If the angle of an isosceles triangle at the top of the triangle is 70 degrees, then what is the measure of the other two angles if they must be equal.

Answer:

h =12

Step-by-step explanation:

[tex]In\: \triangle ABC, \: \angle ABC = 90\degree \: \&\:\\ BD\perp AC[/tex]

Therefore, by geometric mean property:

[tex]BD = \sqrt {AD\times CD} \\

h = \sqrt {(AC-CD) \times CD} \\

h = \sqrt {(25-16) \times 16} \\

h = \sqrt {9 \times 16} \\

h = \sqrt {144} \\

\huge \red {\boxed {h = 12}} \\

[/tex]

Answer:

Step-by-step explanation:

12

Step-by-step explanation:

8 cups total a day

1 bottle holds 2 cups (Celeste drinks 4 bottles a day = 8 cups) 

If she drank 1.5 bottles already, she needs to drink 2.5 bottles 

Let x be the number of bottles she needs to drink to have at least 8 cups 

The inequality is x >= 2.5 bottles

Answer:

Step-by-step explanation:

The fraction will represent the number of shaded squares over the total number of squares. You have correctly identified it as 98/100. That fraction can be reduced, if you like, to 49/50.

The pronunciation of your fraction is "ninety-eight hundredths." The decimal number with that same pronunciation is 0.98.

The symbol % and the symbol /100 have identical meaning. This makes them essentially interchangeable.

  98/100 = 98%

Your numbers are ...

  98/100 (or 49/50), 0.98, and 98%.

_____

Additional comment

We have shown you that % is a shorthand way to write /100. There is another similar symbol: ‰ is shorthand for /1000.

1/100 is one percent. 1/1000 is one mil.

for A (xa ; ya) and B (xb ; yb)

the slope is (yb - ya) / (xb - xa)

here :

slope = - 3/4 = (4 - r) / (-3 - (-7))

(4 - r) / 4 = - 3/4

so 4 - r = - 3

then r = 7

check

points (-7 ; 7) and (-3 ; 4)

slope = (4 - 7) / (-3 - (-7) = -3/4

Answer:

y(x) = 1/2 (x - sqrt(5 x^2 + c_1)) or y(x) = 1/2 (x + sqrt(5 x^2 + c_1))

Step-by-step explanation:

Solve 2 x + y(x) + (dy(x))/(dx) (x - 2 y(x)) = 0:

Let P(x, y) = 2 x + y and Q(x, y) = x - 2 y.

This is an exact equation, because (dP(x, y))/(dy) = 1 = (dQ(x, y))/(dx).

Define f(x, y) such that (df(x, y))/(dx) = P(x, y) and (df(x, y))/(dy) = Q(x, y).

Then, the solution will be given by f(x, y) = c_1, where c_1 is an arbitrary constant.

Integrate (df(x, y))/(dx) with respect to x in order to find f(x, y):

f(x, y) = integral(2 x + y) dx = x^2 + x y + g(y) where g(y) is an arbitrary function of y.

Differentiate f(x, y) with respect to y in order to find g(y):

(df(x, y))/(dy) = d/(dy) (x^2 + y x + g(y)) = x + (dg(y))/(dy)

Substitute into (df(x, y))/(dy) = Q(x, y):

x + (dg(y))/(dy) = x - 2 y

Solve for (dg(y))/(dy):

(dg(y))/(dy) = -2 y

Integrate (dg(y))/(dy) with respect to y:

g(y) = integral-2 y dy = -y^2

Substitute g(y) into f(x, y):

f(x, y) = x^2 - y^2 + y x

The solution is f(x, y) = c_1:

x^2 - y^2 + y x = c_1

Solve for y:

y(x) = 1/2 (x - sqrt(5 x^2 - 4 c_1)) or y(x) = 1/2 (x + sqrt(5 x^2 - 4 c_1))

Simplify the arbitrary constants:

Answer:  y(x) = 1/2 (x - sqrt(5 x^2 + c_1)) or y(x) = 1/2 (x + sqrt(5 x^2 + c_1))

Answer:

4 1/3 feet

Step-by-step explanation:

11 3/8 - 3 1/8 = 8 2/3

8 2/3 / 2 = 4 1/3

Using translation concepts, it is found that a 90º clockwise rotation of the triangle around the origin took place.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, considering the points on triangles ABC and A'B'C', the change is modeled by:

(x,y) -> (y, -x).

Which is a 90º clockwise rotation of the triangle around the origin.

More can be learned about translation concepts at https://brainly.com/question/4521517

That's the question????

Answer:

Length = 8

Breadth = 12

Step-by-step explanation:

Since Area = length * breadth

96 = (x+2)(x-2)

Since (a+b)(a-b) = a^2-b^2

(x+2)(x-2) = x^2-4

Therefore

x^2-4 = 96

x^2 = 100

x = +-10

Since x > 0

x = 10

Answer:

9. is true

10. is false

hope this helps

Step-by-step explanation:

Step-by-step explanation:

9 is true and 10 is true as well

Answer:

1/9

Step-by-step explanation:

First turn all the negative exponents into positive by flipping the fractions then plug in the given values.

(3/1)^2 * (1/x)^4 * y^2

Simplify to:

9 * 1/(x^4) * y^2

Plug in:

9 * 1/(3^4) * -1^2

Simplify:

9 * 1 * 1/(3^4) = 9/(3^4) = 9/81 = 1/9

9514 1404 393

Answer:

  18 weeks

Step-by-step explanation:

We are given the (time, population) pairs (0, 5) and (7, 47). With these values, we can use the two-point form of the equation of a line to write the equation of the linear model.

  p = (p2 -p1)/(t2 -t1)(t -t1) +p1

  p = (47 -5)/(7 -0)(t -0) +5

  p = 6t +5 . . . . . the linear model matching the given points.

For p = 113, the time (number of weeks) is ...

  113 = 6t +5

  108 = 6t . . . . . . subtract 5

  18 = t . . . . . . . . . divide by 6

After 18 weeks, the beetle population will reach 113.

Answer:

B

Step-by-step explanation:

First, you want to find the area of the entire thing first.

The length adds up to 14, the width to 10. Multiply and you get 140 as the total area.

Now to get rid of the flower bed is simple, 8 Multiply to 3 which makes 24, then divide by 2 which is 12. Substract 12 to 140 and you get 128.

The formula for a trapezoid is Area= (base1 +base2)/2 times height. Following this, and 5 and 7 which gets 12. divide 12 to 2 and you get 6. 6 times 10 is 60.

Subtract 60 to 128 and you get 68.

Mark best if possible please.

Answer:

Step-by-step explanation:

First, you want to find the area of the entire thing first.

The length adds up to 14, the width to 10. Multiply and you get 140 as the total area.

Now to get rid of the flower bed is simple, 8 Multiply to 3 which makes 24, then divide by 2 which is 12. Substract 12 to 140 and you get 128.

The formula for a trapezoid is Area= (base1 +base2)/2 times height. Following this, and 5 and 7 which gets 12. divide 12 to 2 and you get 6. 6 times 10 is 60.

Subtract 60 to 128 and you get 68.

.

Answer:

Step-by-step explanation:

3.9

To find the slope, we must know the equation

 --> [tex]slope = \frac{y2-y1}{x2-x1}\\[/tex]

Now using the information given, (-2,1) and (2,6), let's plug that into the equation

--> [tex]slope = \frac{6-1}{2--2} = \frac{5}{4}[/tex]

In this case, the slope is 5/4

Hope that helped!

Answer:

[tex]\rn\hookrightarrow 5/4[/tex]

Step-by-step explanation:

[tex]Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}[/tex]

80 >= -8(w-8)

Use distributive property:

80 >= -8w + 64

Subtract 64 from both sides:

16 >= -8w

Divide both sides by -8:

-2 >= w

Because the division was done using a negative value the inequality gets reversed:

w >= -2

Answer : w >= -2

Answer:

26 inches

Step-by-step explanation:

You need to add 3+5+7+7+4= 26 because you need to find the area of the figure which the inches are area to add and get how many inches in the figure. Sorry if you don't get it but the answer is 26 inches.

Answer:

$17

Step-by-step explanation:

So first

The total money John have is $20

then he earned $5 which means $20+$5 = $25

After that he spent $10 = $25- $10 = $15

Again earned $5 = $15+$5=$20

At last spent $3 = $20-$3=$17

Hence the total money he owe or have left is $17

Answer:

I need to know the equation, but if you have to cube them then you will find your answer right away if you google how to cube numbers.

Step-by-step explanation:

Sorry for the bad answer.

Answer:

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

Step-by-step explanation:

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

SO WE HAVE THE SYSTEM:

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

To know more about an expression follow

https://brainly.com/question/17277463

#SPJ2

Answer:

1664 cards

Step-by-step explanation:

416 divided by 8 is 52 and 52 times 32 is 1664.

The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world.

In this question we must use definition of geometric progression to predict initial height ([tex]h_{o}[/tex]), in meters, in terms of current height ([tex]h[/tex]), in meters, and number of bounces experimented by the ball ([tex]n[/tex]). The expression is described below:

[tex]h = h_{o}\cdot \left(\frac{1}{2} \right)^{n}[/tex]   (1)

If we know that [tex]n = 10[/tex] and [tex]h = 1\,m[/tex], then the initial height is:

[tex]1 = h_{o}\cdot \left(\frac{1}{2} \right)^{10}[/tex]

[tex]h_{o} = 2^{10}[/tex]

[tex]h_{o} = 1024\,m[/tex]

The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world. [tex]\blacksquare[/tex]

The statement is incomplete, complete form is shown below:

A ball falls from the roof of a building and bounces half as high each time. How tall would a building have to be if, after hitting the ground ten times, the ball bounces to 1 meter? Is there a building this tall?

To learn more on geometric series, we kindly invite to check this verified question: https://brainly.com/question/15130111

Answer:

[tex]b=3[/tex]

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation.

[tex]2*(b+3)-(12)=0[/tex]

Then solve!

Answer:

all real numbers.

Step-by-step explanation:

9x - 8y = 1

18x - 16y = 2

if you look at the first equation, you can figure out what y equals.

9x - 8y = 1

add 8y to both sides

9x = 1 + 8y

subtract 1 from both sides

9x - 1 = 8y

divide both sides by 8

[tex]\frac{9x - 1}{8}[/tex] = y

now, substitute y in the second equation.

18x - 16y = 2

18x - 16([tex]\frac{9x - 1}{8}[/tex]) = 2

18x - 2(9x - 1) = 2

18x - 18x +2 = 2

2 = 2

the answer is all real numbers, because regardless of what x equals, 2 will always equal 2.