All categories

3 years ago

DEF is a right angle ?

Mathematics

2 answers:

Solnce55 [7]3 years ago

8 0

Answer:

False

Step-by-step explanation:

Since we want to test if it is a right triangle, we can use Pythagorean Theorem

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

In the given triangle, 23 and 26 are the legs, since they are shorter sides. 42 is the hypotenuse, since it is the longest side.

Therefore, a is 23, b is 26 and c is 42. Substitute these values into the equation

23^2+26^2=42^2

Evaluate the exponents

529+676=1764

Add 529 and 676

1205=1764

This statement is not true, 1205 is not equal to 1764. Therefore this is not a right triangle.

Maurinko [17]3 years ago

4 0

Yes, DEF is a right triangle.

You might be interested in

Can someone help me with this question?

horsena [70]

Answer:

T,F,F,F ?

Step-by-step explanation:

3 0

3 years ago

The Gwinnett Diner bought 44,000 plastic spoons for To-Go orders. If

jek_recluse [69]

Answer:

110 packages

Step-by-step explanation:

we just do 44,000 ÷ 400. to proof check, do 110 (your answer) × 400. it equals 44,000 so we know its right

5 0

3 years ago

function g is a transformation of the parent exponential function f(x)=x^2. the graph of g is a translation right 5 and up 1 uni

adell [148]

The equation of g in the form y = ax² + bx +c is g(x) = x² - 10x + 26

What is a function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Horizontal translation:

For a general function f(x) an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x) a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

First, we apply a translation to the right of 5 units, then at the moment we have:

g(x) = f(x - 5)

Then we translate the graph up 1 units, then:

g(x) = f(x - 5) + 1

Now we can replace it by the actual function to get:

g(x) = (x - 5)^2 + 1

= x² - 2*5*x + 25 + 1

= x² - 10x + 26

To learn more about a function from the given link

brainly.com/question/22340031

#SPJ9

4 0

1 year ago

The drawing below shows a row of grocery carts that have been " nested" together. The carts are each 32in. Long. Each cart after

creativ13 [48]

Answer:

Length of Row of n cart = 11(n-1)+32 inches

The length of row for 20 nested carts will be = 11(20-1) +32 = 209 + 32 =241 inches.

Step-by-step explanation:

The length of one cart is 32 inches.

When you nest two cart, the length of the second cart will be 11 inches, so the total length of two nested cart will be 43 inches. From the this statements we can derive the following.

Length of Row of 1 cart = (1-1)*11+ 32 =32 inches

Length of Row of 2 cart =(2- 1)*11+32 = 43 inches

Length of Row of 3 cart = (3-1)*11 +32 = 54 inches

Length of Row of 4 cart = (4-1)*11 + 32 = 65 inches

Length of Row of 5 cart = (5-1)*11+32 = 76 inches

Length of Row of 6 cart = (6-1)*11+32 = 87 inches

Length of Row of 7 cart = (7-1)*11+32 = 98 inches

Length of Row of 8 cart = (8-1)*11+32 = 109 inches

Length of Row of 9 cart = (9-1)*11+32 = 120 inches

Length of Row of 10 cart = (10-1)*11+32 = 131 inches

Length of Row of n cart = (n-1)*11 + 32 =11(n-1)+32 inches

The relationship between the length of the row and the number of carts is given as Length of Row of n cart = 11(n-1)+32 inches

where n is the number of carts

The length of row for 20 nested carts will be = 11(20-1) +32 = 209 + 32 =241 inches.

4 0

3 years ago

Mary has saved $17.50 in the past 3 weeks.at This rate , how much will she save in 15 weeks ?

Oksanka [162]

Answer:

$87.60

Step-by-step explanation:

Assuming that mary is on a fixed income rate, we can calculate that Mary is making approximately $5.84 per week.

17.50 / 3 = 5.833333.... -> 5.84

Now we multiply this number by 15 to get the amount of money she saves over this time.

5.84 * 15 = 87.6

So, we can see that Mary has saved $87.60 in 15 weeks.

3 0

3 years ago