Answer:
The first angle is [tex]70^{o}[/tex].
Step-by-step explanation:
Let the measure of the second angle be represented by [tex]x^{o}[/tex].
Thus, the first angle = [tex](3x+10)^{o}[/tex]
Third angle = [tex]90^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]
divide both sides by 4 to have;
[tex]x^{o}[/tex] = [tex]20^{o}[/tex]
The first angle = [tex](3x+10)^{o}[/tex]
= ( 3 x 20 + 10)
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the first angle is [tex]70^{o}[/tex].
-8 (x - 3) = -32
Your answer
How do I do constructions
Answer:
it depends
Step-by-step explanation:
The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).
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Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.
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To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...
keep the pointed end in the same spot,keep the width of the compass the same until your circle is complete.To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).
All other constructions use combinations of these skills.
A right triangle has one angle that measures 5°. What is the measure of the other acute angle?
Answer:
85
Step-by-step explanation:
There are three angles in a triangle
Since it is a right triangle one angle is 90 degrees
We are given one angle is 5 degrees
Let the third angle be x
The sum of the angles of a triangle is 180
x+5+90 =180
Combine like terms
x+95 = 180
Subtract 95 from each side
X+95-95 = 180-95
x = 85
A hose fills a hot tub at a rate of 3.01 gallons per minute. How many hours will it take to fill a 334 gallon hot tub?
Answer: I dont have the full answer, but this is what i could figure out.
Step-by-step explanation:
3.01 gallon per minute
60 minutes in an hour
3.01 times 60= 180.6
180.6 times 1.85= 334.11
I do not know what to do after this, I wish I could help more, but I hope someone or yourself can figure out the rest. Good luck!
Can someone help me with this I will make you brainliset
Answer:
I believe the answer is statements 1, 4, and 6.
Step-by-step explanation:
Answer:
1.4 and 1.7
Step-by-step explanation:
Joey Page earns $5.75 per hour at his part-time job. Last week he worked 25 hours. What was his gross
pay for the week
Answer:
143.75
Step-by-step explanation:
idk man use google or something
write 24.23 as a mixed number in simplest form
Answer:
24 23/100
Step-by-step explanation:
If f(x)=3x+19 find f (-3a-2)
Answer: f(-3a-2)=-9a+13
Step-by-step explanation:
To find f(-3a-2), we plug in -3a-2 into f(x).
f(-3a-2)=3(-3a-2)+19 [distribute]
f(-3a-2)=-9a-6+19 [combine like terms]
f(-3a-2)=-9a+13
Now, we know that f(-3a-2)=-9a+13.
Use logarithmic differentiation to find dy/dx. y = (x + 1)(x − 4)/ (x − 1)(x + 4) , x > 4 dy dx =
Answer:
dy/dx = (x + 1)(x-4)/(x-1)(x+4)[1/(x+1) + 1/(x-4) -1/(x-1) -1/(x+4)
Step-by-step explanation:
Here, we want to find the derivative using logarithmic differentiation.
What we will do here is to first take the natural logarithm of both sides, then we proceed to differentiate afterwards.
Please check attachment for complete solution and step by step explanation.
On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?
Answer:
20r-23p
Step-by-step explanation:
Bob the builder wants to earn an annual rate of 10% on his investment how much should he pay for s note that will be worth 3,000 in 9 months
Answer:
2786 is the answer for the question
solve the equation
what does x equal to
46+x÷6−21=25+6
Answer:
×=36
Step-by-step explanation:
46+1/6X-21=31
25+1/6X=31
1/6X=31-25
1/6X=6
X=36
How do you do this question?
Answer:
1) ∫₀¹ 2π x (x − x²) dx
4) ∫₀¹ π ((√y)² − y²) dy
Step-by-step explanation:
The solid formed is a hollow, upside down cone. We can either use washer method or shell method to find the volume.
If we use washer method, the thickness of the washers is dy. The outside radius is R = x₂ = √y, and the inside radius is r = x₁ = y.
Therefore, the volume of each washer is:
dV = π (R² − r²) t
dV = π ((√y)² − y²) dy
The total volume is the sum of all washers from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ π ((√y)² − y²) dy
If we use shell method, the thickness of each shell is dx. The radius of each shell is r = x. The height of each shell is h = y₂ − y₁ = x − x².
Therefore, the volume of each shell is:
dV = 2π r h t
dV = 2π x (x − x²) dx
The total volume is the sum of all shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π x (x − x²) dx
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?
Answer:
The answer to your question is 192 pretzels
Step-by-step explanation:
Data
number of pieces = 8
length of each piece = 2 ft
length of each pretzel = 1 in
number of pretzels = x
Process
1.- Convert ft to in
1 ft --------------- 12 in
2 ft --------------- x
x = (2 x 12) / 1
x = 24 ft
2.- Divide the length of each piece by the length of each pretzel
24/1 = 24 pretzels per piece
3.- Multiply the number of pretzels per the number of pieces
24 x 8 = 192 pretzels
5
Quita bought a jacket priced at $88. The sales tax rate on the jacket was 7.5%.
How much was the sales tax in dollars and cents on this jacket?
Answer these questions please please
Answer:
Step-by-step
i) a² - 2ab + b² = (a + b)²
a² = p² ; a = p
b² = 16 = 4² ; b = 4
2ab = 2*p*4 = 8p
p² - 8p + 16 = (p - 4)²
ii) a² + 2ab + b² = (a +b)²
a² = 121x² = (11x)² ; b² = 4y² = (2y)²
2ab = 2 * 11x * 2y = 44xy
121x² + 44xy + 4y² = (11x + 2y)²
Eight less than four times a number is less than 56. What are the possible values of that number?
X>12
X<12
X<16
X>16
Answer:
4x-8<56
4x<64
x<16
Answer:
hu
Step-by-step explanation:
j
2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it
by extending cach side 7 feet.
a. Represent the length and width of the original garden using an appropriate variable.
Width:
W.4
w
Length:
b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is
enlarged
Perimeter:
Answer:
P = 10W + 28
Step-by-step explanation:
Let L be the original length of the garden
W be the original width of the garden
If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W
If he is going to enlarge it by extending each side 7 feet, then;
The new length l = (4W + 7) feet
The new width will be w =(W+7) feet
Perimeter of the rectangular gerden P = 2(l+w)
l and w are the new length and width
Substituting l = 4W+7 and w = W+7 into the formula;
P = 2(4W+7+W+7)
P = 2(5W+14)
open the parenthesis
P = 10W + 28
Hence the perimeter of Mr. Kim's garden after it is enlarged is given by the expression P = 10W + 28
I'm not sure what the question is asking.
f = 2 g = 3
(2)(2) + (3)(3)
(2)(2) + (3)(3)=13
The Big Boy was a famous lovomotive built during the 1940’s. The locomotive was about 132 feet long. About how long is an s-scale model of a Big Boy locomotive?
Answer:
2.0625 feet
Step-by-step explanation:
The S-Scale ratio is 1:64, so the answer is just 132/64, or 2.0625.
If you're building a miniature locomotive, good luck man
is 3.45445554 rational or irrational?
Answer:
3.45445554 is irrational.
Hope this helps!
Please can you mark as Brainliest!
Step-by-step explanation:
Answer:
[tex]3.45445554[/tex]
Rational number ✔️
rational number is the number that can form a fraction
Dan drove his truck 2436 miles in six months at that rate how far will he drive in 12 months
Answer:
4,872 miles
Step-by-step explanation:
Step 1:
2,436 : 6
Step 2:
2,436 : 6 = x : 12
Step 3:
6x = 29,232
Answer:
x = 4,872
Hope This Helps :)
the intersection of a line and plane is a line
Describe the relationship between the two quantities. Volume of a cylinder; Height & radius of cylinder’s base.
Answer:
V=πr^2h
Step-by-step explanation:
I need help on fractions and decimal world problems
Truffles cost $3 each and caramels cost $2 each. If t represents the number of truffles and c represents the number of caramels, explain what each of the following expressions represents. Explain your reasoning for each. a) t +c b) 3t +2c
Answer:
a) Combined amount of truffles and caramels bought
b) Amount of money spent in total on both truffles and caramels
A truck can be rented from Company A for $110 a day plus $0.40 per mile. Company B charges $80 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. PLZ HELP
Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess
What is the solution to 10(3x−5)=−20
Answer:
x = 1
Step-by-step explanation:
Apply the distributive property. It should now look like this: 30x - 50 = -20Add 50 to each side, so it now looks like this: 30x = 30Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1I hope this helps!
The city library subscribes to
125 magazines at an
average cost of $23 a year
for each. What is the yearly
cost of all these magazines?
Answer:
Yearly Cost per each magazine=$23
Since there are 12 months in every year,
$23 × 12 =yearly cost
Therefore, $276 is equal to the yearly cost
Evaluate this function f(x)= -x2+6x+19 Find f(5)
Answer:
f(5) = -10+30+19 = 39
Step-by-step explanation:
f(5) = (-5)2+6(5)+19
-10+30+19
=39