A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest side of the triangular monument measure 65 meters. How high off the ground is the top of the monument
Answers
Answer: 70 meters
Step-by-step explanation:
Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.
Replacing with the values given:
65^2 = 16^2 + x^2
4,225 = 256 + x^2
4,225-256 = x^2
3,969=x^2
√3,969 =x
63=x
We have calculated the missing side of the triangle, now we have to add the height of the rectangle:
63 +7 =70 meters
Feel free to ask for more if needed or if you did not understand something.
Related Questions
A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 22 tires right now.
estimate the total number of tires he needs to buy.
Answers
he needs to buy a total of 81 tires to finish the job
Answer:
94 tires
Step-by-step explanation:
He would be able to change 5 cars, but would need to buy 94 more tires.
I divided 22 by 5 and got 5.5. Then, I subtracted 28 minus 5, and got 23 times that by 4 and got 92 but you need to add the extra 2 tires.
√175 Simplify.Remove all perfect squares from inside the square root.
Answers
Answer:
13.22875655532295...
Step-by-step explanation:
not a perfect square so... yea
brainliest pls
Answer:
[tex]5\sqrt{7}[/tex]
Step-by-step explanation:
[tex]\sqrt{175}=\sqrt{7\cdot 25}=\sqrt{7}\cdot \sqrt{25}=\sqrt{7} \cdot 5=5\sqrt{7}[/tex]. Hope this helps!
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42
Answers
Answer:
y ≤ −6x−21
Step-by-step explanation:
-12x – 2y ≥ –42
– 2y ≥ 12x –42
-2(– 2y ≥ 12x –42)
y ≤ −6x−21
really need brainliest!
Answer:
the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21
Step-by-step explanation:
Chase simplified the expression –2 × (5 – 3), and found –2 × 2 = 4. Is Chase correct? Why or why not?
Answers
Answer:
No, the correct answer is -4
Step-by-step explanation:
-2 x (5 - 3)
(5 - 3)= 2
-2 x 2= -4
-4
Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4
From the question,
The expression Chase simplified is–2 × (5 – 3).
First, we will simplify this expression properly and then check if Chase is correct or not.
To simplify the expression –2 × (5 – 3)
First, we will evaluate the expression in the bracket
The expression in the bracket is 5 - 3
5 -3 = 2
Therefore, the expression –2 × (5 – 3) becomes
–2 × (2) = –2 × 2
Now, we will complete the simplification by evaluating –2 × 2
–2 × 2 = -4
∴ Simplifying the expression –2 × (5 – 3) gives -4
Now, to determine if Chase is correct or not, we will compare answers.
Since Chase found –2 × 2 = 4, Chase is not correct because –2 × 2 = –4. He did not add the negative sign.
Hence, Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4
Learn more here: https://brainly.com/question/17208333
You have $2000 to invest in an account and need to have $2500 in five years. What annual interest rate would you need to have in order to have this if the amount is compounded monthly?
a) 4%
b) 2%
c) 5%
d) 3%
Answers
Answer:
c) 5%
Step-by-step explanation:
A = $ 2,566.72
A = P + I where
P (principal) = $ 2,000.00
I (interest) = $ 566.72
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answers
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
a right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length
Answers
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm
Answer:
35cm
Step-by-step explanation:
Write an equation to solve for the value of x. What is the value of x in the figure shown?
Answers
Answer:12
Step-by-step explanation:37=3x+1
17. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller
figure to the larger figure. The figures are not drawn to scale.
3
24
4
32
14
112
OOOO
yes; 1:4
yes; 1:6
yes; 1:8
no
Answers
Answer: yes, 1:8
Step-by-step explanation:
Each side multiplied by 8 equals the corresponding sides on the larger figure, which means the larger figure is 8 times bigger than the smaller one.
PLEASE GIVE BRAINLIEST
Both the figure is similar by the scale factor of 1:8. Option C is correct.
It is to be determine that both the figure are similar or not. If similar than by what factor.
The scale factor is defined as the ratio of modified change in dimension to original dimensions.
Both the figure will similar if the ratio of the sides are equal. i.e.
⇒ 3/24=4/32=14/112
1/8 = 1/8 = 1/8
Ratio of the sides are equal by factor of 1/8.
Thus, both the figure is similar by the scale factor of 1:8.
Learn more about Scale factor here:
https://brainly.com/question/22312172
#SPJ2
How long is DE?
Any help will be appreciated thank you
Answers
Answer: 4
Step-by-step explanation:
solve for the missing angle
the total degrees a triangle can have is 180 so
[tex]180-90-60=30[/tex]
use law of sines to solve for x
[tex]\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}[/tex]
cross multiply
[tex]sin60*x=4\sqrt{3} sin30[/tex]
divide by [tex]sin60[/tex]
[tex]x=\frac{4\sqrt{3}sin30 }{sin60}[/tex]
type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES
Carlos bought 80 feet of wire for $17.60. He needs 30 more feet. If the unit price is the same, how much will he pay for the extra 30 feet of wire?
Answers
Answer:
Carlos bought 80 feet of wire for $17.60.
Then the price for 1 feet of wire is 17.6/80 = 0.22
=> 30 feet of wire would cost: 30 x 0.22 = 6.6
Hope this helps!
:)
5. Decide whether each statement is true or false. (1 point each)
a. T/F: If there is a strong correlation between two variables, the correlation coefficient will be close to –1 or 1.
b. T/F: If there is a negative correlation between two variables, the slope of the regression line will be positive.
c. T/F: If there is a strong correlation between two variables, there is a cause-and-effect relationship.
d. T/F: The best model for data that change direction is a linear model.
e. T/F: A regression line is useful for predicting unknown values within the range of the observed data values.
Answers
Answer:
T
F
F
F
T
Hope This Helped! :D
Answer:
ba p e x
Step-by-step explanation:
t
f
f
f
t
Factor the expression 4x^2 - 12x - 7
Answers
Answer:
(2x+1) (2x-7)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 4 • -7 = -28
Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12
( -28 + 1 = -27
-14 + 2 = -12 )
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
4x2 - 14x + 2x - 7
Add up the first 2 terms, pulling out like factors :
2x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Add up the four terms :
(2x+1) • (2x-7)
Jessica's basketball team qualified for the annual championship tournament in Austin. The coach told the team members they would need to earn $2,500 to pay for gas, food, and hotel expenses. The team had a car wash and a bake sale and so far have earned 45% of the money needed for the trip. How much money do they still need to earn for the trip?
Answers
Answer:
1375
Step-by-step explanation:
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answers
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.
Answers
Answer:
The answer is 19,75 people / km2
Step-by-step explanation:
Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city
The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.
The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is
79 / 4 = 19,75 people per kilometer square.
I hope this answer helps.
The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answers
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
Learn more:
https://brainly.com/question/21225344
work out
3/17 x 17/21
write the answer in its lowest form
Answers
3 × 17 over 17 × 21 with the first as numerator and second one as denominator
We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7
The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
From the question,
We are to evaluate 3/17 x 17/21
First, we will write the expression properly
The expression can be written as
[tex]\frac{3}{17} \times \frac{17}{21}[/tex]
The expression can be evaluated as shown below
[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes
[tex]\frac{3 \times 17}{17 \times 21}[/tex]
Simplifying, we get
[tex]\frac{3}{21}[/tex]
Further simplification gives
[tex]\frac{1}{7}[/tex]
Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
Learn more here: https://brainly.com/question/18736267
THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP..... I NEED TO SUBMIT IT NOW......
Answers
(-28/81)/(-2/3) = -84/(-162) = 42/81
Work
Think of this simple question:
Two number when multiplied together give 15. If one number is 5, then the other is (15/5)=3.
Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3
Answers
Answer:
C) 104 units^3
Step-by-step explanation:
The formula for volume in a rectangular prism is V=lwh
There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.
smallest: V=(2)(2)(4) = 16
Medium: (2)(2)(6) = 24
Largest: (2)(2)(16) = 64
Add it together: 16+24+64= 104
Your answer is 104 units^3
:)
The radius of a circle is 2 centimeters. What is the circles circumference?
Answers
Answer: 4π cm or 12.56 cm
Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.
Since the radius is 2 centimeters, we can
plug in 2 centimeters for r in the formula.
So we have (2)(π)(2 cm) which is equal to 4π cm.
So the circumference of this circle is 4π cm.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (4)(3.14) which is equal to 12.56.
So the circumference of the circle is
approximately equal to 12.56 cm.
a/2 = b/5
Please just help...
Answers
Evaluated: a=2b/5 :):):):):):):)
2/5a=b and5 /Answer:
Step-by-step explanation:a=
2b
6 radians is the same as____
Round to the nearest hundredth of a degree.
Answers
Answer:
343.77
Step-by-step explanation:
1 radian is about 57.2958 degrees
so 57 times 6 is about 343.77
State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answers
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
Charlotte have 36 apple,Dylan have 1 apple and Kevin have 56 apple how many apples are left?
Answers
Answer:
93 apples?
Step-by-step explanation:
36 + 1 + 56 = 93 apples?
The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answers
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
please help! i do not understand
Answers
Answer:
90%
Step-by-step explanation:
Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.
Please help me!!!!!!!
Write a quadratic function whose zeros are 2 and 13.
Answers
Answer:
x^2-15+26
Step-by-step explanation:
(x-13)(x-2)=x^2-2x-13x+26=x^2-15+26
Hope this helps! Please mark brainliest :)
A rectangular garden has a walkway around it. The area of the garden is 4(4.5xplus1.5). The combined area of the garden and the walkway is 5.5(8xplus4). Find the area of the walkway around the garden as the sum of two terms.
Answers
Answer:
Walkway is 1.5 units²
Step-by-step explanation:
Just subtract the area of the garden from the combined area:
5.5-4=1.5
Also did you mean difference? I don't know what it means by sum.
For every bracelet she sells, she gives her business partner $4. If Latrece sells 18 bracelets for a total of $207, how much money will Latrece keep from each bracelet sold?
Answers
Answer:
Latrece gets to keep 135.
Step-by-step explanation:
so you would multiply 18 by 4 to get 72. Then you would subtract 207 by 72 to get 135
Answer:
7.50
Step-by-step explanation:
For 18 bracelets
She will give per partner
18*4 =72
She will keep all but 72 dollars
207 - 72 =135
She wants to know how much per bracelet so divide by the number of bracelets
135 / 18 =7.5
