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4 years ago

The tree in Laura's backyard is 7.5m high. How high is it in centimeters?

Mathematics

1 answer:

vova2212 [387]4 years ago

8 0

Answer:

750cm

7m = 700cm 0.5m = 50cm

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Evaluate 3p+2q. when p=3 and ———— 2 q=5

nataly862011 [7]

Answer:

the answer to this problem 19

3 0

3 years ago

Solve for x. ax+bx=21

Tanzania [10]

Ax + bx = 21

factor out x

x(a + b) = 21
x = 21/(a+b)

5 0

4 years ago

Read 2 more answers

Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Sal

Sever21 [200]

ANSWER

The explicit rule is

$f(n) = 45+9n$

EXPLANATION

The given sequence is :

54,63,72,81,...

The first term of this sequence is

$a = 54$

The common difference is

$d =63 - 54 = 9$

The explicit rule is given by:

$f(n) = a + d(n - 1)$ $f(n) = 54+9(n -1 )$

We expand to get:

$f(n) = 54+9n -9$

$f(n) = 45+9n$

None of them is correct .

8 0

4 years ago

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

Vikentia [17]

Answer: 15

Step-by-step explanation:

varies directly means: $\frac{y}{x} = k$

Plug in the given values of x and y to solve for k: $\frac{21}{3} = k$ → 7 = k

Next, plug in the k-value of 7 and the given y value of 105 to solve for x:

$\frac{105}{x} = 7$

$\frac{105}{x}(\frac{x}{7}) = 7(\frac{x}{7})$

$\frac{105}{7} = x$

15 = x

6 0

3 years ago

Four grey polygons join together as shown in the diagram. I’ve calculated angle a but I don’t know angle b. Angle a is 108

mr Goodwill [35]

Answer:

Part 1) $a=108^o$

Part 2) $b=24^o$

Step-by-step explanation:

Part 1) Find the measure of angle a

we know that

The formula to calculate the measure of the interior angle of a regular polygon is equal to

$\frac{180^o(n-2)}{n}$

where

n is the number of sides of the regular polygon

For the regular pentagon in the figure

n=5

substitute in the formula

$a=\frac{180^o(5-2)}{5}$

$a=\frac{180^o(3)}{5}$

$a=108^o$

Part 2) Find the measure of angle b

Remember that a regular polygon has equal sides and equal interior angles

In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon

therefore

The triangle in white of the figure is an isosceles triangle

The measure of the vertex angle of the isosceles triangle is equal to

$360^o-(108^o+60^o+60^o)=132^o$

Remember that

The sum of the interior angles of triangle must be equal to 180 degrees

$2b+132^o=180^o$

solve for b

$2b=180^o-132^o$

$2b=48^o$

$b=24^o$

7 0

3 years ago