Use the diagram to prove that ∆CAS≅TAS.

Answer:

A. 2.243994753

B. 1.396263402

C. 2.692793703

D. 2.094395102

E. 1.745329252

Answer:

D

Step-by-step explanation:

Remark

This is an incredibly beautiful problem! It is solved mostly by algebra. r = 1 and the height will therefore be 2

Equations

l^2 + r^2 = l^2

l is the slant height.

Solution

SA = π * l * r + π r² = π(1 + √5)          Divide both sides by π

Find l

l * r + r^2 = 1 + √5

l^2 = r^2  + h^2

l^2 = r^2 + (2r)^2

l^2 = 5r^2

l = √5 * r

Now go back to this equation to find r

l * r + r^2 = 1 + √5                               Substitute the value for l

√5 r * r + r^2 = 1 + √5                         On the left pull out r^2

r^2 (1 + √5) = 1 + √5                            Divide by 1 + √5

r^2 = 1                                                  Take the square root on both sides

sqrt(r^2) = sqrt(1)

r =1

Therefore h = 2

Volume of the cone.

V = 1/3 * π r² h

V = 1/3 * π 1² 2

V = 2/3 * pi

D

Answer: It may possibly be SU

Step-by-step explanation:

Answer:

SU

Step-by-step explanation:

The triangles are reflections of each other (the same but mirrored).

So if you trace a line from point D to F, and do the mirrored motion on the other triangle, you get SU

Answer:

i think shell pay 24$ between 3 and 4pm

and an additional $12

Step-by-step explanation:

sorry if this is wrong:(

Answer:

5

Step-by-step explanation:

3 1/8 : 8 x 3=25 new fraction

25/8 x 8/5 you have to do kcf Keep Change Flip

and then multiply

8x5=40 25x8=200 simply by 40

5/1= 5 hope it helped im not the best :)  

Answer:

x<1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:x<1

Step-by-step explanation:

Answer:

the answer is the option B

b(x) has the highest value in  years; b(x) has the highest value in  years

Step-by-step explanation:

x------> the time in years

b(x)----> the value in dollars of a saving account

c(x)----> the value in dollars of another account

we know that

Step 1

Find the value of each account for

so

----> b(x) has the highest value in  years

Step 2

Find the value of each account for

so

----> b(x) has the highest value in  years

Answer:

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6[/tex]

Step-by-step explanation:

Rationalizing the Denominator

Rationalizing the denominator means to get rid of any radicals in the denominator.

We use the conjugate of the denominator to rationalize. The conjugate of a binomial is obtained by changing the sign that is between the two terms while keeping the same order of the terms. For example, the conjugate of

[tex]\sqrt{7}-2[/tex] is [tex]\sqrt{7}+2[/tex].

We need to use the algebraic identity:

[tex](a-b)(a+b)=a^2-b^2[/tex]

Let's rationalize

[tex]\displaystyle \frac{9}{\sqrt{7}-2}[/tex]

Multiply numerator and denominator by the conjugate of the denominator:

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9}{\sqrt{7}-2}\cdot\frac{\sqrt{7}+2}{\sqrt{7}+2}[/tex]

Operate in the numerator and apply the identity in the denominator

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{(\sqrt{7})^2-2^2}[/tex]

[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{7-4}=\frac{9\sqrt{7}+18}{3}[/tex]

Dividing:

[tex]\boxed{\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6}[/tex]

The statement supported the graph is

The axis of symmetry is x = 3

The coordinates of the y-intercept are (0,7)

A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.

1. The axis of symmetry is x = 3

The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.

2. The coordinates of the y-intercept are (0,7)

The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.

From the graph, the coordinates of the y-intercept is (0, 7)

3. The X-intercept is located at (-3,0)

The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.

From the graph the curve x axis at x= 1.5 and x= 4.5

So, the x-intercept is truly located at (1.5, 0) and (4.5,0)

Learn more about axis of symmetry here:

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Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

Answer:

You multiply it like normal numbers. But when you do, count how many numbers are behind the decimal, say there are 2 numbers behind the decimal, once you finished multiplying the numbers you would add up all the products you got and then put the first 4 numbers you wrote behind the decimal to get the final product.

Step-by-step explanation:

Say you were multiplying 14.63 and 7.74

                   14.63

                   x 7.74                 Always starting from the right side of the equation

                   .5852                go to the left four digits and put a decimal then                  

                  ↑←←←←                just carry the decimal down and you'll  end up with  

                 10.2410              the final product

            + 102.4100                

               113.2362

Answer:

Maybe M' (3, -2)

Step-by-step explanation:

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Answer:

10/27 cups

Step-by-step explanation:

y = how much flour is needed

set up proportion of water to flour equals water to flour

[tex]\frac{3/5}{2/3}[/tex] = [tex]\frac{1/3}{y}[/tex]

cross-multiply:  3/5 y = 2/9

multiply each side by the reciprocal of 3/5

5/3 · (3/5)y = 2/9 · (5/3)

y = 10/27

Answer: 10/27 cups flour.

Step-by-step explanation:

Compare fractions 3/5 and 1/3:

[tex]\dfrac{3}{5}=\dfrac{3 \times 3}{5 \times 3} =\dfrac{9}{15} \\\\ \dfrac{1}{3}=\dfrac{1 \times 5}{3 \times 5} =\dfrac{3}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}[/tex]

1/3 is less than 3/5 because 3/15 is less than 9/15.

Find how many times 1/3 is less than 3/5:

[tex]\dfrac{3}{5} \div \dfrac{1}{3} =\dfrac{3}{5} \times \dfrac{3}{1}=\dfrac{9}{5}[/tex]

This means that flour should also be taken 9/5 times less:

[tex]\dfrac{2}{3} \div \dfrac{9}{5} =\dfrac{2}{3} \times \dfrac{5}{9} =\dfrac{10}{27}[/tex]

Answer:

2

Step-by-step explanation:

no. of apples with John= 2

no. of apple Sandy got= 1

so, no. of apple remaining with John= 2-1= 1

therefore,

altogether = 1+ 1 = 2.

hence, they have 2 apples altogether

Answer:

2

John have 2 apples and he gave 1 apple to sandy , John have 1 apple left and sandy also have 1 apple so 1+1 =2

Answer:

17

Step-by-step explanation:

follow the order of operations (PEMDAS):   half of 48 is 24

24 / 6 = 4

4 x 4 = 16

16 + 3 = 19

19 - 2 = 17

Answer:

17

Step-by-step explanation:

half of 48 is 24

24 divided by 6 is 4

4× 4= 16

16+3= 19

19-2=17

Answer:

11 : 15 am

Step-by-step explanation:

one hour before 12:30 pm is 11:30 am

15 minutes before 11:30 am is 11:15 am

Answer:

11:15

Step-by-step explanation:

To solve this question we basically have to subtract 1 hour and 15 minutes from 12:30.

  1230

- 0115

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

11:15 a.m.

So the answer would be they left for the park at 11:15 a.m.

In conclusion, Jayden and Jacques left for the park at 11.15 a.m.

plz give me brainliest :)

Answer:

h(-3)=-16

Step-by-step explanation:

here is the given function: h(x)=4x-4

h(-3) means to substitute the x in the function as -3

h(-3)=4(-3)-4

multiply

h(-3)=-12-4

combine

h(-3)=-16

so that means that h(-3)=-16

Hope this helps!

Answer:

I think #2

Step-by-step explanation:

Answer:

number b

Step-by-step explanation:

thuy should have written the ratio as 30/39

Answer:

Step-by-step explanation:

1500

Answer:

13500

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

add them all up then divide by 5

The simplified form of the given expression is 0.2x-1.5y.

The given expression is 4.2(2x-0.5y)-2(4.1x-0.3y).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows

4.2(2x-0.5y)-2(4.1x-0.3y)

= 8.4x-2.1y-8.2x+0.6y

=  8.4x- 8.2x-2.1y+0.6y

= 0.2x-1.5y

Therefore, the simplified form of the given expression is 0.2x-1.5y.

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Answer:

Letter C

Step-by-step explanation:

Answer:

The answer would be D. $1200 in the first month, $1224 in the second month, and $1248.48 in the third month

Step-by-step explanation:

Answer: 10 sq units

Step-by-step explanation:

3 + 4.5 + 0.5 + 2 = 10 sq units