Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
*1.
Given the equation, 4x + 2y = -6, (6 points) (8.EE
a. Rewrite the equation into its y-intercept form
We want to write the equation in the form
y = mx + b.
We need to solve for y.
4x + 2y = -6
Subtract 4x from both sides.
4x - 4x + 2y = -4x - 6
2y = -4x - 6
Divide both sides by 2.
2y/2 = (-4x - 6)/2
y = (-4x - 6)/2
y = -2x - 3
Done.
\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) =∣x∣ =∣x∣+1 We can think of ggg as a translated (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.
Answer:
To get the function g, shift f by 1 unit.
Step-by-step explanation:
Given
[tex]\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}[/tex]
Required
How do f(x) translates to g(x)
In terms of f(x), g(x) can be represented as:
[tex]g(x) = f(x) + k[/tex]
Where
[tex]f(x)= |x|[/tex]
and
[tex]k = 1[/tex]
This implies that f(x) is vertically shifted 1 unit up to get g(x)
Answer:
To get the function g, shift f up by 4 units and to the left by 2 units.
Step-by-step explanation:
To get the function g, shift f up by 4 units and to the left by 2 units.
that's the answer to the khan academy one
Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?
Answer:
3.66meters long
Step-by-step explanation:
since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long
happy april fools day you nerds now take my points
Answer:
WOW THANK YOU SO MUCH!
Step-by-step explanation:
I'm more of a dog lover and not a nerd, but hey I'll take what I can get!
If your like dogs, can you guess what kind of dog this is?
(yes they are all the same breed just different coat colors)
would the answer be 36?
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
Find the area of the figure. Use 3.14 for π.
Answer:
146.93 m^2
Step-by-step explanation:
1. Area of the triangle plus the area of the semicircle.
2. Triangle: b x h x .5 14 x 10 x .5= 70
3. area of semicircle: (πr^2).5 7^2 x π x .5 = 76.93
We halved the area of a circle since we have half a circle.
4. 76.93+70= 146.93
Pls help me solve 10k - 90 =m -10 *
Answer:
M = 10k - 80 and k = m/10 + 80
Step-by-step explanation:
35 POINTS!
Help plz...
Match each expression with the equivalent expanded expression. -5 (2x + 3/5) x + 1.5 0.5 (2r + 3) -20 + 3 2 (4x-2) 8x - 4 1/3 (9 +81) 30 -3 (2/3x - 1) -10x - 3
Answer:
can you give us a link
Step-by-step explanation:
28
The members of a tennis team have a goal of raising at least $500 for new equipment. They have already raised $275.
The team members plan to raise more money by washing cars. They will charge $5 for each car they wash.
Let c represent the number of cars the team members will wash. Which of the following could be used to find the least
number of cars they must wash to reach their goal?
A 5c+275 > 500
B 5c + 275 > 500
c) 5c - 275 > 500
D 50 - 275 > 500
Answer:
A 5c+ 275 > 500
Step-by-step explanation:
This my last one help
Answer:
A2 = 120
A3 = 60
A5 = 60
A6 = 120
Step-by-step explanation:
Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.
Angle 1 and 3 are vertical angles, which are always the same measure.
Angle 5 is alternate interior angles with 3, which means it is also 60.
Angle 6 is alternate interior angles with 4, which means it is 120.
In Triangle JKL, K is 3 times the measure of J, and L is 8 times the measure of J. Find the measure of each angle in Triangle JKL.
Answer: The measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Step-by-step explanation:
Let the measure of angle J be x.
Then, the measure of angle K will be 3x
and the measure of angle L = 8x
Since the sum of all angles of a triangle is 180 degrees.
Then,
angle J + angle K + angle L = 180 degrees
⇒ x+3x+8x =180
⇒ 12x = 180
⇒x = 15 [divide both sides by 12]
Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.
i.e. the measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
choosing a purple green black or silver bike having 10, 18, 21 or 24 speeds
Answer:
for me the good one is black with 18 speed
Answer:
Black with 18 speeds
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINLIEST
Answer:
1,4,5,7,9
Step-by-step explanation:
1
Answer:
Step-by-step explanation:
11, 13, 15, 17, & 19.
I had to do that problem a few years ago. :3
-Hope that helps!
(8 x 104) (4.5x 10-1) =
[tex] \tt{}(8 \times 104)(4.5 \times 10 - 1)[/tex]
[tex]\tt{}(832)(45 - 1)[/tex]
[tex]\tt{}(832)(44)[/tex]
[tex]\tt{}832 \times 44[/tex]
[tex]\tt{}36608[/tex]
if i helped 255 people and i only answered 38 questions whats my average number of people that i help per question?
Answer:
About 7 users per question
Step-by-step explanation:
Just divide the number of users helped by the number of questions answered.
Write the expression as a simplified rational expression. Show your work.
5/(1/6+1/(x+1))
Answer:
30(x+1)/x+7
Step-by-step explanation:
Cant figure it out, Help?
PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.
Answer:
25 and 13
Step-by-step explanation:
25 - 13 = 12
25 + 2 = 27
13 -10 =3
27 is 9 times larger than 3
Can I please get with the last math question??
Elww Mate..........
.........
HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2
Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest
Step-by-step explanation:
1. What relationship do you notice between the area of a 3x 3 square, 4 x 4 square, and 5x5 square?
2. What relationship do you notice between the area of a 5x 5 square, 12 x 12 square and 13x13 square?
Whoever answers these thanks!
Answer:
1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.
Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.
Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.
2) The same relationship
Step-by-step explanation:
1)
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
2)
5 x 5 = 25
12 x 12 = 144
13 x 13 = 169
PLEASE GIVE ME BRAINLESS BEEN DOING FOR 3 HOURS WILL GIVE BRAINLESS
Answer:x=24
Step-by-step explanation:
Write the name of each decimal place indicated( pls help I’m failing and don’t troll I’ll give Brianliest)
Answer:
3. A. ten thousandths
4. C. tenths
5. D. hundredths
6. C. ten thousandths
hope you have a blessed day
Step-by-step explanation:
Answer:Question 3 answer is A.
Question 4 answer is C
Question 5 answer is D
Question 6 answer is C
YOUR WELCOME
How would I solve it? I know the formula but not sure how to apply it.
5) A manufacturer produces paperweights composed of two congruent triangles as shown.
The length of the hypotenuse is
A. 6
B. 8
C. 10
The total length of the base of the paperweight is
A. 6
B. 8
C. 10
Answer:
Step-by-step explanation:
Since, both the triangles of the paperweight are congruent,
Their corresponding sides will be congruent.
3x + 2.5 = 4
3x = 4 - 2.5
x = 0.5
Similarly, 2y - 5 = 3x + y
2y - y = 3x + 5
y = 3x + 5
y = 3(0.5) + 5
y = 1.5 + 5
y = 6.5
Total length of the hypotenuse = 2y - 5
= 2(6.5) - 5
= 13 - 5
= 8
Option B is the answer.
Total length of the base = (3x + 2.5) + 4
= 3x + 6.5
= 3(0.5) + 6.5
= 8
Option B is the answer.
Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches
Answer:
Adjacent = 9.75 inches.
Step-by-step explanation:
Given the following data;
Hypothenus = 12 inches
Opposite = 7 inches
To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;
Hypothenus² = opposite² + adjacent²
Substituting into the formula, we have;
12² = 7² + adjacent²
144 = 49 + adjacent²
Adjacent² = 144 - 49
Adjacent² = 95
Taking the square root of both sides, we have;
Adjacent = 9.75 inches.
Therefore, the other leg is 9.75 inches.
WILL GIVE BRAINLIEST
(Photo is recommended)
What is the value of the expression 4 4? ____
7/10-1/6 answer in fraction
Answer:
8/15
Step-by-step explanation:
7/10 = 21/30
1/6 = 5/30
21/30-5/30 = 16/30=8/15
Answer:
32/60
Step-by-step explanation:
7/10-1/6
6 and 10 can both go into 60 so you do
10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract
42-10= 32
32/60
Write an inequality for each graph. (photos down below)
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in