Solution 1 :-
Statement : corresponding angles in similar triangles must be congruent .
Answer : True
Solution 2 :-
Statement : The hypotenuse of a right angle triangle has to be opposite of 90 degree .
Answer : True
Reason : We know that the side opposite to largest angle in a triangle is largest . Since in a right angle triangle 90 degree is the largest angle and hypotenuse is the longest side therefore they must be opposite to each other .
Reflect (1,‐4) across the x‐axis what is the reflected ordered pair?
Answer:
(1,4)
Step-by-step explanation:
(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)
Answer: (1,4)
Step-by-step explanation:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (1,-4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (1,4)
A painter charges $15.05 per hour, plus an additional amount for the supplies. If he made $171.00 on a job where he worked 6 hours, how much did the supplies cost?
15.05x6= 90.3
171.00-90.3=80.7
Philip wants to buy a new video game system that costs
$349.99 including tax. Philip has $125.50 saved. If
Philip mows grass for $15.00 per yard, what is the least
amount of yards he could cut to purchase the new video
game system?
Answer:
I think the answer I think the answer would be 14
a man 1.30 m tall is on a top of a building. he observed a car on the road at an angle of 60 degrees if the building is 30 m high,how far is the car from the building?
Given :
A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.
To Find :
How far is the car from the building.
Solution :
Let, distance between car and the building is x m.
So,
[tex]tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m[/tex]
Hence, this is the required solution.
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 56 meters of fencing available, determine the dimensions that would create the garden of maximum area. You may enter an exact answer or round your answer to the nearest hundredth.
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth
Answer:
The margin of error is of 0.01.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that [tex]\sigma = 0.21[/tex]
Sample of 450:
This means that [tex]n = 450[/tex]
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]
[tex]M = 0.01[/tex]
The margin of error is of 0.01.
Select the correct answer. What are the y-intercept and the slop of the line represented in the graph?
Answer:
B
Step-by-step explanation:
The line crossed the y axis at 4 and the slope is -2. you can do rise/ run to find the slope which is -2/1 or -2
Hurry which one
A.144
B.204
C.408
D.1200
Answer:
B) 204
Step-by-step explanation:
Rectangle 12 * 12 = 144
+
(2) Triangle A=h (b/2) = 12*(5/2) = 30 each
Help with volume all help is appreciated :)
Answer:
It would be 0.41 ft^3
Step-by-step explanation:
Alright, to start, lets get the volume of the entire cinder block and the holes within it.
1.31 * 0.66 * 0.66 ---> 0.5706...
Next with the holes, they are both 0.33 wide, 0.39 long, and just as tall at 0.66 feet.
0.33 * 0.39 * 0.66 ---> 0.0849...
Since there's two of them: 0.1698...
To finish it, subtract the hole volume from the total volume;
0.5806 - 0.1698 = 0.4108
Rounds to 0.41 ft^3
Devaughn is 15 years older than Sydney. The sum of their ages is 107. What is Sydney's age?
Answer:
The age of Sydney's is 46 and the age of Devaughn is 61
Step-by-step explanation:
Here;
Devaughn: 15yrs older that S..= 15+7= 22yrs old
sum of their age= 107
Now;
Sydney age= 107 - 100
7yrs old,,
Can somebody help me with this
Answer:
0.04997916927
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
arcsin(0.5) deg
= 30
Can someone help me with this pls
Answer:
252
Step-by-step explanation:
To answer the equation, you first need to note that it asks for surface area.
To find surface area, you use an input formula, known as SA=2lw+2lh+2hw. 'H' stands for height, 'L' stands for length, and 'W' stands for width.
Since the current height is 12, the current length is 6, and the width is 3, you need to plug them into the equation.
SA=2(6)(3)+2(6)(12)+2(12)(3)
SA=252
Quick tip! It's tempting to just multiply them all at once, but using the power of distribution is vital to solving these equations.
NEED HELP ASAP!!!!
3/4 + (1/3 ÷ 1/6) - (-1/2)=?
A:1/4
B:1 1/4
C:3/4
D:2 1/4
⚠️NO LINKS OR I WILL REPORT⚠️
Answer:
anser is 3.24 or 3 and 1/4
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
3/4+(1/3 ÷1/6)-(-1/2)=
3/4+(2)+1/2
3/4+5/2
3/4+10/4
13/4
3 1/4
Find the surface area of the figure below.
10 in
7 in.
4 in
Answer:
Surface Area = 2×(10×7 + 10×4 + 7×4) = 276 feet^2
Step-by-step explanation:
Hope this helps :)
equations equivalent to x/4+1/3=5/6
If anyone can help, it’d be appreciated! I’m so confused
en un rectnagulo de 17 cm de ancho y su diagonal mide 26 cm ¿cuanto mide el rectangulo de largo?
Answer:
[tex]x=19.67[/tex]cm
Step-by-step explanation:
Por Pitágoras,
[tex]x^{2} = 26^{2} - 17^{2} \\\\x^{2} = 676 - 289\\\\x^{2} =387\\\\x=\sqrt{387} \\\\x=19.67[/tex]
The graph below shows Ariana's pay as a painter. How much does Ariana charge per painting?
chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years
Answer: Rs 7600
Step-by-step explanation:
The interest will be calculated as:
= Principal × Rate × Time
= 40000 × 5% × 4
= 40000 × 0.05 × 4
= 8000
Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:
= 8000 - (5% × 8000)
= 8000 - (0.05 × 8000)
= 8000 - 400
= 7600
Therefore, he'll get Rs 7600
4(-8x + 5) = -32.x - 26
solve the equation
Answer:
-46
Step-by-step explanation:
4(-8x + 5) = -32x - 26
-32x + 20 = -32x - 26
-32x + 32x = -26 - 20
x = -46
Answer:
-32x+20=-32x-26
20=-26
so unequal or undefined
hope this helps
have a good day :)
Step-by-step explanation:
How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.
Answer:
Step-by-step explanation:
11.5 is greater than -12.5
Answer: -12.5 is greater
-
Step-by-step explanation:
Jenny bought gallons of lemonade and milk for a banquet. A gallon of lemonade costs $5, and a gallon of milk costs $3. Jenny spent $120 and bought 32 total gallons. How many gallons of milk did Jenny buy?
Answer:
She Bought 40 Gallons of Milk
Step-by-step explanation:
Please answer all correct for brainlest
Answer:
2. 2(7y-2)
3. -5-2x
4. 9+y
5. 5x-7
6. 3m+2
7. 8-9m
Step-by-step explanation:
collect like terms
Please help me with this question
9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
Given:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
Find:
x, y
Solution:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
__
Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
Plsss help no links or files pls will give brainlest
Answer:
4 or....
Step-by-step explanation:
I think its 4. maybe not
Find the area of the figure. with 4in 8in 2in 10in
Answer:
24 in total
Step-by-step explanation:
A 12 ft. ladder is leaning against a house. The ladder makes a 60° angle with the ground. Use special right triangles to find how far up the building the ladder will reach.
Given:
The length of the ladder = 12 ft
The angle of ladder with ground = 60 degrees
To find:
How far up the building the ladder will reach.
Solution:
Using the given information draw a figure as shown below.
We need to find the vertical distance between the top of ladder and the ground.
Let x be the required distance.
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the below triangle ABC,
[tex]\sin A=\dfrac{BC}{AC}[/tex]
[tex]\sin 60^\circ=\dfrac{x}{12}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{x}{12}[/tex]
Multiply both sides by 12.
[tex]\dfrac{\sqrt{3}}{2}\times 12=x[/tex]
[tex]6\sqrt{3}=x[/tex]
Therefore, the ladder will reach [tex]6\sqrt{3}[/tex] ft far up the building.
A line representing Car B would have a parallel slope if:
Answer:
you add an image
Step-by-step explanation:
Answer:
... if it had the same slope in the y=mx+b equation where m is the slope and x is just x and b is the y-intercept
Step-by-step explanation:
say Car A had the equation y=2x+3- Car B would also have to have be y=2x but the y intercept could be any value
What side has the same length as BC?
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
Find the missing angle measurement.
Answer:
54°
Step-by-step explanation:
54°
Answer:
the missing angle is 54
Step-by-step explanation:
so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so
180-123=57
57+69(other angle)=126
all triangle angles add up to 180 so subtract the two other angles to get your result
180-126=54
54 is your anwser