Answer:
There are 180 degrees in a triangle so it is 80 degrees
The woman is 6 foot tall
<h3>What is proportion?</h3>
Proportion can be defined as the mathematical comparison of two numbers.
These numbers could be numbers, elements, set or people
From the information given, we have that;
- The globe is 3 feet and casts a shadow of 8ft
- The woman cast a shadow of 16ft and is x feet tall
So,
if the globe is 3 foot tall and casts a shadow of 8ft
Then the woman is x foot tall to cast a shadow of 16ft
cross multiply
8x = 24
Make 'x' the subject
x = 48/ 8
x = 6 foot
Thus, the woman is 6 foot tall
Learn more about proportion here:
brainly.com/question/1781657
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Answer:
-18
Step-by-step explanation:
you add 12 and six together and you get 18. Then you put a negative sign in front of it
Answer
That should be it!
Step-by-step explanation:
Question 1 (Multiple Choice Worth 1 points) (04.03) The expression below shows the population of foxes in a forest after 12x years: f(x) = 50(1.05)12x Which of the following is an equivalent function? f(x) = 50(1.7959)x f(x) = 50(12.6000)x f(x) = 600(1.05)x f(x) = 4.2(1.05)x Question 2 (Multiple Choice Worth 1 points) (04.01) Which of the following best defines 3 to the power of 2 over 3? Square root of 9 Cube root of 9 Cube root of 3 Square root of 3 Question 3 (Multiple Choice Worth 1 points) (04.06) A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? f(1) = 2 and f(n) = f(n − 1) + 4; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1 f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2; n > 1 Question 4 (Multiple Choice Worth 1 points) (05.05) Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ −1? Part A Part B Part C Part D Question 5 (Multiple Choice Worth 1 points) (04.03) The number of bacteria in a sample increased by a factor of 2 every minute from 9:05 AM to 9:55 a.m.. The function below shows the number of bacteria in the sample f(x) after x minutes from 9:05 a.m.: f(x) = 10(2)x Which of the following is a reasonable domain for the function? 0 ≤ x ≤ 10 5 ≤ x ≤ 55 0 ≤ x ≤ 50 All positive integers Question 6 (Multiple Choice Worth 1 points) (03.05) The graph below shows the velocity f(t) of a runner during a certain time interval: graph of line going through ordered pairs 0, 2 and 6, 8. Graph of another line through ordered pairs 6, 8 and 8, 0. Label on the x axis is time in second and label on the y axis is velocity in meters per second Which of the following describes the intercepts on the graph? The initial velocity of the runner was 8 m/s, and the runner stopped after 2 seconds. The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds. The initial acceleration of the runner was 8 m/s2, and the runner stopped after 2 seconds. The initial acceleration of the runner was 2 m/s2, and the runner stopped after 8 seconds. Question 7 (Multiple Choice Worth 1 points) (03.03) Choose the equation that represents the graph below: Graph of a line passing through points negative 3 comma 0 and 0 comma 3 y = x − 3 y = −x + 3 y = −x − 3 y = x + 3 Question 8 (Multiple Choice Worth 1 points) (04.03) Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f(x) remaining in the bottle after x days? graph of function f of x equals 30 multiplied by 0.88 to the power of x graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis graph of function f of x equals 50 multiplied by 0.82 to the power of x graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
Answer:
Step-by-step explanation:
Yo when you get these kind of questions you can use desmos calculator, for the future.
