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3 years ago

Classify the triangle as acute, right, or obtuse.

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Acute because all angles are less than 90 degrees

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Write the quadratic equation whose roots are -3 and 3 and whose leading coefficient is 5. (Use the letter x to represent the var

Bumek [7]

A(x - x₁)(x - x₂) = 0
a=5, x₁=-3, x₂ = 3

so:
5(x-(-3))(x-3)=0
5(x+3)(x-3)=0
5(x²-9) = 0
5x² - 45 = 0 ← answer

4 0

4 years ago

An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.

____ [38]

Earlier, The length of the angelfish = $1 \frac{1}{2}$ inches

Now, the length of angelfish = $2 \frac{1}{3}$ inches

We have to determine the grown length of angelfish

= $2 \frac{1}{3}$ - $1 \frac{1}{2}$

= $\frac{7}{3}- \frac{3}{2}$

LCM of '2' and '3' is '6',

= $\frac{14-9}{6}$

= $\frac{5}{6}$ inch

Therefore, the angelfish has grown by $\frac{5}{6}$ inch.

We have to determine the increased length of angelfish in feet.

Since $1 inch = \frac{1}{12}$ foot

So, $\frac{5}{6} inch = \frac{5}{6} \times \frac{1}{12} = \frac{5}{72}$

= 0.069 foot.

7 0

3 years ago

Read 2 more answers

32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?

allochka39001 [22]

Answer:

57.4g

Step-by-step explanation:

32.8g of sugar is needed to make 4 cakes. How much sugar is needed for 7 cakes?

From the above questions, we know that:

4 cakes = 32.8g

7 cakes = x g

Cross Multiply

4 × xg = 7 × 32.8g

x = 7 × 32.8g/4

x = 57.4 g

Therefore, 57.4g is needed for 7 cakes

6 0

3 years ago

Gary used candle molds, as shown, to make candles that were perfect cylinders and spheres:What is the approximate difference in

Nikolay [14]

The correct answer is 16.7

Hope this helped :)

6 0

3 years ago

Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth

Alika [10]

Answer:

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Step-by-step explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

Ingredients for each piece of cake = $5

We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.

framing in equation form we get;

$10x =10+5x$

Now Subtracting both side by '5x' using Subtraction property we get;

$10-5x=10+5x-5x\\\\5x=10$

Now Dividing both side by 5 we get;

$\frac{5x}{5}=\frac{10}{5}\\\\x=2$

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.

7 0

3 years ago