Answer:
42
Step-by-step explanation:
khanacademy
The measure of angle ABC by the given data is 57 degrees.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
∠ABD=70∘
Now,
To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:
m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180
To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:
Step 1: Combine like terms on both sides of the equation.
70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180
Step 2: Subtract 116 from both sides of the equation.
8x + 116 - 116 = 180 - 116 8x = 64
Step 3: Divide both sides by 8 to get x by itself.
8x / 8 = 64 / 8 x = 8
Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:
m∠ABC = 3x + 33 m∠ABC
= 3(8) + 33 m∠ABC
= 24 + 33 m∠ABC = 57
Therefore, by algebra the answer will be 57 degrees.
More about the Algebra link is given below.
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Solve the system using elimination. Show all work for full credit.
-3x - 3y = 12
3x + 4y = -11
Help me
Answer:
X=-5, y=1
Step-by-step explanation:
Add 3x+-3x to get 0. You are left with
-3y=12
4y=-11
add together
y=1
substitute1 in either equation to solve for x
-3x-3y=12
-3x-3(1)=12
-3x-3=12
-3x=15
x=-5
what is (15-3)x(4+3)
Answer:
84
Step-by-step explanation:
Pic from the problem
Answer:
53.2
Step-by-step explanation:
Im sorry if im wrong
8c^2+7c how do i solve this
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight travel if it
completes 10 revolutions on the end of a 0.88 m thread?
Give your answer correct to one decimal place.
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
What is the area and circumference of the given circle
Answer:
Area=36π ft or 113.1 ft
Circumfrence= 12π ft or 37.7 ft
Step-by-step explanation:
A=πr^2
r=6
A=36π ft or 113.1 ft
C=2πr
C=12π ft or 37.7 ft
Which set of angles is complementary?
Answer:
angles ECF and BCF
Step-by-step explanation:
Directions: Find the value of x.
Round angle measures to the nearest degree.
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the given right triangle,
Hypotenuse = 15
Perpendicular = 12.5
Now,
[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]
[tex]\sin x^\circ=0.83333[/tex]
[tex]x^\circ=\sin^{-1}0.83333[/tex]
[tex]x^\circ =56.442345^\circ[/tex]
[tex]x\approx 56[/tex]
Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.
What is 100 km/h in mph?
Use 5 miles = 8 km.
Give your answer as a decimal
Answer:
Answer is100*5/8 = 62.5
Answer:
62.5
Step-by-step explanation:
100×5/8=125÷2=62.5
Identify CD.
Here is link to photo: https://thinkwell.cachefly.net/questionbank/95001-96000/95286/img/95286a.svg
- 4/9 times - 5/8 in fractions.
Answer:
5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.
Step-by-step explanation:
The product of -4/9 and -5/8 is 5/18.
Given are two negative fractions -4/9 and -5/8, we need to find their product,
To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.
Let's find the product of -4/9 and -5/8:
Product = (-4/9) x (-5/8)
To calculate the product, multiply the numerators and denominators:
Product = (-4 x -5) / (9 x 8)
Simplifying the multiplication:
Product = 20 / 72
Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:
Product = (20/4) / (72/4)
= 5/18
Therefore, the product of -4/9 and -5/8 is 5/18.
Learn more about Fractions click;
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Which of the following situations forms a proportional relationship? Select all that apply.
5 DVDs for $9 and 15 DVDs for $27
6 cups of coffee for $8 and 9 cups of coffee for $12.
3 purses for $60 and 5 purses for $90
12 cans of soup for $3 and 30 cans for $7.50.
2 ink cartridges for $25 and 4 ink cartridges for $75.
Answer: 1st,2nd, and 4th one are correct.
Step-by-step explanation:
an someone tell me the steps in solving 5b - 6 = 24?
helppp ME PLEASEEEEE :))))!!!
Answer:
0.0567 x 10^4 < 2.3069 x 10^3 < 0.04069 x 10^5
Step-by-step explanation:
2.3069 x 10^5
4.069 x 10^5
0.567 x 10^5
Evaluate function expression.
who can help ?
Given:
The graph of two function f(x) and g(x).
The expression is:
[tex]-1\cdot f(-8)-4\cdot g(4)[/tex]
To find:
The value of the given expression.
Solution:
From the given graph, it is clear that
[tex]f(-8)=-5[/tex]
[tex]g(4)=3[/tex]
Substitution [tex]f(-8)=-5[/tex] and [tex]g(4)=3[/tex] in the given expression, we get
[tex]-1\cdot (-5)-4\cdot 3[/tex]
[tex]=5-12[/tex]
[tex]=-7[/tex]
Therefore, the value of the given expression is -7.
Which one is the correct answer?
Answer:
200
Step-by-step explanation:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. Plz mark me brainliest!
Answer:
200 cm^2
Step-by-step explanation:
For a rectangular prism, V = lwh
V = (10 cm)(4 cm)(5 cm) = 200 cm^2
Which one is correct?
Answer:
720cm^2
Step-by-step explanation:
i dont think this is right answer
Answer:
720cm^2
Step-by-step explanation:
pls dont report
Can somebody help with this problem?
Answer:
x=-5 or -5
Step-by-step explanation:
x - 4 = 2x + 1
Subtract x from both sides canceling out the x on the left, getting...
-4 = x + 1
Then subtract the 1 from both sides canceling out the 1 on the right, getting...
-5 = x
Subtracting x from 2x gets you 1x which you just write as x because there is only one x. Doing the equation from the other side will still get you the same answer and I will show you.
x - 4 = 2x + 1
-x - 4 = 1
-x = 5
x = -5
Hope this helps!
There is a line that includes the point (4, – 10) and has a slope of 8. What is its equation in point-slope form?
Maria plans to double the amount of time she spends walking per day each week.she starts , on week 1 , walking 5 minutes per day. after 7 days , she then walks 10 minutes per day
(a) how many minutes per day will maria be walking on week # 6 , show the calculation that gives your answer
(b) scale the y axis appropriately and graph the first six terms of this sequence .list them all if you haven't already
(c) according to this geometric progression how many minutes per day would maria be walking on week # 10 why is this not a viable answer
Answer:
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
Step-by-step explanation:
Week 1 - 5 minutes per day
Week 2 - 10 minutes per day
Week 3 - 20 minutes per day
Week 4 - 40 minutes per day
Week 5 - 80 minutes per day
Week 6 - 160 minutes per day
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
The diameter of a water bottle is 2.4 centimeters. The height is 10.3 centimeters. What is the volume?
Answer: V ≈ 46.6
The formula for a cylinder with a diameter is: [tex]V=\pi (\frac{d}{2})^2h[/tex]
As that being said, we multiply the diameter with pi, then divide the diameter by 2, then multiply the height.
Remember, pi is 3.14.
π → 3.14
Let's break the equation down.
3.14 × 2.4 / 2 × 10.3.
Let's solve.
3.14 × 2.4 / 2 × 10.3 = 46.5961
We solved the equation, but we aren't done. We round the decimal to the nearest tenth.
To do that, find the 5 in the tenth place and take a look at 9. Round up if the digit to the right is greater or equal to 5. Round down if the digit to the right if less than 5.
Therefore, 9 is greater than 5, so we round up.
46.5961 → 46.6
Hence, 46.6 is the answer.
Answer:
v=46.6
Step-by-step explanation:
ok so the shape of the bottle isn't given, but we can assume that it's a cylinder.
with that, we need to 'find' the formula for the volume of a cylinder-
v=πr²h
now, lets plug in what we know-
we were given the diameter, which is the straight line passing from side to side through the center of a body or figure, especially a circle or sphere. but what we need is the radius, so to find that we'll divide the diameter in half-
2.4/2=1.2
now we can plug in the radius and height-
v=π*1.2²*10.3
v=46.6
good luck :)
i hope this helps
have a nice day!
**brainliest would be appreciated**
Miguel is posting photos on a school website. He has 48 photos. And he is allowed to use 12 pages.He wants to put the same number of photos,P,on eaxh page
Answer:
4
Step-by-step explanation:
48/12 to get how many in each page
help me for brainiest:(
Answer:
27 ft²
Step-by-step explanation:
area is L•W so each squares area is 3•3 =9. theres 3 squares so 9•3 =27
Select the correct answer. Consider functions f and g. f(x) = x^3 + 5x^2-x Which statement is true about these functions? A. Over the interval , function f and function g are decreasing at the same rate. B. Over the interval , function f is increasing at the same rate that function g is decreasing. C. Over the interval , function f is decreasing at a faster rate than function g is increasing. D. Over the interval , function f is increasing at a faster rate than function g is decreasing.
Answer:
4.0/5
12
The second statement.
Step-by-step explanation:
Any increasing exponential function will always eventually be greater than any other non-exponential function.
The statement that is true from the function given above is:
"Over the interval [-2, 2], function f is increasing at a faster rate than function g is decreasing." (Option D)
A function in mathematics is known as an expression of a relationship involving two variables:
Dependent and Independent, using a mathematical connotation.Why is option D a True statement?It is clear from the number array (attached) that x > 0, f(x) ↑ while x< 0 f(x) ↓.
While for g(x) it is confirmed that 0 <x<2, gx) ↓.
[-2< x< 0, g(x) may ↓ or ↑]
Hence, x from 0 to 2, g(x) from 6 to -16, that has been modified for 22 while the f(x) changes from 0 to 26, and changed from 26, 26 > 22.2
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Match each shape with its corresponding formula for area.
1. the line which divides a figure into two congruent mirror images
rotational symmetry
2. property where a figure can be folded along a line to create two congruent mirror images
line symmetry
3. property where a figure can be rotated less than 360° and still look the same
line of symmetry
Answer:
1- line of symmetry
2- line symmetry
3- rotational symmetry
Step-by-step explanation:
im pretty sure because i just did this unit :]
i need help with this plz :)
Answer:
Assuming the wall is flat, X = 50.5
Step-by-step explanation:
180 degrees - 79 degrees = 101
101 / 2 = 50.5
Hope this helps :)
pls help on these and thku
Answer:
the second one
Step-by-step explanation:
Find the measure of the missing angles.
PLEASE HELP !
Answer:
B and C are both 92 degrees :)
Step-by-step explanation:
180-88 is 92 and C and B are vertical angles so they would both be 92 degrees.
Help on this question please I don’t understand
What is the common ratio of the following sequence? 7, 21. 63, 189
Answer:
3
Step-by-step explanation:
7×3=21
21×3=63
63×3=189