Rewrite the expression by factoring out (w-2).
5w(w – 2) + 2(w-2)
In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]
AD = 15 , AB = 8 , [tex] \angle[/tex] DAB✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]
Height & Area of the given parallelogram✰ [tex] \underline{ \underline{ \large{ \tt{S \: O
\: L \: U \: T\: I\: O \: N}}}} : [/tex]
In right angled triangle ABE :
Hypotenuse ( h ) = 8Perpendicular ( p ) = h [ height ][tex] \theta[/tex] = 20°Now , Using trigonometric ratio :
[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]
Plug the known values :
⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]
⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]
⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]
⟶ [tex] \large{ \tt{h = 2.72}}[/tex]
Now , We have :
Base ( b ) = 15Height ( h ) = 2.72Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :
❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]
⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]
⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]
Hence , Our final answer :
[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]
[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
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What is the value of X?
Answer:
X=20Step-by-step explanation:
because both angles are vertical they are equal to each other
lets solve 3x+50=6x-10
add 10 to 60
3x+60=6x
subtract 3x from 6x
60=3x
divide 3 on both sides
20=x
X=20
I hope this helped :)
The ratio of girls to boys on a soccer team is 2 to 3. If there are 15 boys on the team, how many are girls? Let g = the number of girls on the team. Set up a proportion for this word problem.
Answer:
3X=15
X=5
2X5= 10
G=10
Step-by-step explanation:
Find x. Round to the nearest tenth if necessary.
Answer:
5
Step-by-step explanation:
3+x
Answer:
Is there any picture? If there isn't, it cannot be solved.
Step-by-step explanation:
write the linear function. i will make brainylist
Answer:
y=-2x+5
Step-by-step explanation:
To figure out the equation of a line, use the formula y=mx+c, where y and x represent the co-ordinate values, m is the slope and c is the y-intercept (where the graph cuts the y-axis).
The slope can be found by taking two points (x1,y1) and (x2,y2), and using the formula m=(y2-y1)/(x2-x1):
(0,5) and (1,3)
m=(3-5)/(1-0)
m=-2
We can see from the graph that the line cuts the y-axis at y=5, so c=5.
Now that we know m and c, we plug these values into our formula to get y=-2x+5
What are the next three terms in the sequence?
-6,5,16,27...
38, 49,60
37,47,57
36, 45, 54
36, 46,57
Answer:
uff si está bien fácil por favor tu te sabes la respuesta y yo tambien
4. Solve for x in each diagram.
a.
X°
108°
156°
Answer:
x = 48°Step-by-step explanation:
108° + 24° + x° = 180°132° + x° = 180°x° = 180° - 132°x= 48°MARK ME AS BRAINLISTPLZ FOLLOW MRFind the area of the semicircle. Use 3.14 for pi.
Answer:
25.12
Step-by-step explanation:
πr^2
π4^2 = ~50.27
~50.27/2 = ~25.12
solve for x 0°<x<360
3cos2x +sinx=1
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she biked.
Answer:
n+524
Step-by-step explanation:
you add both years worth of biking together!
X < -4.8
Chose 2 Answers:
(A)2
(B)0.9
(C)-2.3
(D)-5
(E)-6.1
Please Help.
Answer:
D & E
Step-by-step explanation:
Will marks as brain Uh I don’t have to watch ads for like 40 questions and I don’t know if you just get them for answering questions or if I accidentally bought premium help
Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a jack and then selecting a king
The probability of selecting a jack and then selecting a king is _______
(Round to three decimal places as needed)
Answer:
3.25
Step-by-step explanation:
100 POINTS!!
Find the slope and the y intercept of the line in the graph.
Answer:
Slope: 5/1
y-intercept: 2
Step-by-step explanation:
What is the area of the circle below?
27 m
424 m?
848 m?
O 572 3 m
0 729.1 m
Answer:
Can you show us the circle so we can solve the problem?
Step-by-step explanation:
Find the value of z in parallelogram CDEF
Answer:
z = 13
Step-by-step explanation:
Opposite sides of a parallelogram are equal. Therefore:
3z = z + 26
Subtracf z from each side
3z - z = 26
2z = 26
z = 26/2
z = 13
Please help, this is due soon.
The function h is defined by h(x)=x^2 +2.
Find h(3y).
write the digit on the blank which occupies the place value
Answer:
guganitckihkgucifufu
Can you please help thanks
Answer:5/2a + 10/3b
Step-by-step explanation:
(1/6)(15a+20b)
=(1/6)(15a)+(1/6)(20b)
I would like anyone to help me with this, please!
Answer:
the sencond and the last one
Answer:
125 • 125
Step-by-step explanation:
5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625
125 • 125 = 15,625
They give the same result so both expressions are equivalent to each other.
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.
Answer:
t(x) = 6x + 438
Step-by-step explanation:
The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.
Note that the first function is fixed and doesn't actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.
// combining the two functions
t(x) = 450 + 6(x − 2)
// simplification
t(x) = 450 + 6x − 12
t(x) = 450 + 6x − 12
// the simplified function is
t(x) = 6x + 438
Find an equation of a line parallel to the line y = 1/2x-3that contains the point (6,4).
Write the equation in slope-intercept form.
#First find the gradient first, remember that the formula of equation of the line is y = mx + c and gradient's symbol is m
y = ½x - 3
#so the gradient is ½, now u can find the equation of the lime.
y - y1 = m(x - x1)
y - 4 = ½(x - 6)
y - 4 = ½x - 3
y = ½x - 3 + 4
y = ½x + 1
Answer : y = ½x + 11 over blank = 2 over 10 = blank over 100
Answer:
[tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{20}{100}[/tex]
Step-by-step explanation:
It's all about equivalent fractions.
[tex]\frac{1}{5}[/tex]
[tex]\frac{2}{10}[/tex]
[tex]\frac{20}{100}[/tex]
[tex]\frac{1}{5}[/tex] 1 × 2 = 2. 5 × 2 = 10. That is what makes [tex]\frac{2}{10}[/tex].
[tex]\frac{2}{10}[/tex] 2 × 10 = 20. 10 × 10 = 100. That is what makes [tex]\frac{20}{100}[/tex].
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children must be 1 : 8
Penny has 56 children at the nursery.
Work out the number of adults Penny needs for 56 children?
Show your wor
Answer:
9
Step-by-step explanation:
What is the greatest common factor of 12^5 and 8^3
Answer plzzzzzzzzzzzzz
Answer:
x=12.727822
Step-by-step explanation:
Since we know two of the angles, we can find the third. 180-90-45=45. This means the two sides of the triangle are also equal, and we know the hypotenuse is 18. So we can use the Pythagorean theorem.
x²+x²=18²
2x²=324
x²=162
x=√162
x=12.727822
Which number is prime?
A. 4
B. 10
C. 22
D. 31
Answer:
d. 31
Step-by-step explanation:
BRAINLIEST PLEASE
Calculate the distance between the points A=(-5, 6) and J = (1, -1) in the coordinate plane.
Answer:
7 cubic meters away
Step-by-step explanation: