Answer:
c
Step-by-step explanation:
Answer:
(2+10) – (4x – 35) = 90
Step-by-step explanation:
Lines a and b intersect at point U as shown in the diagram below, U (x+10) (4x-35) R. T Which equation can be used to calculate the measure of _QUR? O O (4.1 – 35) + (23 + 10) 180 RES G OB (22+ 10) = (4x – 35) O c
Answer:
26.2655 miles
Step-by-step explanation:
Whenever possible, draw a diagram. I've attached a picture of the balloon and the lines of depression (not drawn to scale, of course).
As you can see, the angles of depression form alternate interior angles with the ground (angles of elevation). So these angles are also 13° and 39°.
We can use the tangents of these angles to find the base lengths of the two triangles that are formed.
tan 13° = 4 / a
a = 4 / tan 13°
tan 39° = 4 / b
b = 4 / tan 39°
So the total distance is:
a + b
= 4 / tan 13° + 4 / tan 39°
≈ 22.2655
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (2, 1)
Point (6, 7)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [√Radical] (Parenthesis) Subtract:
- [√Radical] Evaluate exponents:
- [√Radical] Add:
- [√Radical] Simplify:
Answer:
99 marbles
Step-by-step explanation:
Let number of marbles with Alex be
Leanne has 1/2 as many marbles as Alex.
So,
Number of marbles with Leanne =
Number of marbles with Joachim =
Also, Alex has 36 more marbles than Joachim.
So,
Number of marbles with Alex = 36 + Number of marbles with Joachim
=
So,
So,
Number of marbles with Alex = 54
Number of marbles with Leanne =
Number of marbles with Joachim =
Total number of marbles =