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3 years ago

How do I find the measure of angle 1 and 2

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.

Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)

∠1 = ∠2 = 117°

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Find the equation of the exponential function represented by the table below

Softa [21]

Answer:

$y=4(4)^x$

Step-by-step explanation:

Exponential functions are represented in the form $y=a(b)^x$ , where a is the initial value and b is the multiplier.

Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.

Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.

So, we now have all the needed variables, so we plug them into the formula

$y=a(b)^x$

8 0

3 years ago

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the

Lelu [443]

Answer:

The reasonable domain to plot the growth function is the interval [0,9]

$0\ days\leq d\leq 9\ days$

Step-by-step explanation:

In this problem we have a exponential function of the form

$f(d)=a(b^d)$

where

f(d) is the radius of the algae in mm

d is the number of days

a is the initial value or y-intercept

b is the base

r is the rate of growth

b=1+r

we have

$a=9\ mm\\b=1.04\\r=1.04-1=0.04=4\%$

we have

$f(d)=9(1.04^d)$

For f(d)=12.81 mm

substitute in the function and solve for d

$12.81=9(1.04^d)$

$(12.81/9)=(1.04^d)$

Apply log both sides

$log(12.81/9)=log(1.04^d)$

$log(12.81/9)=(d)log(1.04)$

$d=log(12.81/9)/log(1.04)$

$d=9\ days$

therefore

The reasonable domain to plot the growth function is the interval [0,9]

$0\ days\leq d\leq 9\ days$

4 0

4 years ago

Using the order of operations, what should be done first to evaluate 6 squared + 10 divided by (negative 5) (3) minus 5?

RSB [31]

6^2 + 10 divide by (-5) (3) - 5
evaluate 6 squared
bedmas
brackets exponents division multiplication addition subtraction

7 0

3 years ago

Read 2 more answers

I need information on rubix cubes and concentration

Angelina_Jolie [31]

Ubik's Cube is a 3 D combinations puzzle invented in 1974 by Hungarian sculptor and professors of architectures Ernő Rubyik. Originally called the Magic Cube,the puzzle was licensed by Rubik to be sold by Ideal Toy Corporation. in 1980 via businessman Tibor Laczi and Seven Towns founder Tom Kremer,and won the German game of the year special award for Best Puzzle that year. As of January 2009, 350 million cubes had been sold worldwide making it the world's top-selling puzzle game.It is widely considered to be the world's best-selling toy.

to play this game and to learn you need a lot of concentration and practice !

5 0

4 years ago

Find the missing dimension of the cone. Round your answer to the nearest tenth. Volume = 3.6 in.³ An ice cream cone is shown. It

Anit [1.1K]

Answer:

0.905 in

Step-by-step explanation:

Parameters given:

Volume of cone, V = 3.6 in³

Height of cone, h = 4.2 in

Although the diagram is not shown, this problem can be solved.

The volume of a cone is given as:

V = ⅓ * π * r² * h

r is the radius of the base of the cone

We can find r.

3.6 = ⅓ * π * r² * 4.2

3.6 = 4.399 * r²

=> r² = 3.6 / 4.399

r² = 0.8184

=> r = 0.905 in

The radius of the base of the cone is 0.905 in.

6 0

4 years ago