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Sedbober [7]
3 years ago
10

CD is an altitude of ACB. What is the length of AD? ОА. 10 ОВ. 20 OC. 12 OD. 11

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Answer:

D. 11

CD is half the length of DB

Triangle ACD must be proportional to Triangle BCD

AD must be half the length of CD

Therefor, your answer is 11.

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Rishan is building a number 3091 using Place-value blocks. There are no thousands block. How many hundreds blocks can he use ins
satela [25.4K]

Given:

The number is 3091.

To find:

The number of hundreds blocks if there are no thousands block.

Solution:

The given number is 3091.

It can be written as:

3091=3000+0+90+1

3091=3\times 1000+0\times 100+9\times 10+1\times 1

3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones

There are no thousands block. So,

3000=30\times 100

3000=30\ Hundreds

Therefore, the number of hundreds blocks in 3091 is 30.

7 0
3 years ago
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.
Irina-Kira [14]
<span><span>The average rate of change formula is basically the slope formula, where you plug in: f(b)-f(a)/b-a. Then plug in the numbers. [f(0)=1,f(3)=7)]. So, 7-1/3-0. 6/3 is 2 so the average rate of change is 2. And that makes sense because the average rate of change is always the slope, and the slope is 2.</span></span>
3 0
3 years ago
What is the area of the triangular base?
Ludmilka [50]

Answer:

90cm2

Step-by-step explanation:

1/2x base x height.

1/2 x10 x 18

90cm2

4 0
2 years ago
lisa is painting a fence that is 26 feet long and 7 feet tall. a gallon of paint will cover 350 aquare feet. write and slove a p
vaieri [72.5K]
The fence is 26*7=182 square feet. 1 gallon is enough for 350 square feet  and x for 182 square feet. => x=182/350=0.52 gallons. I hope I'm right.
4 0
3 years ago
A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra
S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

                          Compounds money quarterly

                          Double your money in 10 years

Step:1

              Formula to calculate future investment with compounded quarterly,

                                                        A =P(1+\frac{r}{n} )^{nt}...............................(1)

              Where, A - Future amount

                           P - Initial investment\

                            r - Rate of interest

                            n - No. of compounding in a year

                             t - No. of years

Step:2

               Let, P = X

                      A = 2X ( Double your money )

              From given, n - 4 ( for compounding quarterly )

                                    t - 10 years

               From equation (1)

                                                        2X =X(1+\frac{r}{4} )^{(4)(10)}

                                                         \frac{2X}{X}  =(1+\frac{r}{4} )^{(4)(10)}

                                                            2  =(1+\frac{r}{4} )^{40}

          Take root 40^{th} root on both side,

                                                         \sqrt[40]{2} = (1+\frac{r}{4} )

                                            1.017479692 = (\frac{4+r}{4} )

                                     (1.017479692)(4) = (r+4)

                                                  4.06992=(r+4)

                                                              r = 4.06992 -4

                                                              r =( 0.06992)(100)

                                                              r = 6.992 %

Result:

             The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0
3 years ago
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