Evaluate cos 17x/6 ill give brainlist

Find the measurement of both complementary angles, if the measurement of the first one is 40° less than the measurement of the o

netineya [11]

90 - 40 = 50

Complementary angles add up to 90 degrees.

If one angle is 40 degrees less than the other, you just put it into an equation where 40 is subtracted from 90.

The answer would then be 50 degrees.

3 0

2 years ago

Let f(x)=x^2+17x+72 What are the zeros of the function?

densk [106]

Answer:

The zeros of the given function $f(x)=x^2+17x+72$ is $\left(x+8\right)\left(x+9\right)$ are -8 and -9.

Step-by-step explanation:

Given : Function $f(x)=x^2+17x+72$

We have to find the zeros of the functions.

Consider the given Function $f(x)=x^2+17x+72$

Since, we have to find the zeros of the given functions.

Put f(x) = 0

Thus, $x^2+17x+72=0$

We can solve the given equation using middle term splitting method.

17x can be written as 8x + 9x

$x^2+17x+72=0$ can be written as $x^2+8x+9x+72=0$

Taking x common from first two term and 9 common from last two terms, we have,

$x(x+8)+9(x+8)=0$

Simplify, we have,

$\left(x+8\right)=0$ or $(x+9\right)=0$

x = -8 and x = -9

Apply zero product rule, $a\cdot b= 0 \Rightarrow a=0 \ or \ b=0$

$\left(x+8\right)\left(x+9\right)=0$

Thus, The zero of the given function $f(x)=x^2+17x+72$ is $\left(x+8\right)\left(x+9\right)$ are -8 and -9.

3 0

2 years ago

Solve this problem. A florist sells holiday bouquets that use roses and carnations in a ratio of 2 to 7. She receives a shipment

DIA [1.3K]

Let roses be R and carnations be C

"in a ratio of 2 to 7" means that the ratio of R to C is 2 to 7, meaning you'll have to cross multiply to translate it algebraically

$R:C\\2:7\\7R=2C\\$

since C = 343 we plug 343 in $7R=2C$ :

$7R=2(343)\\7R=686\\R=\frac{686}{7} \\R=98$

ergo, she needs 98 roses

to make sure of the answer:

"ratio of 2 to 7" is technically a fraction => $\frac{2}{7}$

and since the ratio of the roses to the carnations is the same as $\frac{2}{7}$ we plug the values R = 98 and C=343:

$\frac{R}{C}=\frac{98}{343}=\frac{2}{7}$

check with calculator too, hope i helped <33

6 0

2 years ago

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real n

LuckyWell [14K]

Answer:

The domain is all real numbers. The range is {y|y ≤ 16}

Step-by-step explanation:

we have

$f(x)=-x^{2}-2x+15$

This is a the equation of a vertical parabola open downward

The vertex is a maximum

The vertex is the point (-1,16)

see the attached figure

therefore

The domain of the function is all real numbers ----> interval (-∞,∞)

Te range of the function is

$y\leq 16$

All real numbers less than or equal to 16 ----> interval (-∞,16]

3 0

3 years ago

Read 2 more answers

In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. If the the flagpole is 18 ft tall, how tall

xxTIMURxx [149]

Answer: 78.8 ft

Step-by-step explanation:

Similar triangles have proportional sides.

$\dfrac{\text{building shadow}}{\text{building height}}=\dfrac{\text{flagpole shadow}}{\text{flagpole height}}\\\\\\\dfrac{35}{\text{building height}}=\dfrac{8}{18}\\\\\\\dfrac{35\times 18}{8}=\text{building height}\\\\\\\dfrac{35\times 9}{4}=\text{building height}\\\\\\\dfrac{315}{4}=\text{building height}\\\\\\\boxed{78.75=\text{building height}}$

3 0

2 years ago