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2 years ago

Represent the number 1.16 using base ten blocks

Mathematics

1 answer:

Sophie [7]2 years ago

5 0

1 10 block, and 16 little blocks

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Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles a

masha68 [24]

Diameter of the bigger semi-circle is 15 m
circumference of the bigger semi-circle = πd = 15π

diameter of the smaller semi-circle = 15 - 2(1.25) = 15 - 2.5 = 12.5 m
circumference of the smaller semi-circle = πd = 12.5π m

Total length of the segments between the two circles = 11(1.25) = 13.75 m

Total length of wrought iron used = 15π + 12.5π + 13.75 = 100 m

7 0

3 years ago

Read 2 more answers

What expression is equivalent to -9(-5z-2)-7

trapecia [35]

Answer: 45z + 11

Explanation:

-9(-5z - 2) - 7
= 45z + 18 - 7
= 45z + 11

4 0

3 years ago

What is the rule for this table?

Alexandra [31]

Your answer is
+6 input
+2 output

4 0

2 years ago

the price of a lamp is $18.50 cents the sales tax is 4% which is the total price including the sales tax?

Semenov [28]

Answer:

The answer is $19.24

Step-by-step explanation:

$18.50/100

0.185 = 1%

0.185 x 4 = 0.74

18.50 + 0.74 = $19.24

7 0

2 years ago

(3-4i)(6i+7)-(2-3i)

Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

$\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}$

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

$\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}$

Now combine like terms.

$\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}$

Imaginary Unit

$\displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 }$

Therefore:-

$\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}$

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

$\displaystyle \large{- 10i+ 45 - (2 - 3i)} \\ \displaystyle \large{- 10i+ 45 - 2 + 3i}$

Combine like terms.

$\displaystyle \large{43 - 7i}$

5 0

2 years ago