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Marizza181 [45]
3 years ago
5

Solve 9(t-7)=u for t Show all solving steps.

Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer:

t =\frac{u}{9} +7

Step-by-step explanation:

9(t-7)=u

9t-63=u

9t = u+63

\frac{9t}{9} = \frac{u +63}{9}

t =\frac{u +63}{9}

t =\frac{u}{9} +7

Hope this helps you.

Let me know if you have any other questions :-)

Gwar [14]3 years ago
3 0

\begin{gathered}\\ \sf\longmapsto 9(t-7)=u\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9t-63=u\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9t=u+63\end{gathered}

\begin{gathered}\\ \sf\longmapsto \frac{9t}{9}=\frac{u+63}{9}\end{gathered}

\begin{gathered}\\ \sf\longmapsto t=\frac{u+63}{9} \end{gathered}

\begin{gathered}\\ \sf\longmapsto t=\frac{u}{9}+7\end{gathered}

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The length of the dollhouse is 156 square inches
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Gail is making costumes for a school play. Each rabbit costume needs one and one half yards of white fur fabric, a yard of blue
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Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
The coordinates triangle ABC are A (0, 2), B (-2, 6), and C (4, 0). Find the slope of BC.
salantis [7]

In the given triangle, the slope of line BC is (C) -1.

<h3>What is the slope?</h3>

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's slope is how steeply it slopes from LEFT to RIGHT.

The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.

No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).

So, the slope of line BC:

Coordinates of BC are:

B: (-2, 6)

C: (4, 0)

Slope formula: m = y2-y1/x2-x1

Now, substitute the values and calculate as follows:

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m = 0-6/4-(-2)

m = -6/6

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Therefore, in the given triangle, the slope of line BC is (C) -1.

Know more about slopes here:

brainly.com/question/29280886

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8 0
1 year ago
Solve for y: 1.7-(3+2.4y) = 4(3y-2.91)
frez [133]
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-2.4y = 12y - 11.64

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y= 10.34/14.4= 5.17/7.20 or 517/720
6 0
3 years ago
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