Answer:
x = 52
m<ACD = 159
m<ACB = 21
Step-by-step explanation:
1) Set up an equation.
2x + 55 = 3x + 3 (the two interior angles on the opposite of the triangle and the exterior angle are equal to the exterior angle)
2) Solve for x.
2x + 55 = 3x + 3
-x + 55 = 3
-x = -52
x = 52
3) Substitute 'x' into each angle required to find m<ACD and m<ACB.
m<ACD = 3(52) + 3
= 156 + 3
= 159
CHECK:
2(52) + 55 = 159
104 + 55 = 159
159 = 159
m<ACB + m<ACD = 180
m<ACB + 159 = 180
m<ACB = 21
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
PLEASEEEE I WWILLL GIVE BRAINLEIST 6b. In Renton the sales tax is 9%. What is the total cost including tax on a $20 purchase?
Noah was assigned to make 64 cookies for the bake sale. He made 25% MORE than that. How many cookies did Noah make? Explain how you got your answer.
PLEASE HELP MEH! WILL MARK BRAINLIEST!! DUE TODAY
Answer:
8 cookies were left after the bake sale. 72 were sold.
Step-by-step explanation:
64*1.25= 80
80*.9= 72
8
125% of 64 is equal to 80.
90% of 80 is equal to 72.
The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8
10% × 125% × 64 = 0.125 × 64 = 8
thats all i could really come up with at the top of my head
I attached the files
Answer:
What do u need the help for?
Step-by-step explanation:
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately .
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
The x-value at which the two functions’ values are equal is .
Answer:
The x-value at which the two functions' values are equal is 5.
Step-by-step explanation:
Let [tex]f(x) = 3[/tex] and [tex]g(x) = x-2[/tex], if [tex]f(x) = g(x)[/tex], then:
[tex]x - 2 = 3[/tex]
[tex]x = 3+2[/tex]
[tex]x = 5[/tex]
The x-value at which the two functions' values are equal is 5.
solve the question below 33
Answer:
The value of x(perpendicular) is 17.80
Step-by-step explanation:
Given triangle is a right angled triangle as one of the angles is 90°
Also according to the reference angle 54°,
Hypotenuse = H = 22
Perpendicular = P = x
We can use the trigonometric ratio of sine as it involves both known value perpendicular and hypotenuse.
So,
[tex]sin\ 54 = \frac{P}{H}\\sin\ 54 = \frac{x}{22}\\0.8090 = \frac{x}{22}\\x = 0.8090*22\\x = 17.798[/tex]
Rounding off to nearest hundredth
x = 17.80
Hence,
The value of x(perpendicular) is 17.80
solve the inequality
Answer:
x>-1
Step-by-step explanation:
Subtract 0.7 from both sides
At HEB 8 bags of chips costs $24. At this rate, how much would 3 bags cost
Answer: $9.00
Step-by-step explanation:
An osprey flying horizontally 100 feet above a lake spots a fish below. It tilts its flight path downward by 45°. If the osprey is diving at 45 mph, at what rate is its altitude changing (rounded to the nearest foot per second)?
Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
Why do you think most people who have lived
on our planet would have been suspicious of negative
numbers?
Answer:
I do not know
Step-by-step explanation:
I guess because negative represents going down :/
Use the rules of transformations to compare the graphs of the functions, f(x) =1/x
and g(x) =5/x-1
following options represents the asymptotes of the functions, f(x) and g(x) Select all that apply.
y= -1
y=0
x=-1
y=1
X= 2
Answer:
first and second
Step-by-step explanation:
asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)
asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0
you can graph it on desmos
PLEASE ANSWER GIVING 30 POINTS
Answer:
this is only 15points but ok
Step-by-step explanation:
answer: D)
Answer:
The answer should be 15.
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex] as the product of square roots. [tex]\sqrt{5^{2} }[/tex] [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].
[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.
[tex]\sqrt[15]{5}[/tex]
Mia is making pickles. She uses 3/4 cup of salt when she has 9 pounds of cucumbers. How much salt will Mia use when she has 3 pounds of cucumbers?
Answer:
1/4 cup of salt. .........
please help ASAP pleassssseeeee
Answer:
4 miles.
Step-by-step explanation:
We know that Molly travels 20 miles in 5 hours, so we can divide by 5 to find out how many miles she travels in 1.
20/5 = 4/1
Therefore, Molly travels 4 miles per hour.
Answer: 4 miles in one hour
Step-by-step explanation:
If molly goes 20 miles in 5 hours divide 20 miles by 5 hours and you get 4 miles in 1 hour
write a polynomial in factored form with solutions of
Answer:
The factored form of a polynomial means it is written as a product of its factors. The factors are also polynomials, usually of lower degree.
-5/12 - (-9/3)=
Help me please
Answer:
HOW T.F DO YOU NOT
Step-by-step explanation:
-5/12+3
2 7/12
UST CAUSE
Answer: -5/4
Step-by-step explanation:
Write the slope intercept form of the equation of the line that passes through the points (6,1) and (12,2)
Answer:
y=1/6x
Step-by-step explanation:
You are flying your dragon kite. It's connected to 40yd of string. The kite is directly above the edge of a pond. The edge of the pond is 36yd from where the kite is tied to the ground. How high is the kite above the edge of the pond?
We have a right triangle with hypotenuse 38 and leg 34.
We want to find the other leg.
We use the Pythagorean Theorem:
if there are 45 seats in 9 rows how many seats are in 1 row.
Answer: Their is 5 seats in 1 row.
Step-by-step explanation: 9x5=45 and 45÷9=5
PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
25 units should be right
Step-by-step explanation:
prove me wrong
One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
the answer is 9
Step-by-step explanation:
20 to the power of 3 divided by 2
Answer:
4000
Step-by-step explanation:
20 to the power of 3 is 8000 and 8000/2 is 4000
Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?
Answer:
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Step-by-step explanation:
Given that:
Distance walked from school to Bocas house = 1/4 miles
Distance walked from Paul's house to the park = 4/6 miles
Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]
Total distance walked = [tex]\frac{3+8}{12}[/tex]
Total distance walked = [tex]\frac{11}{12}[/tex] miles
Hence,
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}
B.
explanation:
whhdhdhdhehehgaahakkabdvdvhabs
write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Given:
The endpoints of a diameter are (0,0) and (4,-6).
To find:
The equation of the circle.
Solution:
The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(-6-0)^2+(4-0)^2}[/tex]
[tex]d=\sqrt{36+16}[/tex]
[tex]d=\sqrt{52}[/tex]
[tex]d=2\sqrt{13}[/tex]
Now, radius is half of the diameter.
[tex]r=\dfrac{2\sqrt{13}}{2}[/tex]
[tex]r=\sqrt{13}[/tex]
Center of the circle is the midpoint of the endpoints of a diameter.
[tex]Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)[/tex]
[tex]Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)[/tex]
[tex]Center=\left(2,-3\right)[/tex]
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is radius.
The center of the circle is (2,-3) and radius is [tex]\sqrt{13}[/tex]. So,
[tex](x-2)^2+(y-(-3))^2=(\sqrt{13})^2[/tex]
[tex](x-2)^2+(y+3)^2=13[/tex]
Therefore, the standard form of the circle is [tex](x-2)^2+(y+3)^2=13[/tex].
Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
Need help if u do I will put brainliest
A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Hope this helps :)
{Whole numbers up to 50 divisible by 5}
Answer:
5,10,15,20,25,30,35,40,45,50
Step-by-step explanation:
Answer:
150
Step-by-step explanationtion
jk i just want my points
Please help me. Thank you...
9514 1404 393
Answer:
V = (x)(10-2x)² . . . . factored form
V = 4x³ -40x² +100x . . . . standard form
Step-by-step explanation:
A square with corners cut out has no volume. It is a plane figure.
__
We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...
V = LWH = (10-2x)(10-2x)(x)
V = x(10 -2x)²
_____
The graph shows the volume is a maximum when x = 1 2/3 cm.