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Kamila [148]
3 years ago
8

lena's house casts a shadow that is 14 feet long at the same time that lena casts a shaodw that is 3.5 feet long if lena is 4.5

feet tall how tall is hr house?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0
The house is 18 ft tall
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(Will give Brainliest, these are angle relationships) Please help, and show work, what relationship is it and set up an equation
kozerog [31]
Supplementary angles
x+20+5x+10=180
6x+30=180
6x=150
x=25
7 0
3 years ago
Read 2 more answers
1 pt) If a parametric surface given by r1(u,v)=f(u,v)i+g(u,v)j+h(u,v)k and −4≤u≤4,−4≤v≤4, has surface area equal to 1, what is t
natta225 [31]

The area of the surface given by \vec r_1(u,v) is 1. In terms of a surface integral, we have

1=\displaystyle\int_{-4}^4\int_{-4}^4\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv

By multiplying each component in \vec r_1 by 5, we have

\dfrac{\partial\vec r_2(u,v)}{\partial u}=5\dfrac{\partial\vec r_1(u,v)}{\partial u}

and the same goes for the derivative with respect to v. Then the area of the surface given by \vec r_2(u,v) is

\displaystyle\int_{-4}^4\int_{-4}^425\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\boxed{25}

8 0
3 years ago
Solve the system of equations using the substitution method.
Karolina [17]
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:

First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)

Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
4x + 5(3x+9) = 7

Expand.
4x + 15x + 45 = 7

Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
19x = -38

Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2

Now we solved x already, we can just substitute x= - 2 back to equation (2).

y = 3(-2) + 9
y = - 6 + 9
y = 3

So, the answers are
x = - 2
y = 3
3 0
3 years ago
A photographic negative is 3 cm by 2 cm. A similar print from the negative is 9cm long on its shorter side. What is the length o
lbvjy [14]

Answer:

13.5 cm

Step-by-step explanation:

9 divided by 2 = 4.5 *There's a 4.5 increase

3 X 4.5 = 13.5

The new print is 13.5cm by 9cm

5 0
3 years ago
Select all of the equations that are true.
ValentinkaMS [17]

Answer:

none

823÷418=2

1112÷834=1.333333333

8 0
2 years ago
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