Answer:
a. m<Q = 75°
b. m<M = 60°
Step-by-step explanation:
a. The triangle has two equal sides, therefore it is an isosceles triangle. Thus, its base angles would be equal also. m<Q = m<S
Therefore:
m<Q = ½(180 - 30)
m<Q = 75°
b. All sides of the triangle are equal. Therefore, it is an equilateral triangle with equal angles measuring 60° each.
m<M = 60°
if m<1 = 23^ and m<2 = 32^, find the measures of all other angles
Step-by-step explanation:
given,
m1=23°
m2=32°
m3=m1+m2+m3=180°{straight angle}23+32+m3=180°m3=180-55°m3=125°m3=m6{vertically opposite angle r equal}m6=125°m2+m3+m4=180°(straight angle)m4=180-157°m4=23°m3+m4+m5=180°{straight angle}m5=180-148°m5=32°hope it helps
stay safe healthy and happy....Answer to the question
Answer:
Step-by-step explanation:
In a parallelogram,
i) opposite sides are equal and parallel.
So, DC = AB
DC = 28 units
ii) Diagonals bisect each other.
AC bisects BD
DE = EB = [tex]\frac{1}{2}[/tex] BD
DE = [tex]\frac{1}{2}*91[/tex] = 45.5
DE = 45.5 units
A box with a square base and open top must have a volume of 171500 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x , the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x .] Simplify your formula as much as possible.
Answer:
The dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm
Step-by-step explanation:
The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.
Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are
A = 2lh + lw + 2wh
Now for a box of square base, l = w = x.
So, A = 2xh + x² + 2xh
A = x² + 4xh
Since V = x²h and V = 171500 cm³,
h = V/x² = 171500/x²
substituting h into A, we have
A = x² + 4xh
A = x² + 4x(171500 cm³/x²)
A = x² + 4 × 171500 cm³/x
A = x² + 686000 cm³/x
To find the value of x that minimizes A, we differentiate A with respect to x
So, dA/dx = d[x² + 686000 cm³/x]/dx
dA/dx = 2x - 686000 cm³/x²
equating this to zero, we have
2x - 686000 cm³/x² = 0
2x = 686000 cm³/x²
2x³ = 686000
x³ = 686000 cm³/2
x = ∛(343000 cm³)
x = 70 cm
To determine if this in a minimum dimension for A, we differentiate dA/dx and insert x = 70 cm
So, d²A/dx² = d[2x - 686000 cm³/x²]/dx
d²A/dx² = 2 + 3 × 686000 cm³/x³
d²A/dx² = 2 + 2058000 cm³/x³
with x = 70 cm, we have
d²A/dx² = 2 + 2058000 cm³/(70 cm)³
d²A/dx² = 2 + 2058000 cm³/343000 cm³
d²A/dx² = 2 + 6
d²A/dx² = 8 > 0
So, x = 70 is a minimum value for the dimension
Since h = 171500 cm³/x²
h = 171500 cm³/(70 cm)²
h = 171500 cm³/4900 cm²
h = 35 cm
So, the dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm
3
Solve for x.
X =
8
20
35
Answer:
x=00
Step-by-step explanation:l
nnm
According to the fundamental theorem of algebra, how many zeros does the function f(x)= 3x^4 + x + 2 have?
Answer:
4
Step-by-step explanation:
Any polynomial of degree n has n roots
but we may need to use complex numbers
This is a 4th degree polynomial therefor:
4 roots
In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?
43,567
45,248
53,901
562,011
Answer:
53,901
Step-by-step explanation:
The value given is: 245,093.
5 is in the thousands place. Multiply the thousands place with ten:
1,000 x 10 = 10,000
This means that the number with 5 in the ten thousands place will be your answer.
53,901 is your answer.
~
what is the image of point 0,6 after a dilation of 1/3
Answer:
(0,4)
Step-by-step explanation:
Find the volume of the triangular prism.
Answer:
33.55 m³
Step-by-step explanation:
volume is base area times height.
the base area is a right-angled triangle (a×b/2).
At = 2.5×4.4/2
the height is 6.1
the total volume is then
2.5×4.4×6.1/2 = 33.55 m³
Two of the desserts are sugar free
Three of the drinks are sugar free
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
My mom is making me do prayice and i need the answer for this thanks very much
if 2lbs of fertilizer will cover 252 square feet of lawn how many pounds would be needed to cover 1008 square feet?
Answer:
[tex]252 \: sq \: feet = 2 \: lbs \\ 1008 \: sq \: feet = ( \frac{1008 \times 2}{252} ) \\ = 8 \: lbs[/tex]
Answer:
8lbs of fertilizer
Step-by-step explanation:
1008 ÷ 252 = 4
2 × 4 = 8
The ratio of three angles of a triangle is 1:2:3. Find the measurement of the angles
Answer:
all the angles add up to 180 degrees
So 180÷6=30
(i got 6 cuz 1+2+3)
so 1=30
2=30*2=60
3=30*3=90
Solve for a r=x(a+b)
Solve for x x/2=-7
Answer:
a = (r/x) -b
x = -14
Step-by-step explanation:
r=x(a+b)
Divide each side by x
r/x = a+b
Subtract b
r/x -b = a
x/2=-7
Multiply each side by 2
x/2*2 = -7*2
x = -14
Answer:
1.) a = r / x - b
2.) x = - 14
Step-by-step explanation:
1.) r = x ( a + b )
r / x = x / x ( a + b) ...( Divide each side by x )
r / x = a + b
r / x - b = a + b - b ... ( Subtracting each side by b) r / x - b = a
2.) x / 2 = -7
x / 2 × 2 = -7 × 2 .. ( multiplying each side by 2 )
x = - 14
Please help me no links!!
Answer:
Step-by-step explanation:
The line is parallel to y axis so
slope : undefined
y intercept : the line doesn’t intercept y axis
Equation : x = -6
Find the value of 'x
Answer:
x = 16
Step-by-step explanation:
The sum of the angles of a triangle are 180
128+ 2x-3 +23 = 180
Combine like terms
2x+148=180
Subtract 148 from each side
2x+148 -148 = 180-148
2x = 32
Divide by 2
2x/2 = 32/2
x =16
Please help me pleasee quick !
Answer:
a 4,1. helpful answer
Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?
Answer:
-8 degrees Celsius is warmer
Answer:
-8 degrees C.
Step-by-step explanation:
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
656.3844
Step-by-step explanation:
Area of squares = [tex]s^{2}[/tex]
s = measure of a side, all sides are the same.
[tex]25.62^{2}[/tex] use a calculator
The four sides of Pam's vegetable garden are
26 3/4 feet,
24 1/2 feet,
23 1/2 feet, and
18 1/4 feet. How many feet of fencing are needed to go around the garden? First estimate the answer, then solve to find the exact answer.
Answer:
The perimeter of the garden would be 93 feet, meaning you would need 93 feet of fencing.
Step-by-step explanation:
To find the perimeter of a shape you first need to know how long each side of the shape is and then add those sides together, once you have that number, you have your perimeter. I hope this helps.
What does 32.689 x 10³ =???
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{32.689\times 10^3}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10 \times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]
[tex]\mathsf{32.689 \times1,000}[/tex]
[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
I dont know how to do this please help me
problem 17=A
problem 4= C
problem 9= B
problem 11= C
problem 14= D
Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
Radius: 6cm
Height: 15cm
How much water can Mary put in the cup without it overflowing?
A. 1,620
B. 540
C. 270
D. 180
Step-by-step explanation:
Volume of cylinder: πr²h
= π(6)² x 15
= 36π x 15
= 1620 cm³
Answer: A
Answer:
B. 540 picm3
Step-by-step explanation:
(6)2 X 15= 540
What is the value of x?
Answer:
I believe it’s 20
Step-by-step explanation:
What is the value of a?
Answer:
a = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex] (pythagoras theorem)
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex] (pythagoras theorem)
[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex] (pythagoras theorem)
From these 3 equations we can find the value of a
Slope and equation, how much battery does she lose an hour
PLEASE HELP ME WITH THIS
9514 1404 393
Answer:
3. $0.45
4. 50%
5. -5°, -1°, 1°, -2°, 5°
Step-by-step explanation:
3. The difference in tip amounts is ...
15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45
Jasmine paid $0.45 more tip than Candice.
__
4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.
__
5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.
We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.
The low temperatures were ...
2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
x-axis to create point M'. What ordered pair describes the location of M'?
The answer would be (3,2) because you would do (x,-y)
Can someone help me please
Answer:
C
Step-by-step explanation:
All others can be proved false.
Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:
Ben did 10 more crunches this week than last week. What number would Mr. Shin record?
Gail did 8 less crunches this week than last week. What number would Mr. Shin record?
Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?
Answer:
I guess it would go
Ben did:+10
Gail:-8
Nathaniel:0
Step-by-step explanation:
hope this was what you wanted
best of luck