Andre notices that he is a little taller than Heather, who described her height as h is greater than 150 and h is less than 160 Andre is also shorter than their math teacher who is 164 centimeters tall.

Answer: To find the missing length= WX= √9^2+12^2

WX= 15

Step-by-step explanation:

Answer:

t1 = 14  d= -2

Step-by-step explanation:

tn = t1 + d ( n-1)

t6 = t1 + d(6-1)

4 = t1+ 5d

t10 = t1 +d (10-1)

-4 = t1 +d9

Take the two equations and subtract to eliminate a1

4 = t1+ 5d

- (-4 = t1 +d9)

-------------------------

4 = t1+ 5d

+4 =- t1 -d9

-------------------------

8  =   -4d

Divide each side by -4

8/-4 = -4d/-4

-2 =d

Now we can find t1

4 = t1+ 5d

4 = t1 + 5(-2)

4 = t1 -10

Add 10 to each side

4+10 = t1

14 = t1

Answer:

A

Step-by-step explanation:

t1 = a

tn = a + (n-1)d

t6 = a + 5d = 4

a = 4 - 5d

t10 = a + 9d = -4

4 - 5d + 9d = -4

-8 = 4d

d = -2

a = 4 - 5(-2)

= 4 + 10

= 14

Answer:

28 rabbits

Step-by-step explanation:

From the statement, you can write the following:

d+c+r= 126

d=dogs

c= cats

r= rabits

Then, you have that there are 13 cats and that three fourths of the remaining animals are dogs:

c=13

d=(126-13)*(3/4)= 113*(3/4)= 85

Now, you can isolate r, to find the number of rabbits:

r=126-d-c

r= 126-85-13

r= 28

According to this, the are 28 rabbits.

Answer:

pppoooooiiinnttssss

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer: It would be 42 Centimeters! :D

Answer:

Mean - 250, Median - 250, Mode - 250, range - 90

Step-by-step explanation:

Answer:

mean: 250

mode: 250

median:250

range:90

Step-by-step explanation:

mean add everything and then divide

mode there are 3 250s making it the mode

median that is the middle

range 295-205=90

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

Answer:

cosθ= [tex] \frac{ \sqrt{15} }{8} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

In the 4th quadrant, the cosine of an angle is positive.

The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject [tex]x = - \sqrt{15} [/tex] since x lies on the right side of the y axis.

The meeting point is (1, - 1).

Look at the attachment to see.

Happy to help!

Answer:

$250 + $23x

Step-by-step explanation:

One time set-up fee for jerseys = $250

cost of one jersey = $23

therefore, cost x jersey = cost of one jersey*x = 23x

Total cost for this deal will be sum of  One time set-up fee for jerseys and cost x jersey

Total cost = One time set-up fee for jerseys + cost x jersey

Total cost =  $250 + $23x

Expression represents the total cost of x number of jerseys for the team is  $250 + $23x.

Answer:

Uranus is approximately 5 times farther from the sun than Saturn. The smallest zero is x = -10 as its the left-most value on a number line.

Step-by-step explanation:

Saturn:8.867 x 108 = 957. 636

Uranus: 1.787 x 109 = 194.783

b. 2 times

Answer:

a =  0.2 times

1250mph you'd tear through the crust of the earth and create a supervolcano to end all of us.

Step-by-step explanation:

Never fall that fast when parachuting, only you can prevent supervolcanoes.

Answer:

Step-by-step explanation:

(sin5-sin15+sin25-sin 35)/(cos 5-cos 15+cos 25 +cos 35)[tex]=\frac{-(sin 35-sin 5)+(sin 25-sin 15)}{(cos 35+cos 5)-(cos 25+cos 15)} \\[/tex]

[tex]=\frac{-2 cos \frac{35+5}{2}sin \frac{35-5}{2}+2 cos \frac{25+15}{2} sin \frac{25-15}{2} }{2cos \frac{35+5}{2}cos \frac{35-5}{2}-2cos \frac{25+15}{2} cos \frac{25-15}{2} }[/tex]

[tex]=\frac{-cos 20 sin 15+cos 20 sin 5}{cos 20 cos 15-cos 20 cos 5} \\[/tex]

[tex]=\frac{- cos 20(sin 15-sin 5)}{cos 20(cos 15-cos 5)}[/tex]

[tex]=\frac{-(sin 15-sin 5)}{cos 15-cos 5)} \\=\frac{-2cos \frac{15+5}{2}sin \frac{15-5}{2} }{-2 sin \frac{15+5}{2}sin \frac{15-5}{2} } } }[/tex]

[tex]=\frac{cos 10 sin 5}{sin 10 sin 5}[/tex]

[tex]=\frac{cos 10}{sin 10}[/tex]

=cot 10

Answer:

A & C

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles

Answer:

Triangles A and C are congruent.

Step-by-step explanation:

Congruent triangles are when two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The total of the angles of all triangles is 180, so then add all the angles then subtract that number from 180.

A: 110+30=140 (180-140=40)

B: 30+45=75 (180-75=105)

C: 110+40=150 (180-150-30)

Since Triangles A and C have the same angles, then they are congruent!!!

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

Step-by-step explanation:

(3x-4y)×(3x-4y-(3x+4y))

(3x-4y)×(3x-4y-3x-4y)

(3x-4y)×(-8y)

-8y×(3x-4y

Answer: 32y^2 -24xy

Step-by-step explanation:

Answer:

Base = 13in

Height = 17in

Step-by-step explanation:

Step-by-step explanation:

height of a parallelogram = 4 times more than it’s base

Let height = H

Base = B

H = 4 + B

area of the parallelogram = 221 in²

area of the parallelogram = base × height

221 = B × H = B × (4+B)

221 = 4B + B²

B² + 4B - 221 = 0

Using almighty formula to find B

See attachment for explanation

From the calculation:

Since the dimension of the parallelogram can't be negative, B = 13in

Height = B + 4 = 13+4

Height = 17in

Answer:

Base = 13 inches

Height = 17 inches

Step-by-step explanation:

The formula to find the area of a parallelogram = Base × Height

Let's represent Base = B

Height = H

From the question, the height is 4 times more than the Base

Height(H) = B + 4

Area = 221 square inches

Therefore, area of a parallelogram = Base × Height

221 sq in = B ×( B+4)

221 sq in = B² + 4B

B² + 4B - 221 = 0

We would solve the quadratic equation using factorisation method. Hence,

B² + 17B - 13B - 221 = 0

(B²+ 17B) - (13B - 221) = 0

B(B + 17) - 13(B + 17) = 0

(B + 17) (B - 13) = 0

B + 17 = 0

B = - 17

Or

B - 13 = 0

B = 13.

From the above calculation, since B = Base

B = -17 inches Or 13 inches

The base of a parallelogram cannot be negative, hence , The Base of the Parallelogram = 13 inches.

We are told that the height of the Parallelogram is 4 times more than the Base. This was represented but the equation

B + 4 = H

Since B = 13 :

13 + 4 = H

Height(H) = 17 inches.

Therefore, The base of the Parallelogram is 13 inches while the height of the Parallelogram is 17 inches.

Answer:

A triangle has 3 sides: a, b, c satisfying inequalities below:

=> a + b > c > |a - b|

=> b + c > a > |b - c|

=> c + a > b > |c - a|

9, 15, 17 satisfy the inequalities above (you can check it easily).

Hope this helps!

:)

Answer:

original price = 105.66

Step-by-step explanation:

35% off means she pays 100-35 = 65%

original price * 65% = 68.68

Change to decimal form

original price *.65 = 68.68

Divide each side by .65

original price *.65/.65 = 68.68/ .65

original price = 105.66

Answer:

A. 24°

Step-by-step explanation:

ABC is 85° which is the whole angle. DBC is a part of ABC and is 61°. If we do 85-61=24. The answer would be 24°.

PLZ MARK BRAINLIEST!!!

If m ∠ABC=85° and m ∠DBC=61° then m  angle ABD=24°. Hence the option A is correct.

An angle is the figure formed by two sides of a figure ,  sharing a common endpoint, called the vertex of the angle.

From the given figure we can conclude that ∠ABD=∠ABC-∠DBC.

We have been given that m ∠ABC=85° and m ∠DBC=61°

∠ABC=85/m and ∠DBC=61/m

Put in the above equation

∠ABD=∠ABC-∠DBC

∠ABD=85/m-61/m

=24/m

we have been find m ∠ABD so we have to multiply 24/m by m is 24°.

Hence the value of m angle ABD=24 degrees.

Learn more about angles at https://brainly.com/question/25716982

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Answer:

|-3| - |6| = 9

| 6 - -3| = | 6+3| = 9

Step-by-step explanation:

The distance between points is given by

d = sqrt( (x2 -x1) ^2 + (y2-y1) ^2 )

Since the y coordinates are the same

d = sqrt( (x2 -x1) ^2  )

d = sqrt( x2-x1)^2)

Or the distance between the two points

The distance between them is 9 units

|-3| - |6| = 9

| 6 - -3| = | 6+3| = 9

Step-by-step explanation:

p(A|B) = p(A and B) / p(B) =(1/5) / (2/9) = 0.9

The probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . The probability that A occurs given that B occurs is 0.9.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The probability that event A occurs is 5/8

The probability that event B occurs is 2/9

The probability that events A and B both occur is 1/5.

So, The probability that A occurs given that B occurs

P(A|B) = P(A and B) / P(B)

          = (1/5) / (2/9)

          = 0.9

Learn more about probability here;

https://brainly.com/question/11234923

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Answer:

Hello! I think x= 1.6 or 1.3 in this situation

Step-by-step explanation:

The fact that the number 7 on the left quadrilateral is 6.3, and the 4's are 3.6, I have come to the conclusion that x equals either 1.6 or 1.3.

Answer:

The below is the first of paragraph in the question which is missing:

Suppose that 10 years ago you bought a home for $150,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.

$22,319.00

Step-by-step explanation:

In order to determine the portion of the original loan that has been paid off,we need to ascertain the original loan amount as below:

loan amount=purchase price of the home-down payment

purchase price  is $150,000

down-payment =10%*$150,000=$15,000

loan amount=$150,000-$15,000=$135,000

If the loan amount has reduced to $112,681,hence the loan amount paid off is the difference between the original loan amount and the balance now:

original loan paid off=$135,000-$112,681=$22,319.00  

Answer:

D.) 4

Step-by-step explanation:

the equation simplified is 4y and the coefficient of that is 4

Answer:

the answer is 4

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

on edge

Answer:

7 gallons of water were bought

Step-by-step explanation:

This question can be solved using a rule of three.

One gallon costs $1,500. How many gallons cost $10,500?

1 gallon - $1,500

x gallons - $10,500

[tex]1500x = 10500[/tex]

[tex]x = \frac{10500}{1500}[/tex]

[tex]x = 7[/tex]

7 gallons of water were bought