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nexus9112 [7]
3 years ago
9

Find the value of u to the nearest tenth of a centimeter

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

u = 3.8 cm

Step-by-step explanation:

Since these triangles are similar, we can use a proportion to solve:

\frac{8}{6}= \frac{5}{u}

Cross multiply:

8u = 30

Divide both sides by 8:

3.75 cm

Round to nearest tenth:

3.8 cm

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

     ★ Also please leave the rating you think I deserve (It helps other users learn as well as helps me improve my answers)

- Heather

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Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3.
WITCHER [35]
G(-3) = -3-7 = -10;
f(g(-3))=f(-10) = 2 x (-10) + 5 = - 20 + 5 = -15.
6 0
3 years ago
Resultado de esta cuenta Explicada cuenta completa:<br><br>(6+3)²=​
Mumz [18]

81 is the correct answer

hope it helps you have a good day

7 0
3 years ago
Write two decimals that are equivalent to 3.7
DedPeter [7]
3.70 and 3.700 are some examples to get you started.
4 0
3 years ago
Read 2 more answers
13
zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

6 0
3 years ago
The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume o
alekssr [168]
We know that

if t<span>he temperature T of a given mass of gas varies inversely with its volume V 
</span>then
T=k/V

Step 1
Find the value of k
for T=30º C and V=105 cm³
we have 
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³

therefore
for V=84 cm³
T=3150/84=37.5 °C

the answer is 37.5 °C
3 0
3 years ago
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