Answer: 260-100x
Step-by-step explanation:
Answer:
The tree is 37.5 ft tall.
Step-by-step explanation:
First, draw the tree and the ground and the line of the shadow forming a right triangle.
Draw a vertical segment on the left side of your paper about 1 inch long. Label the bottom point C and the top point A. Now from C draw a horizontal segment to the right about twice the length of vertical segment AC. Label the right endpoint of the new segment B. Now connect B and A. The vertical segment AC is the tree. Segment CB is the shadow cast by the tree on the ground. Angle C is a right angle, 90 deg. Angle B measures 32 deg. Segment CB has length 60 ft. Now we start with trigonometry.
Now we deal with triangle ABC. For the known angle B (given as 32 deg), side BC is the adjacent leg, side AC is the opposite leg, and side AB is the hypotenuse. We know the length of the shadow, which is adjacent leg BC, and it is 60 ft. We want to know side AC, which is the height of the tree and the opposite leg.
Known: measure of angle B = 32 deg
Known: adjacent leg BC = 60 ft
Find: length of opposite leg AC
The trig ratio that relates the opposite and adjacent legs is the tangent.
tan B = opp/adj
tan 32 = AC/60
AC = 60 * tan 32
AC = 37.5
Answer: The tree is 37.5 ft tall.
Answer:
given,triangle EFG is congruent to triangle HIJ,THEIR corresponding sides are equal,
so, 10x=x+45
10x_x=45
or,9x=45
therefore , x=5
again,
3y = y+14
or, 3y_y=14
or, y=14/2
therefore the value of y is 7.
so the value of x is 5 and y is 7.
hope its helpful to uh...
Answer:The number of text messages sent by his sister=162
Step-by-step explanation:
Step 1
The ratio of number of text messages sent by Lucas to the number of text messages sent by his sister =4 to 9= 4:9
Number of text messages sent by Lucas =72
Total ratio is given as 4+ 9= 13
Step 2
such that the total number of messages sent by Lucas and by his sister will be calculated as
Ratio of text messages sent by Lucas/ total ratio x Total messages = Number of text messages sent by Lucas . Let X = Total number of messages
4/13 x X = 72
X=72 x 13 / 4 =234
Therefore, The number of text messages sent by his sister= ratio of text messages sent by his sister/ Total ratio x Total number of messages =
9/13 X 234= 162 messages
Answer:
Step-by-step explanation:
Hi there!
Our goal is to isolate <em>v</em> on one side of the equal sign.
Subtract <em>u</em> from both sides:
Add <em>t</em> to both sides to isolate <em>v</em>:
I hope this helps!