Answer:
∠BAD = 100°
∠ADC = 105°
∠DCB = 50°
∠ABC = 105°
Step-by-step explanation:
∠BAD is given.
∠ADC is supplementary to the 75°, so it is 180-75 = 105°
∠DCB is 50° just like its opposite angle
The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.
the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches
linear equations: c+2c+12=75
Answer:
c = 21
Step-by-step explanation:
c + 2c + 12 = 75
Combine like terms.
3c + 12 = 75
Subtract 12 from both sides.
3c = 63
Divide 3 on both sides.
c = 21
PLEASE HELP ME LAST QUESTION!!!!!!
Answer:
Angle 5
Step-by-step explanation:
Answer:
Angle 5
Step-by-step explanation:
Angle 8 is across from angle 5 meaning they have the same degrees.
Please help me :))))
Answer:
12617.13
Step-by-step explanation:
250(1+0.103)^40= 12617.13
hope it help
Answer:
12617.13
Step-by-step explanation:
a kennel has40 dogs in total , some are puppies and some are adults dogs . the ratio of puppies to adult dogs is 1:4 how many puppies are there
Answer:
8 puppies
Step-by-step explanation:
Total = 40
Ratio = 1:4
Total Parts = 4+1 = 5
Divide this from the total
=> 40/5 = 8
Now, Multiply the result with the ratios:
=> 4 * 8 = 32
=> 1 * 8 = 8
Answer: total number of puppies:40
Ratio of puppies to adults;1:4
1x+4x=40… 1x puppies
4x adult dogs
5x=40:x=40/5=8
No. Of puppies=1*8(x=8)
No.of adult dogs=4*8:32
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second.
Answer:
It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.
How do you do this? Bearings. Please help
Answer:
Hi !
You need to use the "cosine rule" :
d² = 24² + 32² - (2 x 24 x 32)cos125°
So == > d² = 1600 - 1536cos125°
Then ==> d² = 2481.013406
Conclusion == > d = 49.8 nautical miles
The distance between the ships after 2 hours is 49.8 nautical miles
; )
Subtract. Express your answer in lowest form. 8 1/4 minus 5 2/3 a. 3 5/12 b. 3 7/12 c. 2 5/12 d. 2 7/12
Answer:
D. 2 7/12
Step-by-step explanation:
8 1/4 - 5 2/3
Turn to improper fractions.
33/4 - 17/3
Make the denominators equal.
99/12 - 68/12
Subtract the fractions since denominators are equal.
31/12
= 2 7/12
Answer:
[tex] 2 \frac{7}{12} [/tex]
Answer D is correct.
Step-by-step explanation:
[tex]8 \frac{1}{4} - 5 \frac{2}{3} \\ \frac{33}{4} - \frac{17}{3} \\ \frac{99 - 68}{12} \\ \frac{31}{12} = 2 \frac{7}{12} [/tex]
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Answer:
true
Step-by-step explanation:
because CD divided AB into equal halves, so they are of course perpendicular.
Answer:
Step-by-step explanation:
This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
Help please !!!!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, thus
6x - 15 = x + 15 ( subtract x from both sides )
5x - 15 = 15 ( add 15 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Answer:
X=6 Read explination
Step-by-step explanation:
A parallelogram has the perrimeter of both opposite sides equal
So we know that
6x-15=x+15
This is because in a parrellelogram the opposite sides are equal
so breaking it down
6x-15=x+15
(add 15 to both sides)
6x=x+30
(subtract x from both sides)
5x=30
(divide both sides by 5)
x=6
The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.
Answer:
(C)221.5 miles
Step-by-step explanation:
Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]
Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]
[tex]a=32$ miles\\b=23 miles\\\theta =37^\circ[/tex]
Therefore, The area of the portion that will not be farmed
[tex]=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles[/tex]
The correct option is C.
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 4 feet. The area of the logo must be at most 14 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle. Use b for the base length of the triangular logo.
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.
Hi, I’m really struggling, if anyone knows, please could you help?
Answer: a) 26
Step-by-step explanation:
-a would be because as you can see there is a pattern of sticks, so what i did was count up the sticks and i found that there was 6 in the first one. So i counted the second one and it was 10 so i realized that all i had to do was add 4.
and for b i think when it says n it means the nth term which is 4 so i think it means pattern 4 which would be 18 so try that out
hope this helped x
Please answer this question now fast in two minutes there can be more than one answer
Answer:
QT and ST
RS and SW
Step-by-step explanation:
There are 2 of the answer choice that are correct. QT and ST, RS and SW.
Those lines do intersect each other at a corner of the cube.
the focal length F of a lens made by combining two lenses of focal length U and V is given I/F=I/U+I/V
A.make V the subject of the formula.
B.find V when F=6,U=10
Answer:
a). [tex]V=\frac{U.F}{U-F}[/tex]
b). V = 15 units
Step-by-step explanation:
Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,
[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]
A). By solving the given formula,
[tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]
[tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]
[tex]V=\frac{U.F}{U-F}[/tex]
B). If F = 6 and U = 10 then we have to find the value of V.
By substituting the given values in the formula,
[tex]V=\frac{6\times 10}{10-6}[/tex]
[tex]V=\frac{60}{4}[/tex]
V = 15 units
Therefore, focal length (V) of the lens = 15 units
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
Find the values of a and b such that x^2-x+5=(x-a)^2+b
Answer:
a = 0.5 or 1/2
b = 19/4 or 4.75
Step-by-step explanation:
Step 1: Isolate x's
x² - x = -5
Step 2: Complete the Square
x² - x + 1/4 = -5 + 1/4
(x - 1/2)² = -19/4
Step 3: Move everything to one side
(x - 0.5)² + 4.75
Izzy gets a loan of $2,800 with an APR of 3.5%. She will repay the loan in monthly payments for 9 months. To find the total amount of interest she will pay, Izzy uses an online calculator. What are the correct numbers she should enter?
Answer: Hold on
Step-by-step explanation: LEt me see this is tricky
Answer: P= 2,800, r= 0.035, n= 12, t= 0.75
Step-by-step explanation:
I guessed and got it right!
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)
Answer:
$8,355.555
Step-by-step explanation:
Hello,
This question relates to compound interest and to solve it, we'll need to use the right formula.
C.P = P(1 + r/n)^nt
C.P = compound interest
P = principal
R = rate
N = number of times compounded
T = time
C.P = $47,000
P = ?
R = 5% = 0.05
N = 4
T = 35 years
Substituting the variables into the equation,
47,000 = P (1 + 0.05 / 4) ^ (4 × 35)
47,000 = P (1.0125) ^ 140
47,000 = P × 5.625
Divide both sides by 5.625 and solve for P
P = 47,000 / 5.625
P = $8,355.555
The initial investment was $8,355.555
help i will give brainliest
Answer:
see below
Step-by-step explanation:
Formula: Center Not at Origin:
New point = k( x-a) +a, k( y-b) +b where k is the scale factor and ( a,b) is center of dilation
New point = -2( x-4) +4, k( y-6) +6
The scale factor is k = -2
Taking the top point ( 1,9)
New point = -2( 1-4) +4, -2( 9-6) +6
= -2(-3) +4 , -2(3) +6
6+4, -6+6
10,0
Taking the bottom left point ( 1,7)
New point = -2( 1-4) +4, -2( 7-6) +6
= -2(-3) +4 , -2(1) +6
6+4, -2+6
10,4
Taking the bottom right point ( 2,7)
New point = -2( 2-4) +4, -2( 7-6) +6
= -2(-2) +4 , -2(1) +6
4+4, -2+6
8,4
Calculate the volume of the following object:
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Answer: [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]
Step-by-step explanation:
Notes: Coefficients condense to exponents.
Subtraction condenses to division
[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]
solve for x. 5x=15+5
Answer: x=4
Step-by-step explanation:
5x=15+5
15+5=20
5x=20
divide 5 on both sides
20/5=4
x=4
Answer:
x=4
Step-by-step explanation:
5x=15+5 add
5x=20 divide
x=4 simplify
BRAINLIEST PLEASE HELP!!!!
Answer:
A. 2x + (-x + 2) = -1
Step-by-step explanation:
Well if we use x + y = 2 as the substitute we need to solve for y.
x + y = 2
-x to both sides
y = -x + 2
Substitute
2x + (-x + 2) = -1
Thus,
the answer is A. 2x + (-x + 2) = -1.
Hope this helps :)
Which type of transformation is shown? The transformation is a
What's is the midpoint of a line segment with endpoints at (0,-8) and (-8,0)?
Answer:
The mod-point is (-4,-4)
Step-by-step explanation:
By using mid-point formula
M(x,y)=(x1+x2)/2 ,(y1+y2)/2
putting the values of the coordinates
M(x,y)=(0+-8)/2 ,(-8+0)/2
M(x,y)=-8/2 , -8/2
M(x,y)=(-4,-4)
So the mid-point is (-4.-4)
I hope this will help you :)
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom? THIS IS A RATIO!
Answer:
4:7
Step-by-step explanation:
The number of students in the class is:
boys + girls
12 + 16 = 28
There are 28 students.
The ratio of girls to students is:
16:28
Simplify the ratio.
4:7
Answer:
4:7
Step-by-step explanation:
I got it right on the test