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AURORKA [14]
2 years ago
13

A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become

Mathematics
1 answer:
svp [43]2 years ago
5 0

Answer:

A, because the cat is only 15 feet in the air and the TREE is 50 feet

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Can someone help me with my algebra homework I have 30 minutes until it's due 6 questions my insta is bahdanz
posledela

Answer:

lete try to help you my insta it's Cruzz_ and other letters

7 0
2 years ago
Find the exact length of the third side
Daniel [21]

Answer:

√23

Step-by-step explanation:

When you are given two side lengths of a right triangle, you use the Pythagorean theorem to find the third side: a² + b² = c², where c is the hypotenuse (the longest side).

All you have to do is plug the given information in:

Remember, 13 is the hypotenuse for this triangle.

12² + b² = 13²

Simplify:

144 + b² = 169

Subtract 144 from both sides:

b² = 169-144

b² = 23

Square root both sides:

b = √23

And that's your answer!

7 0
3 years ago
A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90
andre [41]

Answer:

5 \frac{5}{8} cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 \frac{1}{4} cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 \frac{1}{4} to improper fraction.

2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u>                 <u>Number of cookies</u>

 \frac{9}{4}                               36

       x                                            90

Now form a proportion.

\frac{\frac{9}{4}}{x} = \frac{36}{90}

Now let's cross multiply, we get

\frac{9}{4} *90 = 36x\\\

\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = 5 \frac{5}{8} cups

So the baker needs 5 \frac{5}{8} cups to make 90 cookies.

3 0
3 years ago
Find the value of x. Round your answer to the nearest tenth.
skad [1K]

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

tan (/theta) = \frac{Opp}{Adj}

Plug in the values

tan 68 = \frac{24}{x}

Multiply both sides by x

x*tan 68 = 24

Divide both sides by tan 68

x = \frac{24}{tan 68}

x = 9.69662942

x = 9.7 (nearest tenth)

8 0
3 years ago
Help please I need 5 points total. i need 2 to left of vertex. i need vertex. i need 2 to right of vertex. Please, quickly, I am
zlopas [31]

We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>

Now , Calculating D ;

{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}

{:\implies \quad \sf D=100-108}

{:\implies \quad \bf \therefore \quad D=-8}

Now , Calculating the vertex ;

{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}

{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}

{:\implies \quad \bf \therefore \quad Vertex = (5,2)}

Hence , The vertex of the parabola is at (5,2)

Note :- As the Discriminant < 0 . So , the equation will have imaginary roots .

Refer to the attachment for the graph as well .

5 0
2 years ago
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