Answer: 20 units
Step-by-step explanation: The diagonal forms a Right Triangle with the side opposite the 30° angle, and the hypotenuse is the base. In a 30, 60, 90 triangle, the hypotenuse is always twice the length of the short side, given as 4. So the base is 8.
The upper triangle is iscosceles, and the trapezoid is iscosceles, so the other sides are all 4 units in length.
3×4=12
8+12=20 units
Solve the inequality. y – 5 ≥ 11
Answer: y≥16
Step-by-step explanation:
[tex]y-5\geq 11\\\\Add(5)\\\\y\geq 16[/tex]
Hope it helps <3
Answer:
[tex]\boxed{y \geq 16}[/tex]
Step-by-step explanation:
=> y - 5 ≥ 11
Adding 5 to both sides
=> y - 5 + 5 ≥ 11 + 5
=> y ≥ 16
Simplify 2a^2b^3(4a^2+3ab^2-ab)=?
A. 8a^4b^5+3a^3b^5-2a^3b^4
B. 8a^4b^3+6a^3b^5-2a^3b^4
C. 8a^4b^5+3a^3b^5-2a^3-ab=
Simplify 12-(-8)x4=? A. 44 B. -20 C. 16 D. 80
One day when Terry went to school the temperature outside was -15 degrees Fahrenheit. In Terry's classroom the temperature was 68 degrees Fahrenheit. How many more degrees was it inside the building than outside? A. +53 degrees B. +83 degrees C. -53 degrees D. -83 degrees
If Juan purchased thee 24-ounce cans of motor oil for 410.80, how much did he pay per ounce? A. $3.60 B. $.45 C. $2.59 D. $.15
Simplify (x^2+16)(x^2-16)=? A.x^4-32 B. x^4+256 x^4-256 D. x^4+32
If the value of b is 7, then what is the value of the expression -3b^2+25=?
A. 122
B .17
C. 172
D. -122
Answer:
1.) 8a⁴b³ + 6a²b³ab² - 2a²b³ab
2.) A. 44
3.) B. +83 degrees
4.) D. $0.15
5.) x⁴ - 256
6.) D. -122
7.) -6r²s⁴t³
Step-by-step explanation:
1.) To simplify, we simply multiply/distribute and then combine like terms.
2.) To simplify, we use Order of Operations BPEMDAS to solve.
3.) To find, we simply subtract 68 and -15 to get +83 as our answer.
4.) To find, we simply multiply 3 by 24 to get 72, then divide by $410.80 to get $0.15 as our answer.
5.) To expand/simplify, simply use Difference of Squares to get C. as our answer.
6.) To find the value, simply plug in 7 for b to get -122 as our answer.
7.) To find the result, remember that when you divide exponents, you subtract the powers.
What's is the midpoint of a line segment with endpoints at (0,-8) and (-8,0)?
Answer:
The mod-point is (-4,-4)
Step-by-step explanation:
By using mid-point formula
M(x,y)=(x1+x2)/2 ,(y1+y2)/2
putting the values of the coordinates
M(x,y)=(0+-8)/2 ,(-8+0)/2
M(x,y)=-8/2 , -8/2
M(x,y)=(-4,-4)
So the mid-point is (-4.-4)
I hope this will help you :)
Can anyone help me with this question
Answer:
3x + 7
Step-by-step explanation:
1. Distribute the negative into the parentheses.
6x - (3x - 7)
6x - 3x + 7
2. Simplify.
6x - 3x + 7
= 3x + 7
i dont know please help
Answer:
less than or equal to x
Step-by-step explanation:
For example
[4 ] = 4
[4.3 ] = 4
[- 2 ] = - 2
[- 2.4 ] = - 2
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second.
Answer:
It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.
The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.
Answer:
(C)221.5 miles
Step-by-step explanation:
Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]
Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]
[tex]a=32$ 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.
Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get after 10 years? A.)18,122 B.)18,014 C.)17,908 D.)17,704
THe closest answer i got was 18122
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
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!
OK so I need to know what 96÷6 is and I know it is 16 but I need to know how to do it in long division can anyone help me
Answer:
16
____________
6| 96
-6 |
V
36
- 36
0
6 goes into 9 one time because 9-6=3 so there is 1 six in 9. Write 1 at the top because you have 1 6.
Subtract the 6 and you get 3
Bring the 6 from 96 down
you get 36
6 goes into 36 6 times because 36-6-6-6-6-6-6=0 so write a 6 at the top and you get 16 because of the previous 1.
Subtract 36 by 36 to get 0
Hope this helps
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
You have to take each number in the dividend (number being divided) and divide it by the number in the divisor (number that is dividing). Here you would take 9, the first number in the dividend and divide it by 6, and you would put that in the first space of the quotient (answer). You would then take that number and multiply it by 6 and place it in the space below. Subtract 6 from 9 and get 3. Drop down the 6 to get 36. Take 36 and divide that by the divisor 6 and get 6 next to the number 1 you calculated earlier to get your answer 16. Take 6 and multiply it back to get 36 and subtract it from 36 to get a remainder of 0.
I showed how to do it visually in the attachment just in case this explanation didn't make any sense
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:
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.
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
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]
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
Someone please help please
Answer:
-7x + 2y - 2z.
Step-by-step explanation:
Using the distributive property, you basically have...
-1 * 7x + -1 * -2y + -1 * 2z = -7x + 2y - 2z.
Hope this helps!
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O(x, y) = (-x, -y)
O(x,y) - (y, x)
O (X,Y)= (-y, -x)
O (x,y) → (y, -x)
ET
Answer:
The answer is p( x,y) =p-1 ( p das) (- y,x)
hope you get it..
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).
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
; )
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
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
The sides of a square are three to the power of two sevenths inches long. What is the area of the square? (
Answer:
Step-by-step explanation:
The side of the square = 3^2/7
Use the law of exponents . If the power is a fraction, that means it is
3^2/7 = 3^2 x 1/7 = 7√9
To find the area you multiply this by itself.
This gives you 1.87...
Hope this helps
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
Which type of transformation is shown? The transformation is a
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.
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
PLEASE HELP A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the probability of drawing one blue marble?
Answer:
15/64
Step-by-step explanation:
3 blue
5 red marbles.
since the marble is put back in, the denominator will not change,
so to draw ONE marble, the chances would be
chances of picking a blue marble 3/8
chances of picking a red marble 5/8
3/8 * 5/8 - 15/64
please mark me brainly.
Answer:
The probability of drawing one blue marble is 3/8 because you have three blue marbles out of a total of eight marbles. The probability of drawing a second blue marble is also 3/8 but since you have to draw both marbles consecutively you have to multiply the probabilities of drawing each marble. So,
3/8•3/8 = 9/64.
Now you need to change it to a percent.
We do this by
9/64 x 100 = 14% approx
By rounding to 1 significant figure, estimate the answers to these questions:
346 x 904
Answer:
312 784
Step-by-step explanation:
if u need this answer, take
Significant figure can be defined in mathematics as the number of integers or digits in a number that tells us how significant and accurate the number is.
Rounding to 1 significant figure, 346 x 904 is 300000
When rounding a number to significant figures, the following rules are important.
Digits with no zeros in them are always significant Zeros between digits with no zeros in them are always significant The zero at the beginning of a number is not insignificant.
346 multiplied by 904 is calculated as:
346 x 904 = 312794
Converting 312794 to 1 significant figure is 300000
Therefore, rounding to 1 significant figure, 346 x 904 is 300000.
To learn more, visit the link below:
https://brainly.com/question/19698904