^6)/(5^6)
Determine the equation for a line perpendicular to y=1/3+4 and has an x-intercept of 2.
Answer:
y = -3x + 6
Step-by-step explanation:
Any line perpendicular to
y = (1/3)x + 4
has a slope of -1/(1/3) = -3
and equation
y = -3x + b .................(1)
If the line has an x intercept of 2 at (0,2), then
0 = -3(2) + b
solving
b = 6
By substituting b=6 into (1), the line required
y = -3x + 6
Answer:
y = -3x + 2
Step-by-step explanation:
y= [tex]\frac{1}{3}x +4[/tex]
Slope [tex]m_{1}=\frac{1}{3}[/tex]
slope of the perpendicular line [tex]m_{2}[/tex] = [tex]\frac{-1}{m_{1}}[/tex] = [tex]\frac{-1}{\frac{1}{3}}=-1*\frac{3}{1}=-3\\[/tex]
b= 2
Slope intercept form of required line: y = mx + b
y = -3x + 2
Please factorise the equations in the doc bellow ASAP. please show full working
Answer:
1) a+b(x)+a+(y)
b) a+b(x)-a-b(y)
2)p-q(r)-p-q(s)
b)r-2r(s)+r-2t(t)
Step-by-step explanation:
1) ax+bx+ay+by
a+b(x)+a+b(y)
b) ax+bx-ay-by
a+b(x)-a-b(y)
2) pr-ps+qr-qs
pr+qr-ps-qs
p+q(r)-p-q(s)
b) rs-2rs+rt-2t^2
r-2r(s)+r-2t(t)
Hope this helps ;) ❤❤❤
Answer:
Step-by-step explanation:
a)Use distributive property
ax + bx + ay + by = x(a + b) + y(a + b)
= (a + b) (x + y)
b) ax + bx - ay - by = x(a + b) - y (a +b)
= (a +b) (x - y)
2)
a) pr - ps + qr - qs = p (r - s) + q( r - s)
= (r -s )( p + q)
Help please asap!!
What are the units and degrees that u need to put in ?
Answer:
This question is unanwserable without the "Spider Tool" If you would like to revise it i'd be happy to help
Step-by-step explanation:
But the units are degrees
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A random sample of 1100 Americans results in 121 {0.11} indicating that they are afraid to fly. What is the probability that the sample proportion is more than 0.11
Answer: 0.1457
Step-by-step explanation:
Let p be the population proportion.
Given: The proportion of Americans who are afraid to fly is 0.10.
i.e. p= 0.10
Sample size : n= 1100
Sample proportion of Americans who are afraid to fly =[tex]\hat{p}=\dfrac{121}{1100}=0.11[/tex]
We assume that the population is normally distributed
Now, the probability that the sample proportion is more than 0.11:
[tex]P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}][/tex]
Hence, the probability that the sample proportion is more than 0.11 = 0.1457
Anyone, I need help... Just answer the 6 (c)....and also proper working.☺️
Answer:
(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²
(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²
Step-by-step explanation:
(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²
The graph of the function between the values of 0 and 6 inclusive is found as follows;
A, 3·p²
0, 0
1, 1
2, 12
3, 27
4, 48
5, 75
6, 108
Please find attached the graph of A to 3·p²
From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²
The area of the rabbit cage when the width is 5.2 m = 81.5 m²
(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;
The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width
The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p
Where the total length of the wire mesh available = 40 meters for the cage
The 40 meters of wire mesh will be used round the perimeter of the cage
∴ 40 m. = 8·p
p = 40/8 = 5 m.
At p = 5 m. the area is given as A = 75 m².
Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².
3) The Buendorf family has agreed to let their children get some animals. The kids said they
want chickens and goats, so the parents told them the number of chickens could be four
times that of the number of goats. They are allowed to have no more than 30 total animals.
What are the possible number of chickens and goats?
Answer:
The possible number of goats is 6 and the possible number of chicken is 24
Step-by-step explanation:
Let
chicken=c
Goat=g
the number of chickens could be four times the number of goats
c=4g
Total number of animals=30
c+g=30
Recall, c=4g
So,
c+g=30
4g+g=30
5g=30
Divide both sides by 5
5g/5=30/5
g=6
Recall,
c+g=30
c+6=30
c=30-6
=24
c=24
The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
second option
Step-by-step explanation:
The range is all of the y values. In this scenario, the y values are the number of sit-ups per minute. We can eliminate the first and third options because they're talking about x when we want y. Additionally, we can eliminate the last option because that is all of the x values, therefore, the answer is the second option.
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The range of a function is the set of all possible output values [tex]F(x)[/tex].
Options A and C are wrong because they talk about the input value x.
The output values are the number of sit-ups.
Option D talks about the ages (input).
A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diagram with gravel.
30 ft.
21 ft.
13 ft.
57 ft.
27 ft.
52 ft.
The area that Adam plans to cover with gravel is
weight of gravel on the roof will be
If the weight of the gravel is 12 pounds per square foot, the total
ling
2,702 square feet
Next
2,374 square feet
2,222 square feet
2,031 square feet
Answer:
[tex] Area = 2,031ft^2 [/tex]
Total weight of gravel on the roof = [tex] 24,372 pounds [/tex]
Step-by-step Explanation:
The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.
We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.
Area of rectangle = L*W
Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area to be covered with gravel = [tex] (30*17) + (13*9) + (52*27) [/tex]
[tex] Area = (30*17) + (13*9) + (52*27) = 2,031ft^2 [/tex]
Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = [tex] 12 * 2031 = 24,372 pounds [/tex]
Answer:
2031 and 16925
Step-by-step explanation:
The length of a rectangle is 6cm and its width is 4cm. Find the perimeter
Answer: 20cm
Step-by-step explanation:
The perimeter of a rectangle can be calculated as 2(l+w)
2(6+4)
2(10)
20
Hope it helps, and if you want more info on perimeter, just ask <3
Answer:
20 cm
Step-by-step explanation:
Use folmula P=2(l+w)
how do you find y=-4x+3 on a table
At 9:00 AM, a person running a race was 2 1/2 miles from the start. By 11:30 AM, he was 13 miles from the start. From 9:00 AM to 11:30 AM, at what rate was he running per hour?
Answer:
4.2 miles per/hour
Step-by-step explanation:
we know
speed total distance covered/ total time taken to cover that distance.
Time from 9:00 Am to 11:30 Am is 2 hours 30 minutes
time = 2 1/2 hours = 5/2 hours
for distance\
By 11:30 AM, he was 13 miles from the start.
so he covered a total distance of 12 miles
At 9:00 AM, a person running a race was 2 1/2 miles from the start
until 9 am he had already ran 2 1/2 miles = 5/2 miles
since we have to take distance travelled from 9 to 11 :30 Am
we need to subtract distance travel until 9 am from total distance traveled until 11:30 pm
Distance travlled from 9:11:30 am = distance traveled from start till 11:30AM - distance traveled from start till 9 AM
Distance traveled from 9:11:30 am = 13 - 5/2 = (26-5)/2 = 21/2
Thus, speed = 21/2 / 5/2 = 21/5 = 4 1/5 miles/hour = 4.2 miles/hour
Thus, he was running with 4.2 miles per/hour.
Un lote con forma cuadrada tiene una superficie de LaTeX: \sqrt{\frac{4225}{16}\:\:\:\:m^2}\:\:\:\:\:. Si el dueño del lote quiere colocar 3 hileras de alambres alrededor del terreno, ¿cuantos metros necesitará?
Answer:
The owner needs 195 meters of wire
Step-by-step explanation:
If the lot is squared shaped, then its area is given by the formula:
[tex]Area =x^2[/tex]
where x is the side of the square. Then considering the value they provide for the surface, each side must be of length:
[tex]x^2=\frac{4225}{16} \,m^2\\x=\sqrt{\frac{4225}{16}} \,\,m\\x=16.25\,\,m[/tex]
Then the perimeter around this square lot is four times that side length:
Perimeter = 4 (16.25 m) = 65 m
and since the owner wants three rows of wire, the total length of wire needed is:
3 (65 m) = 195 m
Can someone plz helpp
Answer:
n = 108
Step-by-step explanation:
Radius of the given circle = 9 in.
If this circle is dilated by a scale factor of 6, radius of the dilated circle will be
= 6 × 9
= 54 in.
Circumference of a circle is determined by the formula,
Circumference = 2πr
Where r = radius of the circle
By substituting the value of 'r' in the formula,
Circumference = 2π(54)
= 108π
By comparing it with circumference = nπ
Value of n = 108