9514 1404 393
Answer:
x = 78
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so the sum of angles is ...
x° +x° +24° = 180°
2x +24 = 180 . . . . . collect terms
x + 12 = 90 . . . . . . . divide by 2
x = 90 -12 . . . . . . . . subtract 12
x = 78
_____
Additional comment
The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.
CAN SOMEONE PLEASE HELP ME PLEASE
Answer:
4, 6/9 sry if wrong
Step-by-step explanation:
(-3p3 + 5p2 – 2p) + (-p3 - 8p2 – 15p)
Find the sum
Answer:
-3p3+ 5p2- 2p -p3 -8p2-15p
-3p3-p3+5p2-8p2-2p-15p
4p3-3p2-17p
What is the value of 7(4 + x) when x = 5?
Answer:
63
Step-by-step explanation:
7(4+x)
Distribute: 28 + 7x
Substitute: 28 + 7(5)
Simplify: 28 + 35
Simplify: 63
Pls help??????????????
Answer:
perpendicular
Step-by-step explanation:
L1: find the slope
rise: 2 - (-5) = 7
run: -1 - (-3) = 2
m1 = 7/2
L2:
rise: 2 - 4 = -2
run: 7 - 0 = 7
m2 = -2/7
parallel means same slope m1 = m2
perpendicular means opposite reciprocal (flip and change signs)
7/2 flip and change signs = -2/7, yes thus it is perpendicular
Due soon will give brainliest
Answer:
B can I please get Brainliest
Step-by-step explanation:
Answer:
c. 4 cm, 6 cm, 10 cm
Step-by-step explanation:
To represent a right triangle, you would need to use the Pythagorean theorem to find out which one makes up a right triangle and which one doesn't. 6^2 and 8^2 together make up 100 or 10^2 in which A isn't your choice. 12^2 and 35^2 together make up 1369 or 37^2 in which B also isn't your choice. 10^2 and 24^2 together make up 676 or 26^2 in which D isn't your choice as well. The final option C makes up 7.21 when square rooted in which it is not represented by the side lengths of a right triangle.
Please help!!:
Given PQ with P(−2, 5) and Q(6, 2), find point R on PQ such that PRRQ=35. Justify your response.
A. R(a, b) can be found using a=−2+35(8) and b=5+35(−3) to get R(2.8, 3.2)
B. R(a, b) can be found using a=6+35(−8) and b=2+35(3) to get R(1.2, 3.8).
C. R(a, b) can be found using a=6+35(8) and b=2+35(−3) to get R(10.8, 0.2).
D. R(a, b) can be found using a=−2−35(8) and b=5−35(−3) to get R(−6.8, 6.8).
Answer:
B
Step-by-step explanation:
I just took test
please make me Brainliest
I need help I will give brainiest
Answer:
teacher - apple = 2
grapes - students = 29
grapes - total = 33
oranges - teachers = 1
students - total = 75
teachers - total = 7
total - total = 82
The cat is 12 feet above the ground and the ladder is 9 feet away from the tree because of the mud. How long does the ladder needs to be to reach the tree
Answer:
15 feet
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).
To solve for the length of the ladder, use the Pythagorean Theorem.
[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]
Answer the following Question with Appropriate Explanation
Answer:
option is B)
Step-by-step explanation:
2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.
2x = 4
hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...
Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?
Answer:5.25
Step-by-step explanation:
It takes 91 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?
Answer:
[tex]0.109\ \text{acres per pound}[/tex]
Step-by-step explanation:
Given that,
It takes 91 pounds of seed to completely plant a 10-acre field.
We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.
[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]
So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].
3(4−7)=27
How do I solve this
Answer:
x = 4
Step-by-step explanation:
3(4x - 7) = 27
distribute the 3
(3 * 4x) + (3 * -7) = 27
12x + (3 * -7) = 27
12x - 21 = 27
add 21 to both sides of the equations
12x - 21 + 21 = 27 + 21
12x = 27 + 21
12x = 48
divide both sides by 12
12x/12 = 48/12
x = 48/12
x = 4/1
x = 4
Write an equation for the statement. Then, solve the equation:
The volume of a can varies jointly as the height of the can and the square of its radius. A can with an 8 inch
height and 4 inch radius has a volume of 402.12 inches cubed. What is the volume of a can that has a 2 inch
radius and a 10 inch height?
PLZZ help
Answer:
V = 125.6 in³
Step-by-step explanation:
let V be volume, h the height and r the radius, then the equation relating the quantities is
V = khr² ← k is the constant of variation
To find k use the condition V = 402.12, h = 8, r = 4
402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )
3.14 = k [ note 3.14 is π )
V = 3.14hr² ← equation of variation [ V = πr²h ]
Given r = 2 and h = 10, then
V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6
help will give Brainliest.
Does this expression use the distributive property?
(6x + 3) + (5x - 4)
no because you are not distributing numbers that multiply with each other and form new expressions
Answer:
hm I'm not sure but you solve it like this
Step-by-step explanation:
(6x + 3) + (5x - 4)
remove unnecessary parenthesis
6x+3+(5x-4)
collect like terms
11x+3-4
answer :
11x-1
I answered wrong what’s the right answer?
what is y-2=-3 (x-7) in standard form
A.y-2=--3x+21
B.y=-3x+23
C.3x+y-23=0
D.3x+y=23
9514 1404 393
Answer:
D. 3x +y = 23
Step-by-step explanation:
If you know what "standard form" is, then you recognize that only one offered answer choice is actually in standard form. That is the correct choice.
3x + y = 23
_____
Standard form for a linear equation is ...
ax +by = c
where a, b, c are mutually prime integers and a ≥ 0. If a = 0, then b > 0. (The leading coefficient is positive.)
There is a sales tax of S6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before ta
Answer:
$150
Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150
The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?
Answer:
A = 2167.73 cm²
Step-by-step explanation:
Given that,
A trailer ramp is in the shape of a triangular prism.
the height of the ramp, h = 14 inches
The volume of the ramp, V = 4704 inches²
We need to find the area of the base of the trailer ramp.
The volume of the triangular prism is given by :
[tex]V=A\times h[/tex]
A is area of base and h is height
[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]
or
A = 2167.73 cm²
So, the area of the base of the ramp is 2167.73 cm².
Please give me the correct answer
Answer: 3.75
Step-by-step explanation:
[tex]b = 5\\c=6.25\\a^{2} + b^{2} = c^{2} \\a^{2} +5^{2} = 6.25^{2} \\a^{2} + 25 = 39.0625\\a^{2} = 14.0625\\\sqrt{a^{2}} =\sqrt{14.0625} \\a = 3.75[/tex]
The missing side length is 3.75
please help. I don't understand this problem.
5x=15 y 2x=6
Son ecuaciones equivalentes?
PORFAVOR AYÚDENME ES EMERGENCIA
X =
95
(7x - 4)
(3x + 23)°
(9x – 6)
Answer:
661 is for the first 308 for second 849 for last
Step-by-step explanation:
Please helppppppp meeeee it’s easy :)
What is 4/9 + 1/9 (This problem is very easy because there are like denominators)
Answer:5/9
Step-by-step explanation:
4/9+1/9
add 1 to 4
5/9
one more than the product of 6 and a number v?
Plzzzzzz help me:(
And PLZZZ answer right
Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)
PLEASE IF I DON GET THIS RIGHT I WILL HAVE TO REDO MATH PLEASE HELP
Answer:
x= 8 and y= 8 square root of 2
Step-by-step explanation:
a cyclist rode 3.75 miles in 0.3 hours how fast was she going in miles per hour?
Answer:
12.5 miles per hour
Step-by-step explanation:
Math
Answer:
12.5 MPH
Step-by-step explanation:
Miles per hour can also be written as miles/hour
therefore 3.75 miles in .3 hours can also be written as 3.75 miles/.3 hours
3.75 / .3 = 12.5
Therefore the cyclist was going 12.5 miles per hour
8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M
a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)
Answer:SEE BELOW
Step-by-step explanation:
Average the X and Y coordinates (X,Y)
X = (-8 + 8)/2 = 0
Y = (-9 + 3)/2 = -3
(X,Y) = (0,-3)
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]
G ( -8 , -9 ) & H ( 8 , 3 )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Midpoint of the given points[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)
[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]
⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]
⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]
⟶ [tex] \tt{(0 \: ,- 3})[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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d
Evaluate
arcsin
(6)]
at x = 4.
dx
Answer:
[tex]\frac{1}{2\sqrt{5} }[/tex]
Step-by-step explanation:
Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y
sin(y) = [tex]\frac{x}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)
[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]
cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]
= [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]
= [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]
Therefore, from equation (1),
[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
At x = 4,
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]
[tex]=\frac{1}{\sqrt{20}}[/tex]
[tex]=\frac{1}{2\sqrt{5}}[/tex]
(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.
Plz answer
Answer:
He made a profit of 40-32 = Rs 8 per copy.
He got a 25% profit in the business of copies
Step-by-step explanation:
Newton buys and sells copies in his business. He bought 12 dozen = 12*12=144 copies in Rs 4320.
He also has Rs 288 in expenses to bring the copies to his shop, thus the total cost is 4320+288=4608.
Each copy finally cost 4608/144 = Rs 32.
He sold all copies for Rs 5760, at 5760/144= Rs 40 each.
Therefore, he made a profit of 40-32 = Rs 8 per copy.
The total profit in his business of copies was 5760 - 4608= 1152
This is a percentage of:
[tex]\frac{1152}{4608}*100 = 25\%[/tex]